7/23/2019 IDS420 HW 1

1/147

0.3605457 0 Bin Frequency

0.2998444 0.1 0 0

0.6767479 0.2 0.1 89

0.3791925 0.3 0.2 93

0.0199896 0.4 0.3 115

0.6104312 0.5 0.4 110

0.5285806 0.6 0.5 105

0.5217139 0.7 0.6 105

0.3517563 0.8 0.7 80

0.7766655 0.9 0.8 85

0.2269356 1 0.9 105

0.7905515 1 113

0.5884274 More 0

0.5329142

0.7723319

0.0731529

0.9000214

0.3715018

0.1804865

0.3444929

0.7960448

0.9618213

0.3500168

0.688345

0.1854915

0.5946837

0.8541826

0.5477157

0.75176240.6835841

0.5623951

0.4845424

0.7976623

0.8535722

0.4985199

0.2307199

0.2179632

0.6493728

0.8412122

0.31113620.7548143

0.3940245

0.4734947

0.0205084

0.1925413

0.2288888

0.9873653

0.0346995

7/23/2019 IDS420 HW 1

2/147

0.6485794

0.8668783

0.5494247

0.4382763

0.615833

0.0893582

0.5344707

0.4492019

0.9135716

0.5191809

0.3326212

0.6220588

0.2027039

0.6994232

0.2368236

0.8110904

0.2217475

0.0108036

0.8163091

0.6742759

0.3996704

0.4578997

0.6829127

0.9995422

0.0020447

0.8557085

0.0562151

0.6345714

0.4667196

0.4479507

0.0335704

0.3014924

0.0849025

0.4883267

0.9716483

0.0773339

0.6846217

0.8157903

0.8853725

0.82201610.4718162

0.9551378

0.2709128

0.3344829

0.6866359

0.7745903

0.2586749

0.5191809

7/23/2019 IDS420 HW 1

3/147

7/23/2019 IDS420 HW 1

4/147

7/23/2019 IDS420 HW 1

5/147

0.4450209

0.7035737

0.9627064

0.6235847

0.1987976

0.6818751

0.4593341

0.3878903

0.4966277

0.9552599

0.3201392

0.217658

0.4054994

0.1300089

0.8048647

0.5978881

0.1777703

0.8262886

0.4207587

0.4036988

0.497177

0.5658437

0.3841975

0.1406903

0.8825037

0.1853389

0.506119

0.9138768

0.906064

0.8061159

0.4073

0.4061403

0.3828242

0.8919645

0.4702902

0.6480605

0.1864681

0.4259774

0.4337596

0.8597980.8485061

0.7379376

0.0356151

0.1463668

0.5970336

0.0129704

0.6113163

0.3281655

7/23/2019 IDS420 HW 1

6/147

7/23/2019 IDS420 HW 1

7/147

0.4046449

0.2734458

0.1412702

0.7199622

0.1224097

0.9444258

0.5557421

0.4932402

0.8560747

0.2724998

0.9162572

0.5825373

0.4607074

0.6867275

0.4518876

0.2520524

0.7886593

0.1952879

0.943144

0.2450636

0.8567461

0.5079501

0.4800562

0.133549

0.9221778

0.4334239

0.3946959

0.1463668

0.1229896

0.5837275

0.2734458

0.7574694

0.8387707

0.9162572

0.4555498

0.8147221

0.4286325

0.1449934

0.9244972

0.4912870.5024873

0.5522629

0.9979247

0.8404798

0.3813898

0.2319102

0.7228919

0.2352367

7/23/2019 IDS420 HW 1

8/147

0.9039888

0.2954802

0.3823359

0.4738304

0.2345958

0.0726646

0.0190435

0.832606

0.8298288

0.836848

0.3836787

0.847438

0.2192145

0.0875576

0.2124393

0.10477

0.7571642

0.9206824

0.2416761

