tabela 1: func˜ao de distribuic˜ao binomial · tabelas de probabilidades e estat´istica tabela...
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TABELAS DE PROBABILIDADES E ESTATISTICA
Tabela 1: Funcao de distribuicao Binomial
FX(x) =x∑
k=0
(n
k
)pk(1− p)n−k
n x \ p 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50
1 0 0.9900 0.9800 0.9700 0.9600 0.9500 0.9400 0.9300 0.9200 0.9100 0.9000 0.8500 0.8000 0.7500 0.7000 0.6500 0.6000 0.5500 0.50001 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
2 0 0.9801 0.9604 0.9409 0.9216 0.9025 0.8836 0.8649 0.8464 0.8281 0.8100 0.7225 0.6400 0.5625 0.4900 0.4225 0.3600 0.3025 0.25001 0.9999 0.9996 0.9991 0.9984 0.9975 0.9964 0.9951 0.9936 0.9919 0.9900 0.9775 0.9600 0.9375 0.9100 0.8775 0.8400 0.7975 0.75002 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
3 0 0.9703 0.9412 0.9127 0.8847 0.8574 0.8306 0.8044 0.7787 0.7536 0.7290 0.6141 0.5120 0.4219 0.3430 0.2746 0.2160 0.1664 0.12501 0.9997 0.9988 0.9974 0.9953 0.9928 0.9896 0.9860 0.9818 0.9772 0.9720 0.9393 0.8960 0.8438 0.7840 0.7183 0.6480 0.5748 0.50002 1.0000 1.0000 1.0000 0.9999 0.9999 0.9998 0.9997 0.9995 0.9993 0.9990 0.9966 0.9920 0.9844 0.9730 0.9571 0.9360 0.9089 0.87503 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
4 0 0.9606 0.9224 0.8853 0.8493 0.8145 0.7807 0.7481 0.7164 0.6857 0.6561 0.5220 0.4096 0.3164 0.2401 0.1785 0.1296 0.0915 0.06251 0.9994 0.9977 0.9948 0.9909 0.9860 0.9801 0.9733 0.9656 0.9570 0.9477 0.8905 0.8192 0.7383 0.6517 0.5630 0.4752 0.3910 0.31252 1.0000 1.0000 0.9999 0.9998 0.9995 0.9992 0.9987 0.9981 0.9973 0.9963 0.9880 0.9728 0.9492 0.9163 0.8735 0.8208 0.7585 0.68753 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9995 0.9984 0.9961 0.9919 0.9850 0.9744 0.9590 0.93754 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
5 0 0.9510 0.9039 0.8587 0.8154 0.7738 0.7339 0.6957 0.6591 0.6240 0.5905 0.4437 0.3277 0.2373 0.1681 0.1160 0.0778 0.0503 0.03131 0.9990 0.9962 0.9915 0.9852 0.9774 0.9681 0.9575 0.9456 0.9326 0.9185 0.8352 0.7373 0.6328 0.5282 0.4284 0.3370 0.2562 0.18752 1.0000 0.9999 0.9997 0.9994 0.9988 0.9980 0.9969 0.9955 0.9937 0.9914 0.9734 0.9421 0.8965 0.8369 0.7648 0.6826 0.5931 0.50003 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9998 0.9997 0.9995 0.9978 0.9933 0.9844 0.9692 0.9460 0.9130 0.8688 0.81254 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9990 0.9976 0.9947 0.9898 0.9815 0.96885 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
6 0 0.9415 0.8858 0.8330 0.7828 0.7351 0.6899 0.6470 0.6064 0.5679 0.5314 0.3771 0.2621 0.1780 0.1176 0.0754 0.0467 0.0277 0.01561 0.9985 0.9943 0.9875 0.9784 0.9672 0.9541 0.9392 0.9227 0.9048 0.8857 0.7765 0.6554 0.5339 0.4202 0.3191 0.2333 0.1636 0.10942 1.0000 0.9998 0.9995 0.9988 0.9978 0.9962 0.9942 0.9915 0.9882 0.9842 0.9527 0.9011 0.8306 0.7443 0.6471 0.5443 0.4415 0.34383 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 0.9995 0.9992 0.9987 0.9941 0.9830 0.9624 0.9295 0.8826 0.8208 0.7447 0.65634 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9996 0.9984 0.9954 0.9891 0.9777 0.9590 0.9308 0.89065 1.0000 1.0000 0.9999 0.9998 0.9993 0.9982 0.9959 0.9917 0.98446 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
7 0 0.9321 0.8681 0.8080 0.7514 0.6983 0.6485 0.6017 0.5578 0.5168 0.4783 0.3206 0.2097 0.1335 0.0824 0.0490 0.0280 0.0152 0.00781 0.9980 0.9921 0.9829 0.9706 0.9556 0.9382 0.9187 0.8974 0.8745 0.8503 0.7166 0.5767 0.4449 0.3294 0.2338 0.1586 0.1024 0.06252 1.0000 0.9997 0.9991 0.9980 0.9962 0.9937 0.9903 0.9860 0.9807 0.9743 0.9262 0.8520 0.7564 0.6471 0.5323 0.4199 0.3164 0.22663 1.0000 1.0000 0.9999 0.9998 0.9996 0.9993 0.9988 0.9982 0.9973 0.9879 0.9667 0.9294 0.8740 0.8002 0.7102 0.6083 0.50004 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9998 0.9988 0.9953 0.9871 0.9712 0.9444 0.9037 0.8471 0.77345 1.0000 1.0000 1.0000 0.9999 0.9996 0.9987 0.9962 0.9910 0.9812 0.9643 0.93756 1.0000 1.0000 0.9999 0.9998 0.9994 0.9984 0.9963 0.99227 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
8 0 0.9227 0.8508 0.7837 0.7214 0.6634 0.6096 0.5596 0.5132 0.4703 0.4305 0.2725 0.1678 0.1001 0.0576 0.0319 0.0168 0.0084 0.00391 0.9973 0.9897 0.9777 0.9619 0.9428 0.9208 0.8965 0.8702 0.8423 0.8131 0.6572 0.5033 0.3671 0.2553 0.1691 0.1064 0.0632 0.03522 0.9999 0.9996 0.9987 0.9969 0.9942 0.9904 0.9853 0.9789 0.9711 0.9619 0.8948 0.7969 0.6785 0.5518 0.4278 0.3154 0.2201 0.14453 1.0000 1.0000 0.9999 0.9998 0.9996 0.9993 0.9987 0.9978 0.9966 0.9950 0.9786 0.9437 0.8862 0.8059 0.7064 0.5941 0.4770 0.36334 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9997 0.9996 0.9971 0.9896 0.9727 0.9420 0.8939 0.8263 0.7396 0.63675 1.0000 1.0000 1.0000 1.0000 0.9998 0.9988 0.9958 0.9887 0.9747 0.9502 0.9115 0.85556 1.0000 0.9999 0.9996 0.9987 0.9964 0.9915 0.9819 0.96487 1.0000 1.0000 0.9999 0.9998 0.9993 0.9983 0.99618 1.0000 1.0000 1.0000 1.0000 1.0000
9 0 0.9135 0.8337 0.7602 0.6925 0.6302 0.5730 0.5204 0.4722 0.4279 0.3874 0.2316 0.1342 0.0751 0.0404 0.0207 0.0101 0.0046 0.00201 0.9966 0.9869 0.9718 0.9522 0.9288 0.9022 0.8729 0.8417 0.8088 0.7748 0.5995 0.4362 0.3003 0.1960 0.1211 0.0705 0.0385 0.01952 0.9999 0.9994 0.9980 0.9955 0.9916 0.9862 0.9791 0.9702 0.9595 0.9470 0.8591 0.7382 0.6007 0.4628 0.3373 0.2318 0.1495 0.08983 1.0000 1.0000 0.9999 0.9997 0.9994 0.9987 0.9977 0.9963 0.9943 0.9917 0.9661 0.9144 0.8343 0.7297 0.6089 0.4826 0.3614 0.25394 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 0.9995 0.9991 0.9944 0.9804 0.9511 0.9012 0.8283 0.7334 0.6214 0.50005 1.0000 1.0000 1.0000 1.0000 0.9999 0.9994 0.9969 0.9900 0.9747 0.9464 0.9006 0.8342 0.74616 1.0000 1.0000 0.9997 0.9987 0.9957 0.9888 0.9750 0.9502 0.91027 1.0000 0.9999 0.9996 0.9986 0.9962 0.9909 0.98058 1.0000 1.0000 0.9999 0.9997 0.9992 0.99809 1.0000 1.0000 1.0000 1.0000
10 0 0.9044 0.8171 0.7374 0.6648 0.5987 0.5386 0.4840 0.4344 0.3894 0.3487 0.1969 0.1074 0.0563 0.0282 0.0135 0.0060 0.0025 0.00101 0.9957 0.9838 0.9655 0.9418 0.9139 0.8824 0.8483 0.8121 0.7746 0.7361 0.5443 0.3758 0.2440 0.1493 0.0860 0.0464 0.0233 0.01072 0.9999 0.9991 0.9972 0.9938 0.9885 0.9812 0.9717 0.9599 0.9460 0.9298 0.8202 0.6778 0.5256 0.3828 0.2616 0.1673 0.0996 0.05473 1.0000 1.0000 0.9999 0.9996 0.9990 0.9980 0.9964 0.9942 0.9912 0.9872 0.9500 0.8791 0.7759 0.6496 0.5138 0.3823 0.2660 0.17194 1.0000 1.0000 0.9999 0.9998 0.9997 0.9994 0.9990 0.9984 0.9901 0.9672 0.9219 0.8497 0.7515 0.6331 0.5044 0.37705 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9986 0.9936 0.9803 0.9527 0.9051 0.8338 0.7384 0.62306 1.0000 1.0000 0.9999 0.9991 0.9965 0.9894 0.9740 0.9452 0.8980 0.82817 1.0000 0.9999 0.9996 0.9984 0.9952 0.9877 0.9726 0.94538 1.0000 1.0000 0.9999 0.9995 0.9983 0.9955 0.98939 1.0000 1.0000 0.9999 0.9997 0.999010 1.0000 1.0000 1.0000
TABELAS DAS DISTRIBUIÇÕES TEÓRICAS
1
n x \ p 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50
11 0 0.8953 0.8007 0.7153 0.6382 0.5688 0.5063 0.4501 0.3996 0.3544 0.3138 0.1673 0.0859 0.0422 0.0198 0.0088 0.0036 0.0014 0.00051 0.9948 0.9805 0.9587 0.9308 0.8981 0.8618 0.8228 0.7819 0.7399 0.6974 0.4922 0.3221 0.1971 0.1130 0.0606 0.0302 0.0139 0.00592 0.9998 0.9988 0.9963 0.9917 0.9848 0.9752 0.9630 0.9481 0.9305 0.9104 0.7788 0.6174 0.4552 0.3127 0.2001 0.1189 0.0652 0.03273 1.0000 1.0000 0.9998 0.9993 0.9984 0.9970 0.9947 0.9915 0.9871 0.9815 0.9306 0.8389 0.7133 0.5696 0.4256 0.2963 0.1911 0.11334 1.0000 1.0000 0.9999 0.9997 0.9995 0.9990 0.9983 0.9972 0.9841 0.9496 0.8854 0.7897 0.6683 0.5328 0.3971 0.27445 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 0.9973 0.9883 0.9657 0.9218 0.8513 0.7535 0.6331 0.50006 1.0000 1.0000 1.0000 0.9997 0.9980 0.9924 0.9784 0.9499 0.9006 0.8262 0.72567 1.0000 0.9998 0.9988 0.9957 0.9878 0.9707 0.9390 0.88678 1.0000 0.9999 0.9994 0.9980 0.9941 0.9852 0.96739 1.0000 1.0000 0.9998 0.9993 0.9978 0.994110 1.0000 1.0000 0.9998 0.999511 1.0000 1.0000
12 0 0.8864 0.7847 0.6938 0.6127 0.5404 0.4759 0.4186 0.3677 0.3225 0.2824 0.1422 0.0687 0.0317 0.0138 0.0057 0.0022 0.0008 0.00021 0.9938 0.9769 0.9514 0.9191 0.8816 0.8405 0.7967 0.7513 0.7052 0.6590 0.4435 0.2749 0.1584 0.0850 0.0424 0.0196 0.0083 0.00322 0.9998 0.9985 0.9952 0.9893 0.9804 0.9684 0.9532 0.9348 0.9134 0.8891 0.7358 0.5583 0.3907 0.2528 0.1513 0.0834 0.0421 0.01933 1.0000 0.9999 0.9997 0.9990 0.9978 0.9957 0.9925 0.9880 0.9820 0.9744 0.9078 0.7946 0.6488 0.4925 0.3467 0.2253 0.1345 0.07304 1.0000 1.0000 0.9999 0.9998 0.9996 0.9991 0.9984 0.9973 0.9957 0.9761 0.9274 0.8424 0.7237 0.5833 0.4382 0.3044 0.19385 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 0.9995 0.9954 0.9806 0.9456 0.8822 0.7873 0.6652 0.5269 0.38726 1.0000 1.0000 1.0000 0.9999 0.9993 0.9961 0.9857 0.9614 0.9154 0.8418 0.7393 0.61287 1.0000 0.9999 0.9994 0.9972 0.9905 0.9745 0.9427 0.8883 0.80628 1.0000 0.9999 0.9996 0.9983 0.9944 0.9847 0.9644 0.92709 1.0000 1.0000 0.9998 0.9992 0.9972 0.9921 0.980710 1.0000 0.9999 0.9997 0.9989 0.996811 1.0000 1.0000 0.9999 0.999812 1.0000 1.0000
13 0 0.8775 0.7690 0.6730 0.5882 0.5133 0.4474 0.3893 0.3383 0.2935 0.2542 0.1209 0.0550 0.0238 0.0097 0.0037 0.0013 0.0004 0.00011 0.9928 0.9730 0.9436 0.9068 0.8646 0.8186 0.7702 0.7206 0.6707 0.6213 0.3983 0.2336 0.1267 0.0637 0.0296 0.0126 0.0049 0.00172 0.9997 0.9980 0.9938 0.9865 0.9755 0.9608 0.9422 0.9201 0.8946 0.8661 0.6920 0.5017 0.3326 0.2025 0.1132 0.0579 0.0269 0.01123 1.0000 0.9999 0.9995 0.9986 0.9969 0.9940 0.9897 0.9837 0.9758 0.9658 0.8820 0.7473 0.5843 0.4206 0.2783 0.1686 0.0929 0.04614 1.0000 1.0000 0.9999 0.9997 0.9993 0.9987 0.9976 0.9959 0.9935 0.9658 0.9009 0.7940 0.6543 0.5005 0.3530 0.2279 0.13345 1.0000 1.0000 0.9999 0.9999 0.9997 0.9995 0.9991 0.9925 0.9700 0.9198 0.8346 0.7159 0.5744 0.4268 0.29056 1.0000 1.0000 1.0000 0.9999 0.9999 0.9987 0.9930 0.9757 0.9376 0.8705 0.7712 0.6437 0.50007 1.0000 1.0000 0.9998 0.9988 0.9944 0.9818 0.9538 0.9023 0.8212 0.70958 1.0000 0.9998 0.9990 0.9960 0.9874 0.9679 0.9302 0.86669 1.0000 0.9999 0.9993 0.9975 0.9922 0.9797 0.953910 1.0000 0.9999 0.9997 0.9987 0.9959 0.988811 1.0000 1.0000 0.9999 0.9995 0.998312 1.0000 1.0000 0.999913 1.0000