0.8239998

0.0010071

0.517777

0.8645894

0.5115207

0.8732871

0.2859584

0.8368786

0.469039

0.2623981

0.6793115

0.9376202

0.4360179

0.2199774

0.2329783

0.9912717

0.1484725

0.4095279

0.8419141

0.1574145

0.09500410.9633778

0.814478

0.8942534

0.2512589

0.4043397

0.7329936

0.5020295

0.0740989

7/23/2019 IDS420 HW 1

9/147

0.7880184

0.65215

0.6532182

0.5371258

0.7216712

0.6664632

0.8147526

0.4878384

0.4168523

0.3781549

0.969512

0.1091342

0.431135

0.2967315

0.5425886

0.7647938

0.2555315

0.7013764

0.9391156

0.0114444

0.4042177

0.9975585

0.5994446

0.057741

0.1619312

0.0989105

0.9783929

0.4518876

0.6463515

0.8659627

0.3543504

0.2790002

0.3407392

0.1324198

0.8749657

0.649617

0.7538987

0.3510849

0.7449873

0.76033810.3630177

0.3895993

0.9634999

0.3078707

0.4962004

0.5082858

0.5156407

0.5381939

7/23/2019 IDS420 HW 1

10/147

0.3106479

0.0505387

0.4262825

0.7114475

0.5226295

0.8777429

0.5807062

0.2640156

0.0458998

0.0791345

0.7193823

0.4495376

0.1944945

0.9886776

0.5128941

0.7392193

0.6060366

0.039491

0.1229896

0.7633595

0.5423139

0.4879299

0.1564989

0.0752586

0.7227393

0.5374004

0.4176153

0.518601

0.3475448

0.8942534

0.3657949

0.4791711

0.4665975

0.2865688

0.6845302

0.8033998

0.3499557

0.976867

0.868099

0.66331980.0168767

0.8002869

0.231727

0.1507309

0.5793329

0.7595447

0.252205

0.8807642

7/23/2019 IDS420 HW 1

11/147

7/23/2019 IDS420 HW 1

12/147

0.3125706

0.7249062

0.5971557

0.9140904

0.8785058

0.5906552

0.0847804

0.8700217

0.7325968

0.9273049

0.184698

0.8209784

0.3873104

0.6609394

0.2282785

0.9432356

0.3027741

0.9449446

0.6543168

0.7235023

0.1090426

0.1180151

0.259682

0.8322398

0.1116977

0.8127689

0.9987793

0.3502304

0.7368389

0.245735

0.2378307

0.6301767

0.0714133

0.2206183

0.8711509

0.5739616

0.1563158

0.8753929

0.2040773

0.60756250.1867733

0.7047334

0.0106204

0.1342204

0.277749

0.889584

0.6705527

0.7474593

7/23/2019 IDS420 HW 1

13/147

0.9500412

0.4639119

0.7932066

0.9850764

0.9929197

0.351268

0.2335276

0.9055452

0.8604694

0.8012329

0.9074679

0.2676778

0.2571184

0.2576678

0.3116855

0.5953551

0.0688192

0.1901608

0.1554308

0.9080172

0.2963958

0.9190649

0.0093387

0.3984802

0.1468856

0.966277

0.3783685

0.8395032

0.9394513

0.9626759

0.10477

0.9996338

0.9819941

0.6433302

0.5074313

0.8506424

0.0745567

0.9617908

0.1635182

0.84676660.7964415

0.8549455

0.739494

0.05768

0.2318796

0.6894131

0.776574

0.4363536

7/23/2019 IDS420 HW 1

14/147

0.2923368

0.920835

0.8380078

0.0023804

0.2902005

0.9973449

0.9237342

0.223487

0.9208655

0.0383007

0.5587634

0.3744926

0.3091525

0.3199561

0.4618976

0.1570177

0.2767418

0.0986358

0.2005676

0.3594775

0.4861599

0.8033082

0.7383648

0.8397473

0.6181524

0.1284524

0.2811975

0.6111942

0.2385022

0.0587176

0.3289285

0.3135166

0.5107578

0.356212

0.337962

0.8496048

0.4104129

0.5420698

0.9015168

0.46949670.597705

0.903531

0.8537553

0.0832545

0.6048769

0.5573901

0.2040162

0.0831629

7/23/2019 IDS420 HW 1

15/147

0.49382

0.1015656

0.307474

0.4571673

0.6409803

0.8858608

0.1779839

0.4745933

0.8052919

0.4325999

0.3502304

0.7253029

0.1356548

0.0397656

0.1966613

0.7936033

0.2741478

0.0961943

0.1058077

0.3482467

0.2109439

0.1414533

0.4283273

0.9297769

0.047853

0.2008423

0.5965758

0.21601

0.3259072

0.4271065

0.3245949

0.0478225

0.0738243

0.5801263

0.2941984

0.9955443

0.2335582

0.3756523

0.2336802

0.74764240.6188543

0.2343822

0.795526

0.1033052

0.0631733

0.4628132

0.1387371

0.8493912

7/23/2019 IDS420 HW 1

16/147

0.9137852

0.3968932

0.623249

0.3032929

0.5270852

0.5398419

0.521012

0.8037355

0.9229408

0.2254097

0.1517685

0.9292581

0.2527238

0.837611

0.3482467

0.7270425

0.2386853

0.1185034

0.6580401

0.7325968

0.2398144

0.5952635

0.1879025

0.0614643

0.1010773

0.657094

0.497116

0.3549303

0.4422742

0.3144322

0.4454787

0.8601032

0.5421918

0.1705985

0.4031495

0.4259468

0.4752342

0.6378979

0.7276833

0.69713430.6557512

0.9286782

0.915128

0.2857143

0.4471572

0.8535722

0.3309122

0.2030702

7/23/2019 IDS420 HW 1

17/147

0.9916379

0.9572436

0.9275796

0.3326518

0.9168065

0.0234077

0.8543657

0.2248909

0.0755028

0.4803003

0.3664052

0.9960326

0.97528

0.7374798

0.9383831

0.6111026

0.0532243

0.9860225

0.9897458

0.3335978

0.4531083

0.4924467

0.1276589

0.6219062

0.4604328

0.9182409

0.3135472

0.2544023

0.2521439

0.6959136

0.8597674

0.964507

0.117008

0.9930113

0.6625874

0.3662832

0.8028199

0.2951445

0.5780206

0.45304730.146794

0.1397443

0.3460494

0.4486221

0.6458632

0.0309458

0.9702139

0.2940458

7/23/2019 IDS420 HW 1

18/147

7/23/2019 IDS420 HW 1

19/147

7/23/2019 IDS420 HW 1

20/147

7/23/2019 IDS420 HW 1

21/147

0.4733726

0.4504837

0.1012299

0.4451125

0.8976409

0.4700461

0.3158971

0.5299844

0.8100223

0.1712394

0.0787683

0.0968657

0.1773736

0.9606922

0.7487411

0.8334605

0.1442305

0.2822352

0.8618732

0.0284433

0.6535539

0.3798334

0.9680471

0.6869411

0.2255318

0.5857112

0.8913236

0.3743706

0.5512558

0.1652882

0.3203833

0.07004

0.0564592

0.2498245

0.1353801

0.8118839

0.0928373

0.8883633

0.3771783

0.4132206

7/23/2019 IDS420 HW 1

22/147

0 0.10.20.30.