14 0 0.8687 0.7536 0.6528 0.5647 0.4877 0.4205 0.3620 0.3112 0.2670 0.2288 0.1028 0.0440 0.0178 0.0068 0.0024 0.0008 0.0002 0.00011 0.9916 0.9690 0.9355 0.8941 0.8470 0.7963 0.7436 0.6900 0.6368 0.5846 0.3567 0.1979 0.1010 0.0475 0.0205 0.0081 0.0029 0.00092 0.9997 0.9975 0.9923 0.9833 0.9699 0.9522 0.9302 0.9042 0.8745 0.8416 0.6479 0.4481 0.2811 0.1608 0.0839 0.0398 0.0170 0.00653 1.0000 0.9999 0.9994 0.9981 0.9958 0.9920 0.9864 0.9786 0.9685 0.9559 0.8535 0.6982 0.5213 0.3552 0.2205 0.1243 0.0632 0.02874 1.0000 1.0000 0.9998 0.9996 0.9990 0.9980 0.9965 0.9941 0.9908 0.9533 0.8702 0.7415 0.5842 0.4227 0.2793 0.1672 0.08985 1.0000 1.0000 0.9999 0.9998 0.9996 0.9992 0.9985 0.9885 0.9561 0.8883 0.7805 0.6405 0.4859 0.3373 0.21206 1.0000 1.0000 1.0000 0.9999 0.9998 0.9978 0.9884 0.9617 0.9067 0.8164 0.6925 0.5461 0.39537 1.0000 1.0000 0.9997 0.9976 0.9897 0.9685 0.9247 0.8499 0.7414 0.60478 1.0000 0.9996 0.9978 0.9917 0.9757 0.9417 0.8811 0.78809 1.0000 0.9997 0.9983 0.9940 0.9825 0.9574 0.910210 1.0000 0.9998 0.9989 0.9961 0.9886 0.971311 1.0000 0.9999 0.9994 0.9978 0.993512 1.0000 0.9999 0.9997 0.999113 1.0000 1.0000 0.999914 1.0000
15 0 0.8601 0.7386 0.6333 0.5421 0.4633 0.3953 0.3367 0.2863 0.2430 0.2059 0.0874 0.0352 0.0134 0.0047 0.0016 0.0005 0.0001 0.00001 0.9904 0.9647 0.9270 0.8809 0.8290 0.7738 0.7168 0.6597 0.6035 0.5490 0.3186 0.1671 0.0802 0.0353 0.0142 0.0052 0.0017 0.00052 0.9996 0.9970 0.9906 0.9797 0.9638 0.9429 0.9171 0.8870 0.8531 0.8159 0.6042 0.3980 0.2361 0.1268 0.0617 0.0271 0.0107 0.00373 1.0000 0.9998 0.9992 0.9976 0.9945 0.9896 0.9825 0.9727 0.9601 0.9444 0.8227 0.6482 0.4613 0.2969 0.1727 0.0905 0.0424 0.01764 1.0000 0.9999 0.9998 0.9994 0.9986 0.9972 0.9950 0.9918 0.9873 0.9383 0.8358 0.6865 0.5155 0.3519 0.2173 0.1204 0.05925 1.0000 1.0000 0.9999 0.9999 0.9997 0.9993 0.9987 0.9978 0.9832 0.9389 0.8516 0.7216 0.5643 0.4032 0.2608 0.15096 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 0.9964 0.9819 0.9434 0.8689 0.7548 0.6098 0.4522 0.30367 1.0000 1.0000 1.0000 0.9994 0.9958 0.9827 0.9500 0.8868 0.7869 0.6535 0.50008 0.9999 0.9992 0.9958 0.9848 0.9578 0.9050 0.8182 0.69649 1.0000 0.9999 0.9992 0.9963 0.9876 0.9662 0.9231 0.849110 1.0000 0.9999 0.9993 0.9972 0.9907 0.9745 0.940811 1.0000 0.9999 0.9995 0.9981 0.9937 0.982412 1.0000 0.9999 0.9997 0.9989 0.996313 1.0000 1.0000 0.9999 0.999514 1.0000 1.0000
16 0 0.8515 0.7238 0.6143 0.5204 0.4401 0.3716 0.3131 0.2634 0.2211 0.1853 0.0743 0.0281 0.0100 0.0033 0.0010 0.0003 0.0001 0.00001 0.9891 0.9601 0.9182 0.8673 0.8108 0.7511 0.6902 0.6299 0.5711 0.5147 0.2839 0.1407 0.0635 0.0261 0.0098 0.0033 0.0010 0.00032 0.9995 0.9963 0.9887 0.9758 0.9571 0.9327 0.9031 0.8689 0.8306 0.7892 0.5614 0.3518 0.1971 0.0994 0.0451 0.0183 0.0066 0.00213 1.0000 0.9998 0.9989 0.9968 0.9930 0.9868 0.9779 0.9658 0.9504 0.9316 0.7899 0.5981 0.4050 0.2459 0.1339 0.0651 0.0281 0.01064 1.0000 0.9999 0.9997 0.9991 0.9981 0.9962 0.9932 0.9889 0.9830 0.9209 0.7982 0.6302 0.4499 0.2892 0.1666 0.0853 0.03845 1.0000 1.0000 0.9999 0.9998 0.9995 0.9990 0.9981 0.9967 0.9765 0.9183 0.8103 0.6598 0.4900 0.3288 0.1976 0.10516 1.0000 1.0000 0.9999 0.9999 0.9997 0.9995 0.9944 0.9733 0.9204 0.8247 0.6881 0.5272 0.3660 0.22727 1.0000 1.0000 1.0000 0.9999 0.9989 0.9930 0.9729 0.9256 0.8406 0.7161 0.5629 0.40188 1.0000 0.9998 0.9985 0.9925 0.9743 0.9329 0.8577 0.7441 0.59829 1.0000 0.9998 0.9984 0.9929 0.9771 0.9417 0.8759 0.772810 1.0000 0.9997 0.9984 0.9938 0.9809 0.9514 0.894911 1.0000 0.9997 0.9987 0.9951 0.9851 0.961612 1.0000 0.9998 0.9991 0.9965 0.989413 1.0000 0.9999 0.9994 0.997914 1.0000 0.9999 0.999715 1.0000 1.0000
2
n x \ p 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50
17 0 0.8429 0.7093 0.5958 0.4996 0.4181 0.3493 0.2912 0.2423 0.2012 0.1668 0.0631 0.0225 0.0075 0.0023 0.0007 0.0002 0.0000 0.00001 0.9877 0.9554 0.9091 0.8535 0.7922 0.7283 0.6638 0.6005 0.5396 0.4818 0.2525 0.1182 0.0501 0.0193 0.0067 0.0021 0.0006 0.00012 0.9994 0.9956 0.9866 0.9714 0.9497 0.9218 0.8882 0.8497 0.8073 0.7618 0.5198 0.3096 0.1637 0.0774 0.0327 0.0123 0.0041 0.00123 1.0000 0.9997 0.9986 0.9960 0.9912 0.9836 0.9727 0.9581 0.9397 0.9174 0.7556 0.5489 0.3530 0.2019 0.1028 0.0464 0.0184 0.00644 1.0000 0.9999 0.9996 0.9988 0.9974 0.9949 0.9911 0.9855 0.9779 0.9013 0.7582 0.5739 0.3887 0.2348 0.1260 0.0596 0.02455 1.0000 1.0000 0.9999 0.9997 0.9993 0.9985 0.9973 0.9953 0.9681 0.8943 0.7653 0.5968 0.4197 0.2639 0.1471 0.07176 1.0000 1.0000 0.9999 0.9998 0.9996 0.9992 0.9917 0.9623 0.8929 0.7752 0.6188 0.4478 0.2902 0.16627 1.0000 1.0000 1.0000 0.9999 0.9983 0.9891 0.9598 0.8954 0.7872 0.6405 0.4743 0.31458 1.0000 0.9997 0.9974 0.9876 0.9597 0.9006 0.8011 0.6626 0.50009 1.0000 0.9995 0.9969 0.9873 0.9617 0.9081 0.8166 0.685510 0.9999 0.9994 0.9968 0.9880 0.9652 0.9174 0.833811 1.0000 0.9999 0.9993 0.9970 0.9894 0.9699 0.928312 1.0000 0.9999 0.9994 0.9975 0.9914 0.975513 1.0000 0.9999 0.9995 0.9981 0.993614 1.0000 0.9999 0.9997 0.998815 1.0000 1.0000 0.999916 1.0000
18 0 0.8345 0.6951 0.5780 0.4796 0.3972 0.3283 0.2708 0.2229 0.1831 0.1501 0.0536 0.0180 0.0056 0.0016 0.0004 0.0001 0.0000 0.00001 0.9862 0.9505 0.8997 0.8393 0.7735 0.7055 0.6378 0.5719 0.5091 0.4503 0.2241 0.0991 0.0395 0.0142 0.0046 0.0013 0.0003 0.00012 0.9993 0.9948 0.9843 0.9667 0.9419 0.9102 0.8725 0.8298 0.7832 0.7338 0.4797 0.2713 0.1353 0.0600 0.0236 0.0082 0.0025 0.00073 1.0000 0.9996 0.9982 0.9950 0.9891 0.9799 0.9667 0.9494 0.9277 0.9018 0.7202 0.5010 0.3057 0.1646 0.0783 0.0328 0.0120 0.00384 1.0000 0.9998 0.9994 0.9985 0.9966 0.9933 0.9884 0.9814 0.9718 0.8794 0.7164 0.5187 0.3327 0.1886 0.0942 0.0411 0.01545 1.0000 0.9999 0.9998 0.9995 0.9990 0.9979 0.9962 0.9936 0.9581 0.8671 0.7175 0.5344 0.3550 0.2088 0.1077 0.04816 1.0000 1.0000 1.0000 0.9999 0.9997 0.9994 0.9988 0.9882 0.9487 0.8610 0.7217 0.5491 0.3743 0.2258 0.11897 1.0000 1.0000 0.9999 0.9998 0.9973 0.9837 0.9431 0.8593 0.7283 0.5634 0.3915 0.24038 1.0000 1.0000 0.9995 0.9957 0.9807 0.9404 0.8609 0.7368 0.5778 0.40739 0.9999 0.9991 0.9946 0.9790 0.9403 0.8653 0.7473 0.592710 1.0000 0.9998 0.9988 0.9939 0.9788 0.9424 0.8720 0.759711 1.0000 0.9998 0.9986 0.9938 0.9797 0.9463 0.881112 1.0000 0.9997 0.9986 0.9942 0.9817 0.951913 1.0000 0.9997 0.9987 0.9951 0.984614 1.0000 0.9998 0.9990 0.996215 1.0000 0.9999 0.999316 1.0000 0.999917 1.0000
19 0 0.8262 0.6812 0.5606 0.4604 0.3774 0.3086 0.2519 0.2051 0.1666 0.1351 0.0456 0.0144 0.0042 0.0011 0.0003 0.0001 0.0000 0.00001 0.9847 0.9454 0.8900 0.8249 0.7547 0.6829 0.6121 0.5440 0.4798 0.4203 0.1985 0.0829 0.0310 0.0104 0.0031 0.0008 0.0002 0.00002 0.9991 0.9939 0.9817 0.9616 0.9335 0.8979 0.8561 0.8092 0.7585 0.7054 0.4413 0.2369 0.1113 0.0462 0.0170 0.0055 0.0015 0.00043 1.0000 0.9995 0.9978 0.9939 0.9868 0.9757 0.9602 0.9398 0.9147 0.8850 0.6841 0.4551 0.2631 0.1332 0.0591 0.0230 0.0077 0.00224 1.0000 0.9998 0.9993 0.9980 0.9956 0.9915 0.9853 0.9765 0.9648 0.8556 0.6733 0.4654 0.2822 0.1500 0.0696 0.0280 0.00965 1.0000 0.9999 0.9998 0.9994 0.9986 0.9971 0.9949 0.9914 0.9463 0.8369 0.6678 0.4739 0.2968 0.1629 0.0777 0.03186 1.0000 1.0000 0.9999 0.9998 0.9996 0.9991 0.9983 0.9837 0.9324 0.8251 0.6655 0.4812 0.3081 0.1727 0.08357 1.0000 1.0000 0.9999 0.9999 0.9997 0.9959 0.9767 0.9225 0.8180 0.6656 0.4878 0.3169 0.17968 1.0000 1.0000 1.0000 0.9992 0.9933 0.9713 0.9161 0.8145 0.6675 0.4940 0.32389 0.9999 0.9984 0.9911 0.9674 0.9125 0.8139 0.6710 0.500010 1.0000 0.9997 0.9977 0.9895 0.9653 0.9115 0.8159 0.676211 1.0000 0.9995 0.9972 0.9886 0.9648 0.9129 0.820412 0.9999 0.9994 0.9969 0.9884 0.9658 0.916513 1.0000 0.9999 0.9993 0.9969 0.9891 0.968214 1.0000 0.9999 0.9994 0.9972 0.990415 1.0000 0.9999 0.9995 0.997816 1.0000 0.9999 0.999617 1.0000 1.0000
20 0 0.8179 0.6676 0.5438 0.4420 0.3585 0.2901 0.2342 0.1887 0.1516 0.1216 0.0388 0.0115 0.0032 0.0008 0.0002 0.0000 0.0000 0.00001 0.9831 0.9401 0.8802 0.8103 0.7358 0.6605 0.5869 0.5169 0.4516 0.3917 0.1756 0.0692 0.0243 0.0076 0.0021 0.0005 0.0001 0.00002 0.9990 0.9929 0.9790 0.9561 0.9245 0.8850 0.8390 0.7879 0.7334 0.6769 0.4049 0.2061 0.0913 0.0355 0.0121 0.0036 0.0009 0.00023 1.0000 0.9994 0.9973 0.9926 0.9841 0.9710 0.9529 0.9294 0.9007 0.8670 0.6477 0.4114 0.2252 0.1071 0.0444 0.0160 0.0049 0.00134 1.0000 0.9997 0.9990 0.9974 0.9944 0.9893 0.9817 0.9710 0.9568 0.8298 0.6296 0.4148 0.2375 0.1182 0.0510 0.0189 0.00595 1.0000 0.9999 0.9997 0.9991 0.9981 0.9962 0.9932 0.9887 0.9327 0.8042 0.6172 0.4164 0.2454 0.1256 0.0553 0.02076 1.0000 1.0000 0.9999 0.9997 0.9994 0.9987 0.9976 0.9781 0.9133 0.7858 0.6080 0.4166 0.2500 0.1299 0.05777 1.0000 1.0000 0.9999 0.9998 0.9996 0.9941 0.9679 0.8982 0.7723 0.6010 0.4159 0.2520 0.13168 1.0000 1.0000 0.9999 0.9987 0.9900 0.9591 0.8867 0.7624 0.5956 0.4143 0.25179 1.0000 0.9998 0.9974 0.9861 0.9520 0.8782 0.7553 0.5914 0.411910 1.0000 0.9994 0.9961 0.9829 0.9468 0.8725 0.7507 0.588111 0.9999 0.9991 0.9949 0.9804 0.9435 0.8692 0.748312 1.0000 0.9998 0.9987 0.9940 0.9790 0.9420 0.868413 1.0000 0.9997 0.9985 0.9935 0.9786 0.942314 1.0000 0.9997 0.9984 0.9936 0.979315 1.0000 0.9997 0.9985 0.994116 1.0000 0.9997 0.998717 1.0000 0.999818 1.0000
3
Tabela 2: Funcao de distribuicao de Poisson
FX(x) =x∑
k=0
e−λλk
k!