0

50

100

150

Distribution of 10

Frequency

7/23/2019 IDS420 HW 1

23/147

7/23/2019 IDS420 HW 1

24/147

7/23/2019 IDS420 HW 1

25/147

7/23/2019 IDS420 HW 1

26/147

7/23/2019 IDS420 HW 1

27/147

7/23/2019 IDS420 HW 1

28/147

7/23/2019 IDS420 HW 1

29/147

7/23/2019 IDS420 HW 1

30/147

7/23/2019 IDS420 HW 1

31/147

7/23/2019 IDS420 HW 1

32/147

7/23/2019 IDS420 HW 1

33/147

7/23/2019 IDS420 HW 1

34/147

7/23/2019 IDS420 HW 1

35/147

7/23/2019 IDS420 HW 1

36/147

7/23/2019 IDS420 HW 1

37/147

7/23/2019 IDS420 HW 1

38/147

7/23/2019 IDS420 HW 1

39/147

7/23/2019 IDS420 HW 1

40/147

7/23/2019 IDS420 HW 1

41/147

7/23/2019 IDS420 HW 1

42/147

7/23/2019 IDS420 HW 1

43/147

Random Number Test n!"orm!ty #ess T$an Test %nde&endence

0.5577289502 0

0.3016417925 1 0

0.399134794 1 1

0.6995655943 0 0

0.6849767149 0 1

0.3590175847 1 0

0.5334220477 0 0

0.788340911 0 1

0.3118991032 1 0

0.1736448042 1 1

0.3746602158 1 1

0.8077901239 0 0

0.5910780733 0 1

0.5126921448 0 1

0.8882889021 0 1

0.2822238675 1 0

0.4184127906 1 1

0.0035856206 1 1

0.3452910066 1 1

0.6428583807 0 0

0.6228649025 0 1

0.886705844 0 1

0.3149006239 1 0

0.6541813766 0 0

0.9772086604 0 1

0.6073006527 0 1

0.3587651516 1 0

0.5460321878 0 0

0.0032344663 1 0

0.9832769542 0 0

0.5086227148 0 1

0.9856997831 0 1

0.4164184569 1 0

0.5643057642 0 0

0.3456903447 1 0

0.8994901332 0 0

0.7588589422 0 1

0.3364446827 1 0

0.6564582998 0 00.6202689249 0 1

0.4044212964 1 0

0.0954631579 1 1

0.8626439858 0 0

0.0718789289 1 0

0.0413351418 1 1

0.649708692 0 0

0.9507172646 0 1

7/23/2019 IDS420 HW 1

44/147

0.2268671738 1 0

0.1208655294 1 1

0.9595849798 0 0

0.5661774646 0 1

0.9546120197 0 1

0.7029818392 0 1

0.6738578295 0 1

0.2855972149 1 0

0.7664047934 0 0

0.2031302643 1 0

0.4289972289 1 1

0.9338412958 0 0

0.8850792819 0 1

0.9530782183 0 1

0.3792358052 1 0

0.6885272881 0 0

0.7417025012 0 1

0.4502260219 1 0

0.6395017391 0 0

0.4542116462 1 0

0.6281785832 0 0

0.2265142829 1 0

0.4432850003 1 1

0.3580706052 1 1

0.2722766288 1 1

0.5460771243 0 0

0.1806955801 1 0

0.6554062655 0 0

0.6216966531 0 1

0.3930818546 1 0

0.296627094 1 1

0.6836603524 0 0

0.3605107397 1 0

0.7915199718 0 0

0.9474374559 0 1

0.0405939047 1 0

0.6516692268 0 0

0.2799086 1 0

0.2084203749 1 1

0.37468027 1 10.6655209549 0 0

0.0779138757 1 0

0.9466024451 0 0

0.8642690785 0 1

0.2043040891 1 0

0.3186017559 1 1

0.1890502276 1 1

0.4471642964 1 1

7/23/2019 IDS420 HW 1

45/147

0.8150902917 0 0

0.1952752939 1 0

0.5629932475 0 0

0.1786279115 1 0

0.2990429099 1 1

0.298775113 1 1

0.7628944735 0 0

0.1732003575 1 0

0.1791857048 1 1

0.0923150436 1 1

0.8869921693 0 0

0.1072307942 1 0

0.1583450234 1 1

0.1128816151 1 1

0.543062462 0 0

0.4422567883 1 0

0.6544744275 0 0

0.2484351045 1 0

0.9831760796 0 0

0.6781260746 0 1

0.0630157057 1 0

0.5585675426 0 0

0.480614715 1 0

0.8001654325 0 0

0.1210021218 1 0

0.6841802183 0 0

0.8763775972 0 1

0.124015874 1 0

0.9703420852 0 0

0.2814751926 1 0

0.1363793553 1 1

0.1845300286 1 1

0.2772189118 1 1

0.1408978126 1 1

0.1782389162 1 1

0.504668595 0 0

0.7800490605 0 1

0.0167185841 1 0

0.94029529 0 0

0.5692977803 0 10.6996158944 0 1

0.9725539263 0 1

0.6701115184 0 1

0.1974516995 1 0

0.4964979454 1 1

0.7047951045 0 0

0.6561713158 0 1

0.2017106717 1 0

7/23/2019 IDS420 HW 1

46/147

0.237210623 1 1

0.572544391 0 0

0.169339065 1 0

0.4734041074 1 1

0.1676857998 1 1

0.6514655645 0 0

0.124623317 1 0

0.6077148425 0 0

0.5062143938 0 1

0.9289398012 0 1

0.5347715819 0 1

0.7505375734 0 1

0.3826449856 1 0

0.6039308703 0 0

0.2475786756 1 0

0.8095128466 0 0

0.5422289434 0 1

0.4385375883 1 0

0.3678487837 1 1

0.8658414469 0 0

0.9815680594 0 1

0.7558130482 0 1

0.6685489952 0 1

0.9957165618 0 1

0.5175769704 0 1

0.5418152928 0 1

0.2463656859 1 0

0.3484902198 1 1

0.413777149 1 1

0.0730909347 1 1

0.2053858812 1 1

0.8408456885 0 0

0.3369323749 1 0

0.440199275 1 1

0.2084859016 1 1

0.9747671364 0 0

0.1772025861 1 0

0.1743811397 1 1

0.3900882187 1 1

0.2815294422 1 10.5644731445 0 0

0.1894818339 1 0

0.4800956221 1 1

0.8288196968 0 0

0.1880037724 1 0

0.9010977247 0 0

0.8401845358 0 1

0.4043928534 1 0

7/23/2019 IDS420 HW 1

47/147

0.5254538148 0 0

0.9420742339 0 1

0.3956327282 1 0

0.6501962245 0 0

0.3445753523 1 0

0.3486859798 1 1

0.0364723487 1 1

0.6842457305 0 0

0.0382076295 1 0

0.8741557121 0 0

0.7545303958 0 1

0.2067611148 1 0

0.3698716443 1 1

0.4524676874 1 1

0.4612648941 1 1

0.9136739501 0 0

0.0122434886 1 0

0.5421227342 0 0

0.8187209086 0 1

0.1830577613 1 0

0.013192924 1 1

0.5911296695 0 0

0.5437657172 0 1

0.3880969982 1 0

0.8528191613 0 0

0.9223261138 0 1

0.767869449 0 1

0.3494002677 1 0

0.1994217872 1 1

0.2144810935 1 1

0.166808957 1 1

0.7611723032 0 0

0.9214245097 0 1

0.7763399947 0 1

0.3829789076 1 0

0.3919130841 1 1

0.054014731 1 1

0.0664196913 1 1

0.7434153548 0 0

0.9182724124 0 10.5889058581 0 1

0.2044263911 1 0

0.2668014772 1 1

0.2800123699 1 1

0.1118625614 1 1

0.3373923474 1 1

0.5770336518 0 0

0.893359761 0 1

7/23/2019 IDS420 HW 1

48/147

0.2881812879 1 0

0.386825718 1 1

0.0267649393 1 1

0.5159602512 0 0

0.8787996289 0 1

0.6094831168 0 1

0.7770658408 0 1

0.9858710631 0 1

0.9796408508 0 1

0.964418187 0 1

0.3818720062 1 0

0.208958532 1 1

0.2462218045 1 1

0.8401255298 0 0

0.744514822 0 1

0.1459895927 1 0

0.8726984267 0 0

0.8255047458 0 1

0.5992736316 0 1

0.4034026703 1 0

0.1558670246 1 1

0.257391179 1 1

0.1576649721 1 1

0.5191510788 0 0

0.8743883937 0 1

0.4631648343 1 0

0.5124059818 0 0

0.8612294639 0 1

0.5885927214 0 1

0.4373617647 1 0

0.4519909339 1 1

0.9666782802 0 0

0.5931235468 0 1

0.7824150054 0 1

0.370474793 1 0

0.6852757314 0 0

0.5013439599 0 1

0.9246676057 0 1

0.9587470165 0 1

0.3674073133 1 00.6688798594 0 0

0.6933032256 0 1

0.3777145362 1 0

0.6473729657 0 0

0.8564972682 0 1

0.9496701208 0 1

0.7844347712 0 1

0.924853541 0 1

7/23/2019 IDS420 HW 1

49/147

0.1697136974 1 0