λ x 0 1 2 3 4 5 6 7 8 9
0.01 0.9900 1.00000.02 0.9802 0.9998 1.00000.03 0.9704 0.9996 1.00000.04 0.9608 0.9992 1.00000.05 0.9512 0.9988 1.0000
0.06 0.9418 0.9983 1.00000.07 0.9324 0.9977 0.9999 1.00000.08 0.9231 0.9970 0.9999 1.00000.09 0.9139 0.9962 0.9999 1.00000.10 0.9048 0.9953 0.9998 1.0000
0.15 0.8607 0.9898 0.9995 1.00000.20 0.8187 0.9825 0.9989 0.9999 1.00000.25 0.7788 0.9735 0.9978 0.9999 1.00000.30 0.7408 0.9631 0.9964 0.9997 1.00000.35 0.7047 0.9513 0.9945 0.9995 1.00000.40 0.6703 0.9384 0.9921 0.9992 0.9999 1.00000.45 0.6376 0.9246 0.9891 0.9988 0.9999 1.0000
0.50 0.6065 0.9098 0.9856 0.9982 0.9998 1.00000.55 0.5769 0.8943 0.9815 0.9975 0.9997 1.00000.60 0.5488 0.8781 0.9769 0.9966 0.9996 1.00000.65 0.5220 0.8614 0.9717 0.9956 0.9994 0.9999 1.00000.70 0.4966 0.8442 0.9659 0.9942 0.9992 0.9999 1.00000.75 0.4724 0.8266 0.9595 0.9927 0.9989 0.9999 1.00000.80 0.4493 0.8088 0.9526 0.9909 0.9986 0.9998 1.00000.85 0.4274 0.7907 0.9451 0.9889 0.9982 0.9997 1.00000.90 0.4066 0.7725 0.9371 0.9865 0.9977 0.9997 1.00000.95 0.3867 0.7541 0.9287 0.9839 0.9971 0.9995 0.9999 1.0000
1.00 0.3679 0.7358 0.9197 0.9810 0.9963 0.9994 0.9999 1.00001.10 0.3329 0.6990 0.9004 0.9743 0.9946 0.9990 0.9999 1.00001.20 0.3012 0.6626 0.8795 0.9662 0.9923 0.9985 0.9997 1.00001.30 0.2725 0.6268 0.8571 0.9569 0.9893 0.9978 0.9996 0.9999 1.00001.40 0.2466 0.5918 0.8335 0.9463 0.9857 0.9968 0.9994 0.9999 1.00001.50 0.2231 0.5578 0.8088 0.9344 0.9814 0.9955 0.9991 0.9998 1.00001.60 0.2019 0.5249 0.7834 0.9212 0.9763 0.9940 0.9987 0.9997 1.00001.70 0.1827 0.4932 0.7572 0.9068 0.9704 0.9920 0.9981 0.9996 0.9999 1.00001.80 0.1653 0.4628 0.7306 0.8913 0.9636 0.9896 0.9974 0.9994 0.9999 1.00001.90 0.1496 0.4337 0.7037 0.8747 0.9559 0.9868 0.9966 0.9992 0.9998 1.0000
2.00 0 0.1353 0.4060 0.6767 0.8571 0.9473 0.9834 0.9955 0.9989 0.9998 1.00002.20 0 0.1108 0.3546 0.6227 0.8194 0.9275 0.9751 0.9925 0.9980 0.9995 0.9999
10 1.00002.40 0 0.0907 0.3084 0.5697 0.7787 0.9041 0.9643 0.9884 0.9967 0.9991 0.9998
10 1.00002.60 0 0.0743 0.2674 0.5184 0.7360 0.8774 0.9510 0.9828 0.9947 0.9985 0.9996
10 0.9999 1.00002.80 0 0.0608 0.2311 0.4695 0.6919 0.8477 0.9349 0.9756 0.9919 0.9976 0.9993
10 0.9998 1.0000
3.00 0 0.0498 0.1991 0.4232 0.6472 0.8153 0.9161 0.9665 0.9881 0.9962 0.998910 0.9997 0.9999 1.0000
3.20 0 0.0408 0.1712 0.3799 0.6025 0.7806 0.8946 0.9554 0.9832 0.9943 0.998210 0.9995 0.9999 1.0000
3.40 0 0.0334 0.1468 0.3397 0.5584 0.7442 0.8705 0.9421 0.9769 0.9917 0.997310 0.9992 0.9998 0.9999 1.0000
3.60 0 0.0273 0.1257 0.3027 0.5152 0.7064 0.8441 0.9267 0.9692 0.9883 0.996010 0.9987 0.9996 0.9999 1.0000
3.80 0 0.0224 0.1074 0.2689 0.4735 0.6678 0.8156 0.9091 0.9599 0.9840 0.994210 0.9981 0.9994 0.9998 1.0000
4.00 0 0.0183 0.0916 0.2381 0.4335 0.6288 0.7851 0.8893 0.9489 0.9786 0.991910 0.9972 0.9991 0.9997 0.9999 1.0000
4.20 0 0.0150 0.0780 0.2102 0.3954 0.5898 0.7531 0.8675 0.9361 0.9721 0.988910 0.9959 0.9986 0.9996 0.9999 1.0000
4.40 0 0.0123 0.0663 0.1851 0.3594 0.5512 0.7199 0.8436 0.9214 0.9642 0.985110 0.9943 0.9980 0.9993 0.9998 0.9999 1.0000
4.60 0 0.0101 0.0563 0.1626 0.3257 0.5132 0.6858 0.8180 0.9049 0.9549 0.980510 0.9922 0.9971 0.9990 0.9997 0.9999 1.0000
4.80 0 0.0082 0.0477 0.1425 0.2942 0.4763 0.6510 0.7908 0.8867 0.9442 0.974910 0.9896 0.9960 0.9986 0.9995 0.9999 1.0000
5.00 0 0.0067 0.0404 0.1247 0.2650 0.4405 0.6160 0.7622 0.8666 0.9319 0.968210 0.9863 0.9945 0.9980 0.9993 0.9998 0.9999 1.0000
5.20 0 0.0055 0.0342 0.1088 0.2381 0.4061 0.5809 0.7324 0.8449 0.9181 0.960310 0.9823 0.9927 0.9972 0.9990 0.9997 0.9999 1.0000
5.40 0 0.0045 0.0289 0.0948 0.2133 0.3733 0.5461 0.7017 0.8217 0.9027 0.951210 0.9775 0.9904 0.9962 0.9986 0.9995 0.9998 0.9999 1.0000
5.60 0 0.0037 0.0244 0.0824 0.1906 0.3422 0.5119 0.6703 0.7970 0.8857 0.940910 0.9718 0.9875 0.9949 0.9980 0.9993 0.9998 0.9999 1.0000
5.80 0 0.0030 0.0206 0.0715 0.1700 0.3127 0.4783 0.6384 0.7710 0.8672 0.929210 0.9651 0.9841 0.9932 0.9973 0.9990 0.9996 0.9999 1.0000
4
λ x 0 1 2 3 4 5 6 7 8 9
6.00 0 0.0025 0.0174 0.0620 0.1512 0.2851 0.4457 0.6063 0.7440 0.8472 0.916110 0.9574 0.9799 0.9912 0.9964 0.9986 0.9995 0.9998 0.9999 1.0000
6.20 0 0.0020 0.0146 0.0536 0.1342 0.2592 0.4141 0.5742 0.7160 0.8259 0.901610 0.9486 0.9750 0.9887 0.9952 0.9981 0.9993 0.9997 0.9999 1.0000
6.40 0 0.0017 0.0123 0.0463 0.1189 0.2351 0.3837 0.5423 0.6873 0.8033 0.885810 0.9386 0.9693 0.9857 0.9937 0.9974 0.9990 0.9996 0.9999 1.0000
6.60 0 0.0014 0.0103 0.0400 0.1052 0.2127 0.3547 0.5108 0.6581 0.7796 0.868610 0.9274 0.9627 0.9821 0.9920 0.9966 0.9986 0.9995 0.9998 0.9999 1.0000
6.80 0 0.0011 0.0087 0.0344 0.0928 0.1920 0.3270 0.4799 0.6285 0.7548 0.850210 0.9151 0.9552 0.9779 0.9898 0.9956 0.9982 0.9993 0.9997 0.9999 1.0000
7.00 0 0.0009 0.0073 0.0296 0.0818 0.1730 0.3007 0.4497 0.5987 0.7291 0.830510 0.9015 0.9467 0.9730 0.9872 0.9943 0.9976 0.9990 0.9996 0.9999 1.0000
7.20 0 0.0007 0.0061 0.0255 0.0719 0.1555 0.2759 0.4204 0.5689 0.7027 0.809610 0.8867 0.9371 0.9673 0.9841 0.9927 0.9969 0.9987 0.9995 0.9998 0.999920 1.0000
7.40 0 0.0006 0.0051 0.0219 0.0632 0.1395 0.2526 0.3920 0.5393 0.6757 0.787710 0.8707 0.9265 0.9609 0.9805 0.9908 0.9959 0.9983 0.9993 0.9997 0.999920 1.0000
7.60 0 0.0005 0.0043 0.0188 0.0554 0.1249 0.2307 0.3646 0.5100 0.6482 0.764910 0.8535 0.9148 0.9536 0.9762 0.9886 0.9948 0.9978 0.9991 0.9996 0.999920 1.0000
7.80 0 0.0004 0.0036 0.0161 0.0485 0.1117 0.2103 0.3384 0.4812 0.6204 0.741110 0.8352 0.9020 0.9454 0.9714 0.9859 0.9934 0.9971 0.9988 0.9995 0.999820 0.9999 1.0000
8.00 0 0.0003 0.0030 0.0138 0.0424 0.0996 0.1912 0.3134 0.4530 0.5925 0.716610 0.8159 0.8881 0.9362 0.9658 0.9827 0.9918 0.9963 0.9984 0.9993 0.999720 0.9999 1.0000
8.20 0 0.0003 0.0025 0.0118 0.0370 0.0887 0.1736 0.2896 0.4254 0.5647 0.691510 0.7955 0.8731 0.9261 0.9595 0.9791 0.9898 0.9953 0.9979 0.9991 0.999720 0.9999 1.0000
8.40 0 0.0002 0.0021 0.0100 0.0323 0.0789 0.1573 0.2670 0.3987 0.5369 0.665910 0.7743 0.8571 0.9150 0.9524 0.9749 0.9875 0.9941 0.9973 0.9989 0.999520 0.9998 0.9999 1.0000
8.60 0 0.0002 0.0018 0.0086 0.0281 0.0701 0.1422 0.2457 0.3728 0.5094 0.640010 0.7522 0.8400 0.9029 0.9445 0.9701 0.9848 0.9926 0.9966 0.9985 0.999420 0.9998 0.9999 1.0000
8.80 0 0.0002 0.0015 0.0073 0.0244 0.0621 0.1284 0.2256 0.3478 0.4823 0.613710 0.7294 0.8220 0.8898 0.9358 0.9647 0.9816 0.9909 0.9957 0.9981 0.999220 0.9997 0.9999 1.0000
9.00 0 0.0001 0.0012 0.0062 0.0212 0.0550 0.1157 0.2068 0.3239 0.4557 0.587410 0.7060 0.8030 0.8758 0.9261 0.9585 0.9780 0.9889 0.9947 0.9976 0.998920 0.9996 0.9998 0.9999 1.0000
9.20 0 0.0001 0.0010 0.0053 0.0184 0.0486 0.1041 0.1892 0.3010 0.4296 0.561110 0.6820 0.7832 0.8607 0.9156 0.9517 0.9738 0.9865 0.9934 0.9969 0.998620 0.9994 0.9998 0.9999 1.0000
9.40 0 0.0001 0.0009 0.0045 0.0160 0.0429 0.0935 0.1727 0.2792 0.4042 0.534910 0.6576 0.7626 0.8448 0.9042 0.9441 0.9691 0.9838 0.9919 0.9962 0.998320 0.9992 0.9997 0.9999 1.0000
9.60 0 0.0001 0.0007 0.0038 0.0138 0.0378 0.0838 0.1574 0.2584 0.3796 0.508910 0.6329 0.7412 0.8279 0.8919 0.9357 0.9638 0.9806 0.9902 0.9952 0.997820 0.9990 0.9996 0.9998 0.9999 1.0000
9.80 0 0.0001 0.0006 0.0033 0.0120 0.0333 0.0750 0.1433 0.2388 0.3558 0.483210 0.6080 0.7193 0.8101 0.8786 0.9265 0.9579 0.9770 0.9881 0.9941 0.997220 0.9987 0.9995 0.9998 0.9999 1.0000
10.00 0 0.0000 0.0005 0.0028 0.0103 0.0293 0.0671 0.1301 0.2202 0.3328 0.457910 0.5830 0.6968 0.7916 0.8645 0.9165 0.9513 0.9730 0.9857 0.9928 0.996520 0.9984 0.9993 0.9997 0.9999 1.0000
10.50 0 0.0000 0.0003 0.0018 0.0071 0.0211 0.0504 0.1016 0.1785 0.2794 0.397110 0.5207 0.6387 0.7420 0.8253 0.8879 0.9317 0.9604 0.9781 0.9885 0.994220 0.9972 0.9987 0.9994 0.9998 0.9999 1.0000
11.00 0 0.0000 0.0002 0.0012 0.0049 0.0151 0.0375 0.0786 0.1432 0.2320 0.340510 0.4599 0.5793 0.6887 0.7813 0.8540 0.9074 0.9441 0.9678 0.9823 0.990720 0.9953 0.9977 0.9990 0.9995 0.9998 0.9999 1.0000
11.50 0 0.0000 0.0001 0.0008 0.0034 0.0107 0.0277 0.0603 0.1137 0.1906 0.288810 0.4017 0.5198 0.6329 0.7330 0.8153 0.8783 0.9236 0.9542 0.9738 0.985720 0.9925 0.9962 0.9982 0.9992 0.9996 0.9998 0.9999 1.0000
12.00 0 0.0000 0.0001 0.0005 0.0023 0.0076 0.0203 0.0458 0.0895 0.1550 0.242410 0.3472 0.4616 0.5760 0.6815 0.7720 0.8444 0.8987 0.9370 0.9626 0.978720 0.9884 0.9939 0.9970 0.9985 0.9993 0.9997 0.9999 0.9999 1.0000
12.50 0 0.0000 0.0001 0.0003 0.0016 0.0053 0.0148 0.0346 0.0698 0.1249 0.201410 0.2971 0.4058 0.5190 0.6278 0.7250 0.8060 0.8693 0.9158 0.9481 0.969420 0.9827 0.9906 0.9951 0.9975 0.9988 0.9994 0.9997 0.9999 1.0000
13.00 0 0.0000 0.0000 0.0002 0.0011 0.0037 0.0107 0.0259 0.0540 0.0998 0.165810 0.2517 0.3532 0.4631 0.5730 0.6751 0.7636 0.8355 0.8905 0.9302 0.957320 0.9750 0.9859 0.9924 0.9960 0.9980 0.9990 0.9995 0.9998 0.9999 1.0000