0.0330627747 1 1

0.3398103546 1 1

0.4712678001 1 1

0.5291976382 0 0

0.6827611311 0 1

0.8033646918 0 1

0.494931476 1 0

0.7746407199 0 0

0.6823086222 0 1

0.9300473309 0 1

0.6425220612 0 1

0.0687954908 1 0

0.2176364223 1 1

0.8938622386 0 0

0.0866189816 1 0

0.6487077586 0 0

0.8487294724 0 1

0.6063552718 0 1

0.8116519845 0 1

0.4787205749 1 0

0.2904269856 1 1

0.6731991512 0 0

0.2424450817 1 0

0.6871010445 0 0

0.2123197562 1 0

0.9855128177 0 0

0.137210825 1 0

0.4794050301 1 1

0.3542863445 1 1

0.7164135266 0 0

0.1541217845 1 0

0.6132086874 0 0

0.1179696342 1 0

0.0340050624 1 1

0.5540878344 0 0

0.1736458286 1 0

0.2341694538 1 1

0.5447628309 0 0

0.5266723379 0 10.4671173431 1 0

0.5149195753 0 0

0.6030165392 0 1

0.0029724713 1 0

0.7052501289 0 0

0.8264880348 0 1

0.7613734289 0 1

0.7538036783 0 1

7/23/2019 IDS420 HW 1

50/147

0.4914107379 1 0

0.9865632358 0 0

0.4348573533 1 0

0.1635289812 1 1

0.954434888 0 0

0.6521072588 0 1

0.3783849715 1 0

0.4850914069 1 1

0.5009662213 0 0

0.8204826817 0 1

0.642867259 0 1

0.5307993828 0 1

0.4880389625 1 0

0.7066098738 0 0

0.1558868508 1 0

0.3637274858 1 1

0.6028637988 0 0

0.791478757 0 1

0.7815153303 0 1

0.1008362668 1 0

0.0437109668 1 1

0.6576684725 0 0

0.133608086 1 0

0.4764734223 1 1

0.1431001001 1 1

0.7853915528 0 0

0.8500976826 0 1

0.9218480496 0 1

0.5085943122 0 1

0.414822638 1 0

0.46357641 1 1

0.8105598185 0 0

0.3205653478 1 0

0.3278915258 1 1

0.747166934 0 0

0.2677769137 1 0

0.5482878613 0 0

0.9369904052 0 1

0.2027171333 1 0

0.9253844102 0 00.4753147927 1 0

0.223922661 1 1

0.9137235349 0 0

0.4703536455 1 0

0.4102911637 1 1

0.4200702568 1 1

0.422289276 1 1

0.9304503461 0 0

7/23/2019 IDS420 HW 1

51/147

0.992633065 0 1

0.1377465145 1 0

0.2233543333 1 1

0.9904601346 0 0

0.5638921151 0 1

0.4775747936 1 0

0.0195063634 1 1

0.1701943371 1 1

0.3036408692 1 1

0.6906173222 0 0

0.2484543384 1 0

0.3550254584 1 1

0.4741959695 1 1

0.3049874327 1 1

0.6061704694 0 0

0.9713274892 0 1

0.6662969794 0 1

0.480585959 1 0

0.4517256701 1 1

0.8902469981 0 0

0.1185540063 1 0

0.0378602471 1 1

0.476487278 1 1

0.7778079326 0 0

0.747978471 0 1

0.3183297785 1 0

0.1851523216 1 1

0.1203648034 1 1

0.7816814953 0 0

0.846639992 0 1

0.010556259 1 0

0.3718116865 1 1

0.92431501 0 0

0.0954555636 1 0

0.8115929042 0 0

0.3193994802 1 0

0.228186873 1 1

0.7618900519 0 0

0.7378211212 0 1

0.5083821255 0 10.7214272884 0 1

0.9216873671 0 1

0.2890566252 1 0

0.7658275738 0 0

0.7014253694 0 1

0.1709939232 1 0

0.976769269 0 0

0.2687591431 1 0

7/23/2019 IDS420 HW 1

52/147

0.1410915237 1 1

0.7369096882 0 0

0.870744189 0 1

0.0265611373 1 0

0.6007907593 0 0

0.5552175492 0 1

0.4161293651 1 0

0.1277471792 1 1

0.6334615205 0 0

0.7443957075 0 1

0.76601522 0 1

0.1606816261 1 0

0.8056008888 0 0

0.3193371217 1 0

0.1829453581 1 1

0.7455819978 0 0

0.6398270917 0 1

0.0416687366 1 0

0.7108066205 0 0

0.581610583 0 1

0.2955176744 1 0

0.7881222276 0 0

0.1439225706 1 0

0.3242045955 1 1

0.4819737833 1 1

0.379961214 1 1

0.264761732 1 1

0.3712083634 1 1

0.6923418462 0 0

0.9960264224 0 1

0.4043564766 1 0

0.8578267964 0 0

0.021707189 1 0

0.1379925169 1 1

0.3182886064 1 1

0.1727206039 1 1

0.8328117679 0 0

0.6016509521 0 1

0.6342644454 0 1

0.0634709012 1 00.3776387004 1 1

0.7736112808 0 0

0.7683329713 0 1

0.0904239442 1 0

0.020182692 1 1

0.8824661928 0 0

0.0543974752 1 0

0.9758691846 0 0

7/23/2019 IDS420 HW 1

53/147

0.9946801057 0 1

0.32216757 1 0

0.7205245367 0 0

0.0063080112 1 0

0.5916905345 0 0

0.6918194073 0 1

0.5765670666 0 1

0.4373172468 1 0

0.6102858591 0 0

0.69426077 0 1

0.5548019095 0 1

0.985403358 0 1

0.7025335652 0 1

0.7845183434 0 1

0.5436624014 0 1

0.9638446285 0 1

0.3650722837 1 0

0.5707485734 0 0

0.1827523524 1 0

0.3259867227 1 1

0.8857445482 0 0

0.8681324967 0 1

0.5185509275 0 1

0.6204340181 0 1

0.5031981282 0 1

0.4593147761 1 0

0.5711269176 0 0

0.3885577067 1 0

0.3300008555 1 1

0.8226483176 0 0

0.030594531 1 0

0.48756256 1 1

0.1515479311 1 1

0.5099613641 0 0

0.9431492798 0 1

0.901841522 0 1

0.0573911248 1 0

0.2943605403 1 1

0.6955731914 0 0

0.789119507 0 10.6876736565 0 1

0.5826871325 0 1

0.7659828484 0 1

0.058290293 1 0

0.6564804383 0 0

0.7741130954 0 1

0.5100439482 0 1

0.8063758076 0 1

7/23/2019 IDS420 HW 1

54/147

0.5883749917 0 1

0.1389231093 1 0

0.0590218869 1 1

0.8944547412 0 0

0.0149430048 1 0

0.1451386977 1 1

0.2616016725 1 1

0.8908558418 0 0

0.8299311928 0 1

0.5097286392 0 1

0.1024338526 1 0

0.7418259028 0 0

0.9125141758 0 1

0.2604757666 1 0

0.4352460052 1 1

0.2967895651 1 1

0.7332553833 0 0

0.8369415279 0 1

0.9439564436 0 1

0.0676074335 1 0

0.6310950406 0 0

0.8840540792 0 1

0.4062743655 1 0

0.9417928837 0 0

0.284736447 1 0

0.2409274704 1 1

0.6856067032 0 0

0.6257796439 0 1

0.0798938216 1 0

0.1875482241 1 1

0.9127766781 0 0

0.0055390645 1 0

0.8961329982 0 0

0.7935318139 0 1

0.1706465464 1 0

0.2571225748 1 1

0.3070388746 1 1

0.0931006263 1 1

0.1475633672 1 1

0.0657795472 1 10.7866302871 0 0

0.968341154 0 1

0.903076689 0 1

0.7611493308 0 1

0.4154294913 1 0

0.9039630545 0 0

0.5576670771 0 1

0.8106004731 0 1

7/23/2019 IDS420 HW 1

55/147

0.0363701486 1 0

0.0935998112 1 1

0.488674798 1 1

0.076429507 1 1

0.0421393677 1 1

0.7889579679 0 0

0.1732029954 1 0

0.471575777 1 1

0.5617548828 0 0

0.6561328075 0 1

0.3319316807 1 0

0.0725510782 1 1

0.8725276999 0 0

0.8182778615 0 1

0.7113612131 0 1

0.1402242931 1 0

0.4326557659 1 1

0.6441625913 0 0

0.2196950081 1 0

0.6889547233 0 0

0.3117652866 1 0

0.6985597108 0 0

0.9888592458 0 1

0.6394628379 0 1

0.0588743214 1 0

0.9838004783 0 0

0.8266295833 0 1

0.1295685095 1 0

0.2874134867 1 1

0.5259562056 0 0

0.711471014 0 1

0.605211373 0 1

0.0330547953 1 0

0.2495100945 1 1

0.9438820363 0 0

0.101532825 1 0

0.7359560847 0 0

0.3541329175 1 0

0.3223833174 1 1

0.8446830383 0 00.5469222444 0 1

0.6507150503 0 1

0.4937497247 1 0

0.4491853344 1 1

0.9948333423 0 0