13.50 0 0.0000 0.0000 0.0001 0.0007 0.0026 0.0077 0.0193 0.0415 0.0790 0.135310 0.2112 0.3045 0.4093 0.5182 0.6233 0.7178 0.7975 0.8609 0.9084 0.942120 0.9649 0.9796 0.9885 0.9938 0.9968 0.9984 0.9992 0.9996 0.9998 0.999930 1.0000
5
λ x 0 1 2 3 4 5 6 7 8 9
14.00 0 0.0000 0.0000 0.0001 0.0005 0.0018 0.0055 0.0142 0.0316 0.0621 0.109410 0.1757 0.2600 0.3585 0.4644 0.5704 0.6694 0.7559 0.8272 0.8826 0.923520 0.9521 0.9712 0.9833 0.9907 0.9950 0.9974 0.9987 0.9994 0.9997 0.999930 0.9999 1.0000
14.50 0 0.0000 0.0000 0.0001 0.0003 0.0012 0.0039 0.0105 0.0239 0.0484 0.087810 0.1449 0.2201 0.3111 0.4125 0.5176 0.6192 0.7112 0.7897 0.8530 0.901220 0.9362 0.9604 0.9763 0.9863 0.9924 0.9959 0.9979 0.9989 0.9995 0.999830 0.9999 1.0000
15.00 0 0.0000 0.0000 0.0000 0.0002 0.0009 0.0028 0.0076 0.0180 0.0374 0.069910 0.1185 0.1848 0.2676 0.3632 0.4657 0.5681 0.6641 0.7489 0.8195 0.875220 0.9170 0.9469 0.9673 0.9805 0.9888 0.9938 0.9967 0.9983 0.9991 0.999630 0.9998 0.9999 1.0000
16.00 0 0.0000 0.0000 0.0000 0.0001 0.0004 0.0014 0.0040 0.0100 0.0220 0.043310 0.0774 0.1270 0.1931 0.2745 0.3675 0.4667 0.5660 0.6593 0.7423 0.812220 0.8682 0.9108 0.9418 0.9633 0.9777 0.9869 0.9925 0.9959 0.9978 0.998930 0.9994 0.9997 0.9999 0.9999 1.0000
17.00 0 0.0000 0.0000 0.0000 0.0000 0.0002 0.0007 0.0021 0.0054 0.0126 0.026110 0.0491 0.0847 0.1350 0.2009 0.2808 0.3715 0.4677 0.5640 0.6550 0.736320 0.8055 0.8615 0.9047 0.9367 0.9594 0.9748 0.9848 0.9912 0.9950 0.997330 0.9986 0.9993 0.9996 0.9998 0.9999 1.0000
18.00 0 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.0010 0.0029 0.0071 0.015410 0.0304 0.0549 0.0917 0.1426 0.2081 0.2867 0.3751 0.4686 0.5622 0.650920 0.7307 0.7991 0.8551 0.8989 0.9317 0.9554 0.9718 0.9827 0.9897 0.994130 0.9967 0.9982 0.9990 0.9995 0.9998 0.9999 0.9999 1.0000
19.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.0005 0.0015 0.0039 0.008910 0.0183 0.0347 0.0606 0.0984 0.1497 0.2148 0.2920 0.3784 0.4695 0.560620 0.6472 0.7255 0.7931 0.8490 0.8933 0.9269 0.9514 0.9687 0.9805 0.988230 0.9930 0.9960 0.9978 0.9988 0.9994 0.9997 0.9998 0.9999 1.0000
20.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.0008 0.0021 0.005010 0.0108 0.0214 0.0390 0.0661 0.1049 0.1565 0.2211 0.2970 0.3814 0.470320 0.5591 0.6437 0.7206 0.7875 0.8432 0.8878 0.9221 0.9475 0.9657 0.978230 0.9865 0.9919 0.9953 0.9973 0.9985 0.9992 0.9996 0.9998 0.9999 0.999940 1.0000
21.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0004 0.0011 0.002810 0.0063 0.0129 0.0245 0.0434 0.0716 0.1111 0.1629 0.2270 0.3017 0.384320 0.4710 0.5577 0.6405 0.7160 0.7822 0.8377 0.8826 0.9175 0.9436 0.962630 0.9758 0.9848 0.9907 0.9945 0.9968 0.9982 0.9990 0.9995 0.9997 0.999940 0.9999 1.0000
22.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0002 0.0006 0.001510 0.0035 0.0076 0.0151 0.0278 0.0477 0.0769 0.1170 0.1690 0.2325 0.306020 0.3869 0.4716 0.5564 0.6374 0.7117 0.7771 0.8324 0.8775 0.9129 0.939830 0.9595 0.9735 0.9831 0.9895 0.9936 0.9962 0.9978 0.9988 0.9993 0.999640 0.9998 0.9999 1.0000
23.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.000810 0.0020 0.0044 0.0091 0.0174 0.0311 0.0520 0.0821 0.1228 0.1748 0.237720 0.3101 0.3894 0.4723 0.5551 0.6346 0.7077 0.7723 0.8274 0.8726 0.908530 0.9360 0.9564 0.9711 0.9813 0.9882 0.9927 0.9956 0.9974 0.9985 0.999240 0.9996 0.9998 0.9999 0.9999 1.0000
24.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.000410 0.0011 0.0025 0.0054 0.0107 0.0198 0.0344 0.0563 0.0871 0.1283 0.180320 0.2426 0.3139 0.3917 0.4728 0.5540 0.6319 0.7038 0.7677 0.8225 0.867930 0.9042 0.9322 0.9533 0.9686 0.9794 0.9868 0.9918 0.9950 0.9970 0.998340 0.9990 0.9995 0.9997 0.9998 0.9999 1.0000
25.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.000210 0.0006 0.0014 0.0031 0.0065 0.0124 0.0223 0.0377 0.0605 0.0920 0.133620 0.1855 0.2473 0.3175 0.3939 0.4734 0.5529 0.6294 0.7002 0.7634 0.817930 0.8633 0.8999 0.9285 0.9502 0.9662 0.9775 0.9854 0.9908 0.9943 0.996640 0.9980 0.9988 0.9993 0.9996 0.9998 0.9999 0.9999 1.0000
30.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.000010 0.0000 0.0001 0.0002 0.0004 0.0009 0.0019 0.0039 0.0073 0.0129 0.021920 0.0353 0.0544 0.0806 0.1146 0.1572 0.2084 0.2673 0.3329 0.4031 0.475730 0.5484 0.6186 0.6845 0.7444 0.7973 0.8426 0.8804 0.9110 0.9352 0.953740 0.9677 0.9779 0.9852 0.9903 0.9937 0.9960 0.9975 0.9985 0.9991 0.999550 0.9997 0.9998 0.9999 0.9999 1.0000
35.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.000010 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.0006 0.0012 0.002320 0.0043 0.0076 0.0128 0.0208 0.0324 0.0486 0.0705 0.0988 0.1343 0.177030 0.2269 0.2833 0.3449 0.4102 0.4775 0.5448 0.6102 0.6721 0.7291 0.780240 0.8249 0.8631 0.8950 0.9209 0.9415 0.9575 0.9697 0.9788 0.9854 0.990250 0.9935 0.9957 0.9973 0.9983 0.9989 0.9993 0.9996 0.9998 0.9999 0.999960 1.0000
40.00 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.000010 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.000220 0.0004 0.0007 0.0014 0.0026 0.0045 0.0076 0.0123 0.0193 0.0294 0.043230 0.0617 0.0855 0.1153 0.1514 0.1939 0.2424 0.2963 0.3547 0.4160 0.479040 0.5419 0.6033 0.6618 0.7162 0.7657 0.8097 0.8479 0.8804 0.9075 0.929750 0.9474 0.9613 0.9719 0.9800 0.9860 0.9903 0.9934 0.9956 0.9971 0.998160 0.9988 0.9992 0.9995 0.9997 0.9998 0.9999 0.9999 1.0000
6
Tabela 3: Funcao de distribuicao Normal reduzida: Z ∼ N(0, 1)
Φ(z) =∫ z
−∞
1√2 π
e−12 t2dt
0 z
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.53590.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.57530.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.61410.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.65170.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.72240.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.75490.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.78520.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.81330.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.86211.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.88301.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.90151.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.91771.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.94411.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.95451.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.96331.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.97061.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.98172.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.98572.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.98902.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.99162.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.99522.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.99642.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.99742.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.99812.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986
3.0 0.998650 0.998694 0.998736 0.998777 0.998817 0.998856 0.998893 0.998930 0.998965 0.9989993.1 0.999032 0.999064 0.999096 0.999126 0.999155 0.999184 0.999211 0.999238 0.999264 0.9992893.2 0.999313 0.999336 0.999359 0.999381 0.999402 0.999423 0.999443 0.999462 0.999481 0.9994993.3 0.999517 0.999533 0.999550 0.999566 0.999581 0.999596 0.999610 0.999624 0.999638 0.9996503.4 0.999663 0.999675 0.999687 0.999698 0.999709 0.999720 0.999730 0.999740 0.999749 0.999758
3.5 0.999767 0.999776 0.999784 0.999792 0.999800 0.999807 0.999815 0.999821 0.999828 0.9998353.6 0.999841 0.999847 0.999853 0.999858 0.999864 0.999869 0.999874 0.999879 0.999883 0.9998883.7 0.999892 0.999896 0.999900 0.999904 0.999908 0.999912 0.999915 0.999918 0.999922 0.9999253.8 0.999928 0.999930 0.999933 0.999936 0.999938 0.999941 0.999943 0.999946 0.999948 0.9999503.9 0.999952 0.999954 0.999956 0.999958 0.999959 0.999961 0.999963 0.999964 0.999966 0.9999674.0 0.999968 0.999970 0.999971 0.999972 0.999973 0.999974 0.999975 0.999976 0.999977 0.999978
7
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000-3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001-3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001-3.6 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001-3.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014-2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183
-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559
-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.42470.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
8
Tabela 4: Quantis da funcao de distribuicao Z ∼ N(0, 1)
zp = Φ−1(p) = Φ−1(1− q)p
q
0 zp
q 0.000 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010
0.00 ∞ 3.0902 2.8782 2.7478 2.6521 2.5758 2.5121 2.4573 2.4089 2.3656 2.3263 0.990.01 2.3263 2.2904 2.2571 2.2262 2.1973 2.1701 2.1444 2.1201 2.0969 2.0748 2.0537 0.980.02 2.0537 2.0335 2.0141 1.9954 1.9774 1.9600 1.9431 1.9268 1.9110 1.8957 1.8808 0.970.03 1.8808 1.8663 1.8522 1.8384 1.8250 1.8119 1.7991 1.7866 1.7744 1.7624 1.7507 0.960.04 1.7507 1.7392 1.7279 1.7169 1.7060 1.6954 1.6849 1.6747 1.6646 1.6546 1.6449 0.950.05 1.6449 1.6352 1.6258 1.6164 1.6072 1.5982 1.5893 1.5805 1.5718 1.5632 1.5548 0.940.06 1.5548 1.5464 1.5382 1.5301 1.5220 1.5141 1.5063 1.4985 1.4909 1.4833 1.4758 0.930.07 1.4758 1.4684 1.4611 1.4538 1.4466 1.4395 1.4325 1.4255 1.4187 1.4118 1.4051 0.920.08 1.4051 1.3984 1.3917 1.3852 1.3787 1.3722 1.3658 1.3595 1.3532 1.3469 1.3408 0.910.09 1.3408 1.3346 1.3285 1.3225 1.3165 1.3106 1.3047 1.2988 1.2930 1.2873 1.2816 0.90
0.10 1.2816 1.2759 1.2702 1.2646 1.2591 1.2536 1.2481 1.2426 1.2372 1.2319 1.2265 0.890.11 1.2265 1.2212 1.2160 1.2107 1.2055 1.2004 1.1952 1.1901 1.1850 1.1800 1.1750 0.880.12 1.1750 1.1700 1.1650 1.1601 1.1552 1.1503 1.1455 1.1407 1.1359 1.1311 1.1264 0.870.13 1.1264 1.1217 1.1170 1.1123 1.1077 1.1031 1.0985 1.0939 1.0893 1.0848 1.0803 0.860.14 1.0803 1.0758 1.0714 1.0669 1.0625 1.0581 1.0537 1.0494 1.0451 1.0407 1.0364 0.850.15 1.0364 1.0322 1.0279 1.0237 1.0194 1.0152 1.0110 1.0069 1.0027 0.9986 0.9945 0.840.16 0.9945 0.9904 0.9863 0.9822 0.9782 0.9741 0.9701 0.9661 0.9621 0.9581 0.9542 0.830.17 0.9542 0.9502 0.9463 0.9424 0.9385 0.9346 0.9307 0.9269 0.9230 0.9192 0.9154 0.820.18 0.9154 0.9116 0.9078 0.9040 0.9002 0.8965 0.8927 0.8890 0.8853 0.8816 0.8779 0.810.19 0.8779 0.8742 0.8706 0.8669 0.8632 0.8596 0.8560 0.8524 0.8488 0.8452 0.8416 0.80
0.20 0.8416 0.8381 0.8345 0.8310 0.8274 0.8239 0.8204 0.8169 0.8134 0.8099 0.8064 0.790.21 0.8064 0.8030 0.7995 0.7961 0.7926 0.7892 0.7858 0.7824 0.7790 0.7756 0.7722 0.780.22 0.7722 0.7688 0.7655 0.7621 0.7588 0.7554 0.7521 0.7488 0.7454 0.7421 0.7388 0.770.23 0.7388 0.7356 0.7323 0.7290 0.7257 0.7225 0.7192 0.7160 0.7128 0.7095 0.7063 0.760.24 0.7063 0.7031 0.6999 0.6967 0.6935 0.6903 0.6871 0.6840 0.6808 0.6776 0.6745 0.750.25 0.6745 0.6713 0.6682 0.6651 0.6620 0.6588 0.6557 0.6526 0.6495 0.6464 0.6433 0.740.26 0.6433 0.6403 0.6372 0.6341 0.6311 0.6280 0.6250 0.6219 0.6189 0.6158 0.6128 0.730.27 0.6128 0.6098 0.6068 0.6038 0.6008 0.5978 0.5948 0.5918 0.5888 0.5858 0.5828 0.720.28 0.5828 0.5799 0.5769 0.5740 0.5710 0.5681 0.5651 0.5622 0.5592 0.5563 0.5534 0.710.29 0.5534 0.5505 0.5476 0.5446 0.5417 0.5388 0.5359 0.5330 0.5302 0.5273 0.5244 0.70
0.30 0.5244 0.5215 0.5187 0.5158 0.5129 0.5101 0.5072 0.5044 0.5015 0.4987 0.4958 0.690.31 0.4958 0.4930 0.4902 0.4874 0.4845 0.4817 0.4789 0.4761 0.4733 0.4705 0.4677 0.680.32 0.4677 0.4649 0.4621 0.4593 0.4565 0.4538 0.4510 0.4482 0.4454 0.4427 0.4399 0.670.33 0.4399 0.4372 0.4344 0.4316 0.4289 0.4261 0.4234 0.4207 0.4179 0.4152 0.4125 0.660.34 0.4125 0.4097 0.4070 0.4043 0.4016 0.3989 0.3961 0.3934 0.3907 0.3880 0.3853 0.650.35 0.3853 0.3826 0.3799 0.3772 0.3745 0.3719 0.3692 0.3665 0.3638 0.3611 0.3585 0.640.36 0.3585 0.3558 0.3531 0.3505 0.3478 0.3451 0.3425 0.3398 0.3372 0.3345 0.3319 0.630.37 0.3319 0.3292 0.3266 0.3239 0.3213 0.3186 0.3160 0.3134 0.3107 0.3081 0.3055 0.620.38 0.3055 0.3029 0.3002 0.2976 0.2950 0.2924 0.2898 0.2871 0.2845 0.2819 0.2793 0.610.39 0.2793 0.2767 0.2741 0.2715 0.2689 0.2663 0.2637 0.2611 0.2585 0.2559 0.2533 0.60
0.40 0.2533 0.2508 0.2482 0.2456 0.2430 0.2404 0.2378 0.2353 0.2327 0.2301 0.2275 0.590.41 0.2275 0.2250 0.2224 0.2198 0.2173 0.2147 0.2121 0.2096 0.2070 0.2045 0.2019 0.580.42 0.2019 0.1993 0.1968 0.1942 0.1917 0.1891 0.1866 0.1840 0.1815 0.1789 0.1764 0.570.43 0.1764 0.1738 0.1713 0.1687 0.1662 0.1637 0.1611 0.1586 0.1560 0.1535 0.1510 0.560.44 0.1510 0.1484 0.1459 0.1434 0.1408 0.1383 0.1358 0.1332 0.1307 0.1282 0.1257 0.550.45 0.1257 0.1231 0.1206 0.1181 0.1156 0.1130 0.1105 0.1080 0.1055 0.1030 0.1004 0.540.46 0.1004 0.0979 0.0954 0.0929 0.0904 0.0878 0.0853 0.0828 0.0803 0.0778 0.0753 0.530.47 0.0753 0.0728 0.0702 0.0677 0.0652 0.0627 0.0602 0.0577 0.0552 0.0527 0.0502 0.520.48 0.0502 0.0476 0.0451 0.0426 0.0401 0.0376 0.0351 0.0326 0.0301 0.0276 0.0251 0.510.49 0.0251 0.0226 0.0201 0.0175 0.0150 0.0125 0.0100 0.0075 0.0050 0.0025 0.0000 0.50
0.010 0.009 0.008 0.007 0.006 0.005 0.004 0.003 0.002 0.001 0.000 p
9
Tabela 5: Quantis da funcao de distribuicao t-Student X ∼ t(n) : xp = F−1X (p)
p
0 xp
n \ p 0.6 0.7 0.75 0.8 0.85 0.9 0.925 0.95 0.975 0.99 0.995 0.999 0.9995
1 0.325 0.727 1.000 1.376 1.963 3.078 4.165 6.314 12.706 31.821 63.656 318.289 636.5782 0.289 0.617 0.816 1.061 1.386 1.886 2.282 2.920 4.303 6.965 9.925 22.328 31.6003 0.277 0.584 0.765 0.978 1.250 1.638 1.924 2.353 3.182 4.541 5.841 10.214 12.9244 0.271 0.569 0.741 0.941 1.190 1.533 1.778 2.132 2.776 3.747 4.604 7.173 8.6105 0.267 0.559 0.727 0.920 1.156 1.476 1.699 2.015 2.571 3.365 4.032 5.894 6.869
6 0.265 0.553 0.718 0.906 1.134 1.440 1.650 1.943 2.447 3.143 3.707 5.208 5.9597 0.263 0.549 0.711 0.896 1.119 1.415 1.617 1.895 2.365 2.998 3.499 4.785 5.4088 0.262 0.546 0.706 0.889 1.108 1.397 1.592 1.860 2.306 2.896 3.355 4.501 5.0419 0.261 0.543 0.703 0.883 1.100 1.383 1.574 1.833 2.262 2.821 3.250 4.297 4.78110 0.260 0.542 0.700 0.879 1.093 1.372 1.559 1.812 2.228 2.764 3.169 4.144 4.587
11 0.260 0.540 0.697 0.876 1.088 1.363 1.548 1.796 2.201 2.718 3.106 4.025 4.43712 0.259 0.539 0.695 0.873 1.083 1.356 1.538 1.782 2.179 2.681 3.055 3.930 4.31813 0.259 0.538 0.694 0.870 1.079 1.350 1.530 1.771 2.160 2.650 3.012 3.852 4.22114 0.258 0.537 0.692 0.868 1.076 1.345 1.523 1.761 2.145 2.624 2.977 3.787 4.14015 0.258 0.536 0.691 0.866 1.074 1.341 1.517 1.753 2.131 2.602 2.947 3.733 4.073
16 0.258 0.535 0.690 0.865 1.071 1.337 1.512 1.746 2.120 2.583 2.921 3.686 4.01517 0.257 0.534 0.689 0.863 1.069 1.333 1.508 1.740 2.110 2.567 2.898 3.646 3.96518 0.257 0.534 0.688 0.862 1.067 1.330 1.504 1.734 2.101 2.552 2.878 3.610 3.92219 0.257 0.533 0.688 0.861 1.066 1.328 1.500 1.729 2.093 2.539 2.861 3.579 3.88320 0.257 0.533 0.687 0.860 1.064 1.325 1.497 1.725 2.086 2.528 2.845 3.552 3.850
21 0.257 0.532 0.686 0.859 1.063 1.323 1.494 1.721 2.080 2.518 2.831 3.527 3.81922 0.256 0.532 0.686 0.858 1.061 1.321 1.492 1.717 2.074 2.508 2.819 3.505 3.79223 0.256 0.532 0.685 0.858 1.060 1.319 1.489 1.714 2.069 2.500 2.807 3.485 3.76824 0.256 0.531 0.685 0.857 1.059 1.318 1.487 1.711 2.064 2.492 2.797 3.467 3.74525 0.256 0.531 0.684 0.856 1.058 1.316 1.485 1.708 2.060 2.485 2.787 3.450 3.725
26 0.256 0.531 0.684 0.856 1.058 1.315 1.483 1.706 2.056 2.479 2.779 3.435 3.70727 0.256 0.531 0.684 0.855 1.057 1.314 1.482 1.703 2.052 2.473 2.771 3.421 3.68928 0.256 0.530 0.683 0.855 1.056 1.313 1.480 1.701 2.048 2.467 2.763 3.408 3.67429 0.256 0.530 0.683 0.854 1.055 1.311 1.479 1.699 2.045 2.462 2.756 3.396 3.66030 0.256 0.530 0.683 0.854 1.055 1.310 1.477 1.697 2.042 2.457 2.750 3.385 3.646
40 0.255 0.529 0.681 0.851 1.050 1.303 1.468 1.684 2.021 2.423 2.704 3.307 3.55145 0.255 0.528 0.680 0.850 1.049 1.301 1.465 1.679 2.014 2.412 2.690 3.281 3.52050 0.255 0.528 0.679 0.849 1.047 1.299 1.462 1.676 2.009 2.403 2.678 3.261 3.49660 0.254 0.527 0.679 0.848 1.045 1.296 1.458 1.671 2.000 2.390 2.660 3.232 3.46070 0.254 0.527 0.678 0.847 1.044 1.294 1.456 1.667 1.994 2.381 2.648 3.211 3.435
80 0.254 0.526 0.678 0.846 1.043 1.292 1.453 1.664 1.990 2.374 2.639 3.195 3.41690 0.254 0.526 0.677 0.846 1.042 1.291 1.452 1.662 1.987 2.368 2.632 3.183 3.402100 0.254 0.526 0.677 0.845 1.042 1.290 1.451 1.660 1.984 2.364 2.626 3.174 3.390120 0.254 0.526 0.677 0.845 1.041 1.289 1.449 1.658 1.980 2.358 2.617 3.160 3.373150 0.254 0.526 0.676 0.844 1.040 1.287 1.447 1.655 1.976 2.351 2.609 3.145 3.357
∞ 0.253 0.524 0.675 0.842 1.036 1.282 1.440 1.645 1.960 2.327 2.576 3.091 3.291
10
Tabela 6: Quantis da funcao de distribuicao Qui-quadrado X ∼ χ2(n) : xp = F−1
X (p)
n\
p0.0
005
0.0
01
0.0
05
0.0
10.0
25
0.0
50.0
75
0.1
00.1
50.2
00.3
00.4
00.5
00.6
00.7
00.8
00.8
50.9
00.9
25
0.9
50
0.9
75
0.9
90
0.9
95
0.9
99
0.9
995
13.9
E-0
71.6
E-0
63.9
E-0
50.0
002
0.0
010
0.0
039
0.0
089
0.0
158
0.0
358
0.0
642
0.1
48
0.2
75
0.4
55
0.7
08
1.0
74
1.6
42
2.0
72
2.7
06
3.1
70
3.8
41
5.0
24
6.6
35
7.8
79
10.8
312.1
22
0.0
010
0.0
020
0.0
100
0.0
201
0.0
506
0.1
03
0.1
56
0.2
11
0.3
25
0.4
46
0.7
13
1.0
22
1.3
86
1.8
33
2.4
08
3.2
19
3.7
94
4.6
05
5.1
81
5.9
91
7.3
78
9.2
10
10.6
013.8
215.2
03
0.0
153
0.0
243
0.0
717
0.1
15
0.2
16
0.3
52
0.4
72
0.5
84
0.7
98
1.0
05
1.4
24
1.8
69
2.3
66
2.9
46
3.6
65
4.6
42
5.3
17
6.2
51
6.9
05
7.8
15
9.3
48
11.3
412.8
416.2
717.7
34
0.0
639
0.0
908
0.2
07
0.2
97
0.4
84
0.7
11
0.8
97
1.0
64
1.3
66
1.6
49
2.1
95
2.7
53
3.3
57
4.0
45
4.8
78
5.9
89
6.7
45
7.7
79
8.4
96
9.4
88
11.1
413.2
814.8
618.4
720.0
05
0.1
58
0.2
10
0.4
12
0.5
54
0.8
31
1.1
45
1.3
94
1.6
10
1.9
94
2.3
43
3.0
00
3.6
56
4.3
51
5.1
32
6.0
64
7.2
89
8.1
15
9.2
36
10.0
111.0
712.8
315.0
916.7
520.5
122.1
16
0.2
99
0.3
81
0.6
76
0.8
72
1.2
37
1.6
35
1.9
41
2.2
04
2.6
61
3.0
70
3.8
28
4.5
70
5.3
48
6.2
11
7.2
31
8.5
58
9.4
46
10.6
411.4
712.5
914.4
516.8
118.5
522.4
624.1
07
0.4
85
0.5
99
0.9
89
1.2
39
1.6
90
2.1
67
2.5
28
2.8
33
3.3
58
3.8
22
4.6
71
5.4
93
6.3
46
7.2
83
8.3
83
9.8
03
10.7
512.0
212.8
814.0
716.0
118.4
820.2
824.3
226.0
28
0.7
10
0.8
57
1.3
44
1.6
47
2.1
80
2.7
33
3.1
44
3.4
90
4.0
78
4.5
94
5.5
27
6.4
23
7.3
44
8.3
51
9.5
24
11.0
312.0
313.3
614.2
715.5
117.5
320.0
921.9
526.1
227.8
79
0.9
72
1.1
52
1.7
35
2.0
88
2.7
00
3.3
25
3.7
85
4.1
68
4.8
17
5.3
80
6.3
93
7.3
57
8.3
43
9.4
14
10.6
612.2
413.2
914.6
815.6
316.9
219.0
221.6
723.5
927.8
829.6
710
1.2
65
1.4
79
2.1
56
2.5
58
3.2
47
3.9
40
4.4
46
4.8
65
5.5
70
6.1
79
7.2
67
8.2
95
9.3
42
10.4
711.7
813.4
414.5
315.9
916.9
718.3
120.4
823.2
125.1
929.5
931.4
211
1.5
87
1.8
34
2.6
03
3.0
53
3.8
16
4.5
75
5.1
24
5.5
78
6.3
36
6.9
89
8.1
48
9.2
37
10.3
411.5
312.9
014.6
315.7
717.2
818.2
919.6
821.9
224.7
326.7
631.2
633.1
412
1.9
35
2.2
14
3.0
74
3.5
71
4.4
04
5.2
26
5.8
18
6.3
04
7.1
14
7.8
07
9.0
34
10.1
811.3
412.5
814.0
115.8
116.9
918.5
519.6
021.0
323.3
426.2
228.3
032.9
134.8
213
2.3
05
2.6
17
3.5
65
4.1
07
5.0
09
5.8
92
6.5
24
7.0
41
7.9
01
8.6
34
9.9
26
11.1
312.3
413.6
415.1
216.9
818.2
019.8
120.9
022.3
624.7
427.6
929.8
234.5
336.4
814
2.6
97
3.0
41
4.0
75
4.6
60
5.6
29
6.5
71
7.2
42
7.7
90
8.6
96
9.4
67
10.8
212.0
813.3
414.6
916.2
218.1
519.4
121.0
622.1
823.6
826.1
229.1
431.3
236.1
238.1
115
3.1
07
3.4
83
4.6
01
5.2
29
6.2
62
7.2
61
7.9
69
8.5
47
9.4
99
10.3
111.7
213.0
314.3
415.7
317.3
219.3
120.6
022.3
123.4
525.0
027.4
930.5
832.8
037.7
039.7
216
3.5
36
3.9
42
5.1
42
5.8
12
6.9
08
7.9
62
8.7
07
9.3
12
10.3
111.1
512.6
213.9
815.3
416.7
818.4
220.4
721.7
923.5
424.7
226.3
028.8
532.0
034.2
739.2
541.3
117
3.9
80
4.4
16
5.6
97
6.4
08
7.5
64
8.6
72
9.4
52
10.0
911.1
212.0
013.5
314.9
416.3
417.8
219.5
121.6
122.9
824.7
725.9
727.5
930.1
933.4
135.7
240.7
942.8
818
4.4
39
4.9
05
6.2
65
7.0
15
8.2
31
9.3
90
10.2
110.8
611.9
512.8
614.4
415.8
917.3
418.8
720.6
022.7
624.1
625.9
927.2
228.8
731.5
334.8
137.1
642.3
144.4
319
4.9
13
5.4
07
6.8
44
7.6
33
8.9
07
10.1
210.9
711.6
512.7
713.7
215.3
516.8
518.3
419.9
121.6
923.9
025.3
327.2
028.4
630.1
432.8
536.1
938.5
843.8
245.9
720
5.3
98
5.9
21
7.4
34
8.2
60
9.5
91
10.8
511.7
312.4
413.6
014.5
816.2
717.8
119.3
420.9
522.7
725.0
426.5
028.4
129.6
931.4
134.1
737.5
740.0
045.3
147.5
021
5.8
95
6.4
47
8.0
34
8.8
97
10.2
811.5
912.5
013.2
414.4
415.4
417.1
818.7
720.3
421.9
923.8
626.1
727.6
629.6
230.9
232.6
735.4
838.9
341.4
046.8
049.0
122
6.4
04
6.9
83
8.6
43
9.5
42
10.9
812.3
413.2
814.0
415.2
816.3
118.1
019.7
321.3
423.0
324.9
427.3
028.8
230.8
132.1
433.9
236.7
840.2
942.8
048.2
750.5
123
6.9
24
7.5
29
9.2
60
10.2
011.6
913.0
914.0
614.8
516.1
217.1
919.0
220.6
922.3
424.0
726.0
228.4
329.9
832.0
133.3
635.1
738.0
841.6
444.1
849.7
352.0
024
7.4
53
8.0
85
9.8
86
10.8
612.4
013.8
514.8
515.6
616.9
718.0
619.9
421.6
523.3
425.1
127.1
029.5
531.1
333.2
034.5
736.4
239.3
642.9
845.5
651.1
853.4
825
7.9
91
8.6
49
10.5
211.5
213.1
214.6
115.6
416.4
717.8
218.9
420.8
722.6
224.3
426.1
428.1
730.6
832.2
834.3
835.7
837.6
540.6
544.3
146.9
352.6
254.9
526
8.5
37
9.2
22
11.1
612.2
013.8
415.3
816.4
417.2
918.6
719.8
221.7
923.5
825.3
427.1
829.2
531.7
933.4
335.5
636.9
838.8
941.9
245.6
448.2
954.0
556.4
127
9.0
93
9.8
03
11.8
112.8
814.5
716.1
517.2
418.1
119.5
320.7
022.7
224.5
426.3
428.2
130.3
232.9
134.5
736.7
438.1
840.1
143.1
946.9
649.6
555.4
857.8
628
9.6
56
10.3
912.4
613.5
615.3
116.9
318.0
518.9
420.3
921.5
923.6
525.5
127.3
429.2
531.3
934.0
335.7
137.9
239.3
841.3
444.4
648.2
850.9
956.8
959.3
029
10.2
310.9
913.1
214.2
616.0
517.7
118.8
519.7
721.2
522.4
824.5
826.4
828.3
430.2
832.4
635.1
436.8
539.0
940.5
742.5
645.7
249.5
952.3
458.3
060.7
330
10.8
011.5
913.7
914.9
516.7
918.4
919.6
620.6
022.1
123.3
625.5
127.4
429.3
431.3
233.5
336.2
537.9
940.2
641.7
643.7
746.9
850.8
953.6
759.7
062.1
631
11.3
912.2
014.4
615.6
617.5
419.2
820.4
821.4
322.9
824.2
626.4
428.4
130.3
432.3
534.6
037.3
639.1
241.4
242.9
544.9
948.2
352.1
955.0
061.1
063.5
832
11.9
812.8
115.1
316.3
618.2
920.0
721.3
022.2
723.8
425.1
527.3
729.3
831.3
433.3
835.6
638.4
740.2
642.5
844.1
346.1
949.4
853.4
956.3
362.4
964.9
933
12.5
813.4
315.8
217.0
719.0
520.8
722.1
223.1
124.7
126.0
428.3
130.3
432.3
434.4
136.7
339.5
741.3
943.7
545.3
147.4
050.7
354.7
857.6
563.8
766.4
034
13.1
814.0
616.5
017.7
919.8
121.6
622.9
423.9
525.5
926.9
429.2
431.3
133.3
435.4
437.8
040.6
842.5
144.9
046.4
948.6
051.9
756.0
658.9
665.2
567.8
035
13.7
914.6
917.1
918.5
120.5
722.4
723.7
624.8
026.4
627.8
430.1
832.2
834.3
436.4
738.8
641.7
843.6
446.0
647.6
649.8
053.2
057.3
460.2
766.6
269.2
036
14.4
015.3
217.8
919.2
321.3
423.2
724.5
925.6
427.3
428.7
331.1
233.2
535.3
437.5
039.9
242.8
844.7
647.2
148.8
451.0
054.4
458.6
261.5
867.9
870.5
937
15.0
215.9
718.5
919.9
622.1
124.0
725.4
226.4
928.2
129.6
432.0
534.2
236.3
438.5
340.9
843.9
845.8
948.3
650.0
152.1
955.6
759.8
962.8
869.3
571.9
738
15.6
416.6
119.2
920.6
922.8
824.8
826.2
527.3
429.0
930.5
432.9
935.1
937.3
439.5
642.0
545.0
847.0
149.5
151.1
753.3
856.9
061.1
664.1
870.7
073.3
539
16.2
717.2
620.0
021.4
323.6
525.7
027.0
928.2
029.9
731.4
433.9
336.1
638.3
440.5
943.1
146.1
748.1
350.6
652.3
454.5
758.1
262.4
365.4
872.0
674.7
240
16.9
117.9
220.7
122.1
624.4
326.5
127.9
329.0
530.8
632.3
434.8
737.1
339.3
441.6
244.1
647.2
749.2
451.8
153.5
055.7
659.3
463.6
966.7
773.4
076.1
050
23.4
624.6
727.9
929.7
132.3
634.7
636.4
037.6
939.7
541.4
544.3
146.8
649.3
351.8
954.7
258.1
660.3
563.1
765.0
367.5
071.4
276.1
579.4
986.6
689.5
660
30.3
431.7
435.5
337.4
840.4
843.1
945.0
246.4
648.7
650.6
453.8
156.6
259.3
362.1
365.2
368.9
771.3
474.4
076.4
179.0
883.3
088.3
891.9
599.6
1102.7
70
37.4
739.0
443.2
845.4
448.7
651.7
453.7
555.3
357.8
459.9
063.3
566.4
069.3
372.3
675.6
979.7
182.2
685.5
387.6
890.5
395.0
2100.4
104.2
112.3
115.6
80
44.7
946.5
251.1
753.5
457.1
560.3
962.5
764.2
866.9
969.2
172.9
276.1
979.3
382.5
786.1
290.4
193.1
196.5
898.8
6101.9
106.6
112.3
116.3
124.8
128.3
90
52.2
854.1
659.2
061.7
565.6
569.1
371.4
673.2
976.2
078.5
682.5
185.9
989.3
392.7
696.5
2101.1
103.9
107.6
110.0
113.1
118.1
124.1
128.3
137.2
140.8
100
59.8
961.9
267.3
370.0
674.2
277.9
380.4
182.3
685.4
487.9
592.1
395.8
199.3
3102.9
106.9
111.7
114.7
118.5
121.0
124.3
129.6
135.8
140.2
149.4
153.2
120
75.4
777.7
683.8
586.9
291.5
795.7
098.4
6100.6
104.0
106.8
111.4
115.5
119.3
123.3
127.6
132.8
136.1
140.2
143.0
146.6
152.2
159.0
163.6
173.6
177.6
150
99.4
6102.1
109.1
112.7
118.0
122.7
125.8
128.3
132.1
135.3
140.5
145.0
149.3
153.8
158.6
164.3
168.0
172.6
175.6
179.6
185.8
193.2
198.4
209.3
213.6
200
140.7
143.8
152.2
156.4
162.7
168.3
172.0
174.8
179.4
183.0
189.0
194.3
199.3
204.4
210.0
216.6
220.7
226.0
229.5
234.0
241.1
249.4
255.3
267.5
272.4
11
v1
v2 q 1 2 3 4 5 6 7 8 9 10 12 15 20 30 50 100000
1 0.9 39.9 49.5 53.6 55.8 57.2 58.2 58.9 59.4 59.9 60.2 60.7 61.2 61.7 62.3 62.7 63.30.95 161 199 216 225 230 234 237 239 241 242 244 246 248 250 252 254
0.975 648 799 864 900 922 937 948 957 963 969 977 985 993 1001 1008 10180.99 4052 4999 5403 5625 5764 5859 5928 5981 6022 6056 6106 6157 6209 6261 6303 6366
0.995 16211 19999 21615 22500 23056 23437 23715 23925 24091 24224 24426 24630 24836 25044 25211 254640.999 405284 499999 540379 562500 576405 585937 592873 598144 602284 605621 610668 615764 620908 626099 630285 636616
2 0.9 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 9.39 9.41 9.42 9.44 9.46 9.47 9.490.95 18.5 19.0 19.2 19.2 19.3 19.3 19.4 19.4 19.4 19.4 19.4 19.4 19.4 19.5 19.5 19.5
0.975 38.5 39.0 39.2 39.2 39.3 39.3 39.4 39.4 39.4 39.4 39.4 39.4 39.4 39.5 39.5 39.50.99 98.5 99.0 99.2 99.2 99.3 99.3 99.4 99.4 99.4 99.4 99.4 99.4 99.4 99.5 99.5 99.5
0.995 199 199 199 199 199 199 199 199 199 199 199 199 199 199 199 1990.999 999 999 999 999 999 999 999 999 999 999 999 999 999 999 999 999
3 0.9 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 5.23 5.22 5.20 5.18 5.17 5.15 5.130.95 10.1 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 8.79 8.74 8.70 8.66 8.62 8.58 8.53
0.975 17.4 16.0 15.4 15.1 14.9 14.7 14.6 14.5 14.5 14.4 14.3 14.3 14.2 14.1 14.0 13.90.99 34.1 30.8 29.5 28.7 28.2 27.9 27.7 27.5 27.3 27.2 27.1 26.9 26.7 26.5 26.4 26.1
0.995 55.6 49.8 47.5 46.2 45.4 44.8 44.4 44.1 43.9 43.7 43.4 43.1 42.8 42.5 42.2 41.80.999 167 149 141 137 135 133 132 131 130 129 128 127 126 125 125 123
4 0.9 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 3.92 3.90 3.87 3.84 3.82 3.80 3.760.95 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 5.96 5.91 5.86 5.80 5.75 5.70 5.63
0.975 12.2 10.6 10.0 9.60 9.36 9.20 9.07 8.98 8.90 8.84 8.75 8.66 8.56 8.46 8.38 8.260.99 21.2 18.0 16.7 16.0 15.5 15.2 15.0 14.8 14.7 14.5 14.4 14.2 14.0 13.8 13.7 13.5
0.995 31.3 26.3 24.3 23.2 22.5 22.0 21.6 21.4 21.1 21.0 20.7 20.4 20.2 19.9 19.7 19.30.999 74.1 61.2 56.2 53.4 51.7 50.5 49.7 49.0 48.5 48.1 47.4 46.8 46.1 45.4 44.9 44.1
5 0.9 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32 3.30 3.27 3.24 3.21 3.17 3.15 3.110.95 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 4.74 4.68 4.62 4.56 4.50 4.44 4.37
0.975 10.0 8.43 7.76 7.39 7.15 6.98 6.85 6.76 6.68 6.62 6.52 6.43 6.33 6.23 6.14 6.020.99 16.3 13.3 12.1 11.4 11.0 10.7 10.5 10.3 10.2 10.1 9.9 9.7 9.6 9.4 9.2 9.02
0.995 22.8 18.3 16.5 15.6 14.9 14.5 14.2 14.0 13.8 13.6 13.4 13.1 12.9 12.7 12.5 12.10.999 47.2 37.1 33.2 31.1 29.8 28.8 28.2 27.6 27.2 26.9 26.4 25.9 25.4 24.9 24.4 23.8
6 0.9 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 2.94 2.90 2.87 2.84 2.80 2.77 2.720.95 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 4.06 4.00 3.94 3.87 3.81 3.75 3.67
0.975 8.81 7.26 6.60 6.23 5.99 5.82 5.70 5.60 5.52 5.46 5.37 5.27 5.17 5.07 4.98 4.850.99 13.7 10.9 9.78 9.15 8.75 8.47 8.26 8.10 7.98 7.87 7.72 7.56 7.40 7.23 7.09 6.88
0.995 18.6 14.5 12.9 12.0 11.5 11.1 10.8 10.6 10.4 10.3 10.0 9.81 9.59 9.36 9.17 8.880.999 35.5 27.0 23.7 21.9 20.8 20.0 19.5 19.0 18.7 18.4 18.0 17.6 17.1 16.7 16.3 15.7
7 0.9 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72 2.70 2.67 2.63 2.59 2.56 2.52 2.470.95 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 3.64 3.57 3.51 3.44 3.38 3.32 3.23
0.975 8.07 6.54 5.89 5.52 5.29 5.12 4.99 4.90 4.82 4.76 4.67 4.57 4.47 4.36 4.28 4.140.99 12.2 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 6.62 6.47 6.31 6.16 5.99 5.86 5.65
0.995 16.2 12.4 10.9 10.1 9.52 9.16 8.89 8.68 8.51 8.38 8.18 7.97 7.75 7.53 7.35 7.080.999 29.2 21.7 18.8 17.2 16.2 15.5 15.0 14.6 14.3 14.1 13.7 13.3 12.9 12.5 12.2 11.7
8 0.9 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 2.54 2.50 2.46 2.42 2.38 2.35 2.290.95 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 3.35 3.28 3.22 3.15 3.08 3.02 2.93
0.975 7.57 6.06 5.42 5.05 4.82 4.65 4.53 4.43 4.36 4.30 4.20 4.10 4.00 3.89 3.81 3.670.99 11.3 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5.81 5.67 5.52 5.36 5.20 5.07 4.86
0.995 14.7 11.0 9.60 8.81 8.30 7.95 7.69 7.50 7.34 7.21 7.01 6.81 6.61 6.40 6.22 5.950.999 25.4 18.5 15.8 14.4 13.5 12.9 12.4 12.0 11.8 11.5 11.2 10.8 10.5 10.1 9.80 9.33
Tabela 7: Quantis da função de distribuição F (Fisher/Snedecor)
q =P(X≤Fv1,v2;q)
12
v1
v2 q 1 2 3 4 5 6 7 8 9 10 12 15 20 30 50 100000
9 0.9 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 2.42 2.38 2.34 2.30 2.25 2.22 2.160.95 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 3.14 3.07 3.01 2.94 2.86 2.80 2.71
0.975 7.21 5.71 5.08 4.72 4.48 4.32 4.20 4.10 4.03 3.96 3.87 3.77 3.67 3.56 3.47 3.330.99 10.6 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 5.26 5.11 4.96 4.81 4.65 4.52 4.31
0.995 13.6 10.1 8.72 7.96 7.47 7.13 6.88 6.69 6.54 6.42 6.23 6.03 5.83 5.62 5.45 5.190.999 22.9 16.4 13.9 12.6 11.7 11.1 10.7 10.4 10.1 9.9 10 9.24 8.90 8.55 8.26 7.81
10 0.9 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35 2.32 2.28 2.24 2.20 2.16 2.12 2.060.95 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.02 2.98 2.91 2.85 2.77 2.70 2.64 2.54
0.975 6.94 5.46 4.83 4.47 4.24 4.07 3.95 3.85 3.78 3.72 3.62 3.52 3.42 3.31 3.22 3.080.99 10.0 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 4.85 4.71 4.56 4.41 4.25 4.12 3.91
0.995 12.8 9.43 8.08 7.34 6.87 6.54 6.30 6.12 5.97 5.85 5.66 5.47 5.27 5.07 4.90 4.640.999 21.0 14.9 12.6 11.3 10.5 9.93 9.52 9.20 8.96 8.75 8.45 8.13 7.80 7.47 7.19 6.76
11 0.9 3.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30 2.27 2.25 2.21 2.17 2.12 2.08 2.04 1.970.95 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 2.85 2.79 2.72 2.65 2.57 2.51 2.40
0.975 6.72 5.26 4.63 4.28 4.04 3.88 3.76 3.66 3.59 3.53 3.43 3.33 3.23 3.12 3.03 2.880.99 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 4.54 4.40 4.25 4.10 3.94 3.81 3.60
0.995 12.2 8.91 7.60 6.88 6.42 6.10 5.86 5.68 5.54 5.42 5.24 5.05 4.86 4.65 4.49 4.230.999 19.7 13.8 11.6 10.3 9.58 9.05 8.66 8.35 8.12 7.92 7.63 7.32 7.01 6.68 6.42 6.00
12 0.9 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21 2.19 2.15 2.10 2.06 2.01 1.97 1.900.95 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80 2.75 2.69 2.62 2.54 2.47 2.40 2.30
0.975 6.55 5.10 4.47 4.12 3.89 3.73 3.61 3.51 3.44 3.37 3.28 3.18 3.07 2.96 2.87 2.730.99 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 4.30 4.16 4.01 3.86 3.70 3.57 3.36
0.995 11.8 8.51 7.23 6.52 6.07 5.76 5.52 5.35 5.20 5.09 4.91 4.72 4.53 4.33 4.17 3.900.999 18.6 13.0 10.8 9.63 8.89 8.38 8.00 7.71 7.48 7.29 7.00 6.71 6.40 6.09 5.83 5.42
13 0.9 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16 2.14 2.10 2.05 2.01 1.96 1.92 1.850.95 4.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77 2.71 2.67 2.60 2.53 2.46 2.38 2.31 2.21
0.975 6.41 4.97 4.35 4.00 3.77 3.60 3.48 3.39 3.31 3.25 3.15 3.05 2.95 2.84 2.74 2.600.99 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 4.10 3.96 3.82 3.66 3.51 3.38 3.17
0.995 11.4 8.19 6.93 6.23 5.79 5.48 5.25 5.08 4.94 4.82 4.64 4.46 4.27 4.07 3.91 3.650.999 17.8 12.3 10.2 9.07 8.35 7.86 7.49 7.21 6.98 6.80 6.52 6.23 5.93 5.63 5.37 4.97
14 0.9 3.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15 2.12 2.10 2.05 2.01 1.96 1.91 1.87 1.800.95 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 2.60 2.53 2.46 2.39 2.31 2.24 2.13
0.975 6.30 4.86 4.24 3.89 3.66 3.50 3.38 3.29 3.21 3.15 3.05 2.95 2.84 2.73 2.64 2.490.99 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.14 4.03 3.94 3.80 3.66 3.51 3.35 3.22 3.00
0.995 11.1 7.92 6.68 6.00 5.56 5.26 5.03 4.86 4.72 4.60 4.43 4.25 4.06 3.86 3.70 3.440.999 17.1 11.8 9.73 8.62 7.92 7.44 7.08 6.80 6.58 6.40 6.13 5.85 5.56 5.25 5.00 4.60
15 0.9 3.07 2.70 2.49 2.36 2.27 2.21 2.16 2.12 2.09 2.06 2.02 1.97 1.92 1.87 1.83 1.760.95 4.54 3.68 3.29 3.06 2.90 2.79 2.71 2.64 2.59 2.54 2.48 2.40 2.33 2.25 2.18 2.07
0.975 6.20 4.77 4.15 3.80 3.58 3.41 3.29 3.20 3.12 3.06 2.96 2.86 2.76 2.64 2.55 2.400.99 8.7 6.36 5.42 4.89 4.56 4.32 4.14 4.00 3.89 3.80 3.67 3.52 3.37 3.21 3.08 2.87
0.995 10.8 7.70 6.48 5.80 5.37 5.07 4.85 4.67 4.54 4.42 4.25 4.07 3.88 3.69 3.52 3.260.999 16.6 11.3 9.34 8.25 7.57 7.09 6.74 6.47 6.26 6.08 5.81 5.54 5.25 4.95 4.70 4.31
16 0.9 3.05 2.67 2.46 2.33 2.24 2.18 2.13 2.09 2.06 2.03 1.99 1.94 1.89 1.84 1.79 1.720.95 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 2.49 2.42 2.35 2.28 2.19 2.12 2.01
0.975 6.12 4.69 4.08 3.73 3.50 3.34 3.22 3.12 3.05 2.99 2.89 2.79 2.68 2.57 2.47 2.320.99 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.78 3.69 3.55 3.41 3.26 3.10 2.97 2.75
0.995 10.6 7.51 6.30 5.64 5.21 4.91 4.69 4.52 4.38 4.27 4.10 3.92 3.73 3.54 3.37 3.110.999 16.1 11.0 9.01 7.94 7.27 6.80 6.46 6.19 5.98 5.81 5.55 5.27 4.99 4.70 4.45 4.06
17 0.9 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 2.00 1.96 1.91 1.86 1.81 1.76 1.690.95 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55 2.49 2.45 2.38 2.31 2.23 2.15 2.08 1.96
0.975 6.04 4.62 4.01 3.66 3.44 3.28 3.16 3.06 2.98 2.92 2.82 2.72 2.62 2.50 2.41 2.250.99 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 3.59 3.46 3.31 3.16 3.00 2.87 2.65
0.995 10.4 7.35 6.16 5.50 5.07 4.78 4.56 4.39 4.25 4.14 3.97 3.79 3.61 3.41 3.25 2.980.999 15.7 10.7 8.73 7.68 7.02 6.56 6.22 5.96 5.75 5.58 5.32 5.05 4.78 4.48 4.24 3.85
13
v1
v2 q 1 2 3 4 5 6 7 8 9 10 12 15 20 30 50 100000
18 0.9 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 1.98 1.93 1.89 1.84 1.78 1.74 1.660.95 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 2.41 2.34 2.27 2.19 2.11 2.04 1.92
0.975 5.98 4.56 3.95 3.61 3.38 3.22 3.10 3.01 2.93 2.87 2.77 2.67 2.56 2.44 2.35 2.190.99 8.3 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 3.51 3.37 3.23 3.08 2.92 2.78 2.57
0.995 10.2 7.21 6.03 5.37 4.96 4.66 4.44 4.28 4.14 4.03 3.86 3.68 3.50 3.30 3.14 2.870.999 15.4 10.4 8.49 7.46 6.81 6.35 6.02 5.76 5.56 5.39 5.13 4.87 4.59 4.30 4.06 3.67
19 0.9 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 1.96 1.91 1.86 1.81 1.76 1.71 1.630.95 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48 2.42 2.38 2.31 2.23 2.16 2.07 2.00 1.88
0.975 5.92 4.51 3.90 3.56 3.33 3.17 3.05 2.96 2.88 2.82 2.72 2.62 2.51 2.39 2.30 2.130.99 8.18 5.93 5.01 4.50 4.17 3.94 3.77 3.63 3.52 3.43 3.30 3.15 3.00 2.84 2.71 2.49
0.995 10.1 7.09 5.92 5.27 4.85 4.56 4.34 4.18 4.04 3.93 3.76 3.59 3.40 3.21 3.04 2.780.999 15.1 10.2 8.3 7.3 6.6 6.18 5.85 5.59 5.39 5.22 4.97 4.70 4.43 4.14 3.90 3.51
20 0.9 2.97 2.59 2.38 2.25 2.16 2.09 2.04 2.00 1.96 1.94 1.89 1.84 1.79 1.74 1.69 1.610.95 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 2.35 2.28 2.20 2.12 2.04 1.97 1.84
0.975 5.87 4.46 3.86 3.51 3.29 3.13 3.01 2.91 2.84 2.77 2.68 2.57 2.46 2.35 2.25 2.090.99 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 3.37 3.23 3.09 2.94 2.78 2.64 2.42
0.995 9.94 6.99 5.82 5.17 4.76 4.47 4.26 4.09 3.96 3.85 3.68 3.50 3.32 3.12 2.96 2.690.999 14.8 10.0 8.10 7.10 6.46 6.02 5.69 5.44 5.24 5.08 4.82 4.56 4.29 4.00 3.77 3.38
21 0.9 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98 1.95 1.92 1.87 1.83 1.78 1.72 1.67 1.590.95 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 2.32 2.25 2.18 2.10 2.01 1.94 1.81
0.975 5.83 4.42 3.82 3.48 3.25 3.09 2.97 2.87 2.80 2.73 2.64 2.53 2.42 2.31 2.21 2.040.99 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51 3.40 3.31 3.17 3.03 2.88 2.72 2.58 2.36
0.995 9.83 6.89 5.73 5.09 4.68 4.39 4.18 4.01 3.88 3.77 3.60 3.43 3.24 3.05 2.88 2.610.999 14.6 9.77 7.9 6.95 6.32 5.88 5.56 5.31 5.11 4.95 4.70 4.44 4.17 3.88 3.64 3.26
22 0.9 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97 1.93 1.90 1.86 1.81 1.76 1.70 1.65 1.570.95 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40 2.34 2.30 2.23 2.15 2.07 1.98 1.91 1.78
0.975 5.79 4.38 3.78 3.44 3.22 3.05 2.93 2.84 2.76 2.70 2.60 2.50 2.39 2.27 2.17 2.000.99 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 3.26 3.12 2.98 2.83 2.67 2.53 2.31
0.995 9.73 6.81 5.65 5.02 4.61 4.32 4.11 3.94 3.81 3.70 3.54 3.36 3.18 2.98 2.82 2.550.999 14.4 9.61 7.8 6.81 6.19 5.76 5.44 5.19 4.99 4.83 4.58 4.33 4.06 3.78 3.54 3.15
23 0.9 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95 1.92 1.89 1.84 1.80 1.74 1.69 1.64 1.550.95 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37 2.32 2.27 2.20 2.13 2.05 1.96 1.88 1.76
0.975 5.75 4.35 3.75 3.41 3.18 3.02 2.90 2.81 2.73 2.67 2.57 2.47 2.36 2.24 2.14 1.970.99 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3.30 3.21 3.07 2.93 2.78 2.62 2.48 2.26
0.995 9.63 6.73 5.58 4.95 4.54 4.26 4.05 3.88 3.75 3.64 3.47 3.30 3.12 2.92 2.76 2.480.999 14.2 9.47 7.67 6.70 6.08 5.65 5.33 5.09 4.89 4.73 4.48 4.23 3.96 3.68 3.44 3.05
24 0.9 2.93 2.54 2.33 2.19 2.10 2.04 1.98 1.94 1.91 1.88 1.83 1.78 1.73 1.67 1.62 1.530.95 4.26 3.40 3.01 2.78 2.62 2.51 2.42 2.36 2.30 2.25 2.18 2.11 2.03 1.94 1.86 1.73
0.975 5.72 4.32 3.72 3.38 3.15 2.99 2.87 2.78 2.70 2.64 2.54 2.44 2.33 2.21 2.11 1.940.99 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 3.17 3.03 2.89 2.74 2.58 2.44 2.21
0.995 9.55 6.66 5.52 4.89 4.49 4.20 3.99 3.83 3.69 3.59 3.42 3.25 3.06 2.87 2.70 2.430.999 14.0 9.34 7.55 6.59 5.98 5.55 5.23 4.99 4.80 4.64 4.39 4.14 3.87 3.59 3.36 2.97
25 0.9 2.92 2.53 2.32 2.18 2.09 2.02 1.97 1.93 1.89 1.87 1.82 1.77 1.72 1.66 1.61 1.520.95 4.24 3.39 2.99 2.76 2.60 2.49 2.40 2.34 2.28 2.24 2.16 2.09 2.01 1.92 1.84 1.71
0.975 5.69 4.29 3.69 3.35 3.13 2.97 2.85 2.75 2.68 2.61 2.51 2.41 2.30 2.18 2.08 1.910.99 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32 3.22 3.13 2.99 2.85 2.70 2.54 2.40 2.17
0.995 9.48 6.60 5.46 4.84 4.43 4.15 3.94 3.78 3.64 3.54 3.37 3.20 3.01 2.82 2.65 2.380.999 13.9 9.22 7.45 6.49 5.89 5.46 5.15 4.91 4.71 4.56 4.31 4.06 3.79 3.52 3.28 2.89
30 0.9 2.88 2.49 2.28 2.14 2.05 1.98 1.93 1.88 1.85 1.82 1.77 1.72 1.67 1.61 1.55 1.460.95 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 2.16 2.09 2.01 1.93 1.84 1.76 1.62
0.975 5.57 4.18 3.59 3.25 3.03 2.87 2.75 2.65 2.57 2.51 2.41 2.31 2.20 2.07 1.97 1.790.99 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 2.98 2.84 2.70 2.55 2.39 2.25 2.01
0.995 9.18 6.35 5.24 4.62 4.23 3.95 3.74 3.58 3.45 3.34 3.18 3.01 2.82 2.63 2.46 2.180.999 13.3 8.77 7.05 6.12 5.53 5.12 4.82 4.58 4.39 4.24 4.00 3.75 3.49 3.22 2.98 2.59
14
v1
v2 q 1 2 3 4 5 6 7 8 9 10 12 15 20 30 50 100000
35 0.9 2.85 2.46 2.25 2.11 2.02 1.95 1.90 1.85 1.82 1.79 1.74 1.69 1.63 1.57 1.51 1.410.95 4.12 3.27 2.87 2.64 2.49 2.37 2.29 2.22 2.16 2.11 2.04 1.96 1.88 1.79 1.70 1.56
0.975 5.48 4.11 3.52 3.18 2.96 2.80 2.68 2.58 2.50 2.44 2.34 2.23 2.12 2.00 1.89 1.700.99 7.42 5.27 4.40 3.91 3.59 3.37 3.20 3.07 2.96 2.88 2.74 2.60 2.44 2.28 2.14 1.89
0.995 8.98 6.19 5.09 4.48 4.09 3.81 3.61 3.45 3.32 3.21 3.05 2.88 2.69 2.50 2.33 2.040.999 12.9 8.5 6.79 5.88 5.30 4.89 4.59 4.36 4.18 4.03 3.79 3.55 3.29 3.02 2.78 2.38
40 0.9 2.84 2.44 2.23 2.09 2.00 1.93 1.87 1.83 1.79 1.76 1.71 1.66 1.61 1.54 1.48 1.380.95 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 2.08 2.00 1.92 1.84 1.74 1.66 1.51
0.975 5.42 4.05 3.46 3.13 2.90 2.74 2.62 2.53 2.45 2.39 2.29 2.18 2.07 1.94 1.83 1.640.99 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 2.80 2.66 2.52 2.37 2.20 2.06 1.80
0.995 8.83 6.07 4.98 4.37 3.99 3.71 3.51 3.35 3.22 3.12 2.95 2.78 2.60 2.40 2.23 1.930.999 12.6 8.25 6.59 5.70 5.13 4.73 4.44 4.21 4.02 3.87 3.64 3.40 3.14 2.87 2.64 2.23
45 0.9 2.82 2.42 2.21 2.07 1.98 1.91 1.85 1.81 1.77 1.74 1.70 1.64 1.58 1.52 1.46 1.350.95 4.06 3.20 2.81 2.58 2.42 2.31 2.22 2.15 2.10 2.05 1.97 1.89 1.81 1.71 1.63 1.47
0.975 5.38 4.01 3.42 3.09 2.86 2.70 2.58 2.49 2.41 2.35 2.25 2.14 2.03 1.90 1.79 1.590.99 7.23 5.11 4.25 3.77 3.45 3.23 3.07 2.94 2.83 2.74 2.61 2.46 2.31 2.14 2.00 1.74
0.995 8.71 5.97 4.89 4.29 3.91 3.64 3.43 3.28 3.15 3.04 2.88 2.71 2.53 2.33 2.16 1.850.999 12.4 8.1 6.45 5.56 5.00 4.61 4.32 4.09 3.91 3.76 3.53 3.29 3.04 2.76 2.53 2.12
50 0.9 2.81 2.41 2.20 2.06 1.97 1.90 1.84 1.80 1.76 1.73 1.68 1.63 1.57 1.50 1.44 1.330.95 4.03 3.18 2.79 2.56 2.40 2.29 2.20 2.13 2.07 2.03 1.95 1.87 1.78 1.69 1.60 1.44
0.975 5.34 3.97 3.39 3.05 2.83 2.67 2.55 2.46 2.38 2.32 2.22 2.11 1.99 1.87 1.75 1.550.99 7.17 5.06 4.20 3.72 3.41 3.19 3.02 2.89 2.78 2.70 2.56 2.42 2.27 2.10 1.95 1.68
0.995 8.63 5.90 4.83 4.23 3.85 3.58 3.38 3.22 3.09 2.99 2.82 2.65 2.47 2.27 2.10 1.790.999 12.2 7.96 6.34 5.46 4.90 4.51 4.22 4.00 3.82 3.67 3.44 3.20 2.95 2.68 2.44 2.03
60 0.9 2.79 2.39 2.18 2.04 1.95 1.87 1.82 1.77 1.74 1.71 1.66 1.60 1.54 1.48 1.41 1.290.95 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10 2.04 1.99 1.92 1.84 1.75 1.65 1.56 1.39
0.975 5.29 3.93 3.34 3.01 2.79 2.63 2.51 2.41 2.33 2.27 2.17 2.06 1.94 1.82 1.70 1.480.99 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.72 2.63 2.50 2.35 2.20 2.03 1.88 1.60
0.995 8.49 5.79 4.73 4.14 3.76 3.49 3.29 3.13 3.01 2.90 2.74 2.57 2.39 2.19 2.01 1.690.999 12.0 7.77 6.2 5.31 4.76 4.37 4.09 3.86 3.69 3.54 3.32 3.08 2.83 2.55 2.32 1.89
80 0.9 2.77 2.37 2.15 2.02 1.92 1.85 1.79 1.75 1.71 1.68 1.63 1.57 1.51 1.44 1.38 1.240.95 3.96 3.11 2.72 2.49 2.33 2.21 2.13 2.06 2.00 1.95 1.88 1.79 1.70 1.60 1.51 1.32
0.975 5.22 3.86 3.28 2.95 2.73 2.57 2.45 2.35 2.28 2.21 2.11 2.00 1.88 1.75 1.63 1.400.99 6.96 4.88 4.04 3.56 3.26 3.04 2.87 2.74 2.64 2.55 2.42 2.27 2.12 1.94 1.79 1.49
0.995 8.33 5.67 4.61 4.03 3.65 3.39 3.19 3.03 2.91 2.80 2.64 2.47 2.29 2.08 1.90 1.560.999 11.7 7.54 5.97 5.12 4.58 4.20 3.92 3.70 3.53 3.39 3.16 2.93 2.68 2.41 2.16 1.72
100 0.9 2.76 2.36 2.14 2.00 1.91 1.83 1.78 1.73 1.69 1.66 1.61 1.56 1.49 1.42 1.35 1.210.95 3.94 3.09 2.70 2.46 2.31 2.19 2.10 2.03 1.97 1.93 1.85 1.77 1.68 1.57 1.48 1.28
0.975 5.18 3.83 3.25 2.92 2.70 2.54 2.42 2.32 2.24 2.18 2.08 1.97 1.85 1.71 1.59 1.350.99 6.90 4.82 3.98 3.51 3.21 2.99 2.82 2.69 2.59 2.50 2.37 2.22 2.07 1.89 1.74 1.43
0.995 8.24 5.59 4.54 3.96 3.59 3.33 3.13 2.97 2.85 2.74 2.58 2.41 2.23 2.02 1.84 1.490.999 11.5 7.41 5.86 5.02 4.48 4.11 3.83 3.61 3.44 3.30 3.07 2.84 2.59 2.32 2.08 1.62
120 0.9 2.75 2.35 2.13 1.99 1.90 1.82 1.77 1.72 1.68 1.65 1.60 1.55 1.48 1.41 1.34 1.190.95 3.92 3.07 2.68 2.45 2.29 2.18 2.09 2.02 1.96 1.91 1.83 1.75 1.66 1.55 1.46 1.25
0.975 5.15 3.80 3.23 2.89 2.67 2.52 2.39 2.30 2.22 2.16 2.05 1.94 1.82 1.69 1.56 1.310.99 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66 2.56 2.47 2.34 2.19 2.03 1.86 1.70 1.38
0.995 8.18 5.54 4.50 3.92 3.55 3.28 3.09 2.93 2.81 2.71 2.54 2.37 2.19 1.98 1.80 1.430.999 11.4 7.32 5.78 4.95 4.42 4.04 3.77 3.55 3.38 3.24 3.02 2.78 2.53 2.26 2.02 1.54
100000 0.9 2.71 2.30 2.08 1.94 1.85 1.77 1.72 1.67 1.63 1.60 1.55 1.49 1.42 1.34 1.26 1.010.95 3.84 3.00 2.60 2.37 2.21 2.10 2.01 1.94 1.88 1.83 1.75 1.67 1.57 1.46 1.35 1.01
0.975 5.02 3.69 3.12 2.79 2.57 2.41 2.29 2.19 2.11 2.05 1.94 1.83 1.71 1.57 1.43 1.010.99 6.64 4.61 3.78 3.32 3.02 2.80 2.64 2.51 2.41 2.32 2.18 2.04 1.88 1.70 1.52 1.01
0.995 7.88 5.30 4.28 3.72 3.35 3.09 2.90 2.74 2.62 2.52 2.36 2.19 2.00 1.79 1.59 1.020.999 10.8 6.91 5.42 4.62 4.10 3.74 3.47 3.27 3.10 2.96 2.74 2.51 2.27 1.99 1.73 1.02
15