0.9770136685 0 1

0.0917999188 1 0

0.7522346296 0 0

7/23/2019 IDS420 HW 1

56/147

0.0656766838 1 0

0.0080417099 1 1

0.0937897519 1 1

0.6877839772 0 0

0.282785573 1 0

0.1372130774 1 1

0.8459136842 0 0

0.1773417329 1 0

0.8249826431 0 0

0.5319774128 0 1

0.8727764911 0 1

0.5349587998 0 1

0.8054929236 0 1

0.3001876962 1 0

0.3176684191 1 1

0.364706438 1 1

0.6912274433 0 0

0.3568835761 1 0

0.4826326633 1 1

0.4742416616 1 1

0.1608743765 1 1

0.1596622227 1 1

0.6698624794 0 0

0.8632056189 0 1

0.9278421693 0 1

0.3084886631 1 0

0.4322872821 1 1

0.8403701675 0 0

0.7067863317 0 1

0.1519950421 1 0

0.7770123046 0 0

0.3691773561 1 0

0.6061003001 0 0

0.454346406 1 0

0.982778782 0 0

0.4227384387 1 0

0.8470522698 0 0

0.079244717 1 0

0.7680120312 0 0

0.826197952 0 10.8859956684 0 1

0.3973915421 1 0

0.2152764667 1 1

0.8129295935 0 0

0.1217059146 1 0

0.5451824325 0 0

0.2455381865 1 0

0.3285460076 1 1

7/23/2019 IDS420 HW 1

57/147

0.4027769831 1 1

0.0678338502 1 1

0.3471482936 1 1

0.501520707 0 0

0.8234342984 0 1

0.8870714591 0 1

0.112744946 1 0

0.8898039269 0 0

0.1860069872 1 0

0.603626949 0 0

0.4817810578 1 0

0.8531766348 0 0

0.8445113241 0 1

0.1032396588 1 0

0.8173780399 0 0

0.7014048495 0 1

0.5682248585 0 1

0.8518858138 0 1

0.5208486905 0 1

0.3712953858 1 0

0.0930676074 1 1

0.0224950095 1 1

0.3702016957 1 1

0.7399585624 0 0

0.3237103266 1 0

0.9617709895 0 0

0.1137595333 1 0

0.0164909363 1 1

0.802844563 0 0

0.4049005606 1 0

0.2161069838 1 1

0.0700805995 1 1

0.6784005868 0 0

0.3551118979 1 0

0.4763730781 1 1

0.7725890439 0 0

0.1621946781 1 0

0.9078045909 0 0

0.7223328704 0 1

0.4227601655 1 00.2788770623 1 1

0.0919640588 1 1

0.6278926495 0 0

0.9018850145 0 1

0.2393681919 1 0

0.3209480192 1 1

0.9266316779 0 0

0.5159062743 0 1

7/23/2019 IDS420 HW 1

58/147

0.2167607557 1 0

0.1967957588 1 1

0.9248634076 0 0

0.5515244438 0 1

0.5673179072 0 1

0.6339897565 0 1

0.8499243252 0 1

0.8972702695 0 1

0.6093143281 0 1

0.1227313967 1 0

0.2229266628 1 1

0.34333813 1 1

0.7337103868 0 0

0.0442260683 1 0

0.1725176843 1 1

0.3693800448 1 1

0.9832986002 0 0

0.1474320332 1 0

0.6889193584 0 0

0.4754190124 1 0

0.4531327712 1 1

0.5539061611 0 0

0.9766945117 0 1

0.9247996691 0 1

0.0984040068 1 0

0.0535303392 1 1

0.3782767013 1 1

0.1348658202 1 1

0.3890634929 1 1

0.0306858958 1 1

0.4503622081 1 1

0.0540462874 1 1

0.2813673206 1 1

0.3806439245 1 1

0.9179937199 0 0

0.6164365378 0 1

0.5492464243 0 1

0.6761811513 0 1

0.2023619404 1 0

0.4308867578 1 10.2395943808 1 1

0.8161309587 0 0

0.613759808 0 1

0.1085916171 1 0

0.5437044946 0 0

0.5135845847 0 1

0.8590344109 0 1

0.7285195778 0 1

7/23/2019 IDS420 HW 1

59/147

0.127704984 1 0

0.8779559562 0 0

0.1078360919 1 0

0.0755908445 1 1

0.4953858126 1 1

0.5536189363 0 0

0.3668291869 1 0

0.5354944058 0 0

0.444120269 1 0

0.1700728899 1 1

0.7998028807 0 0

0.6717895328 0 1

0.2956245672 1 0

0.1793649965 1 1

0.760714394 0 0

0.599673498 0 1

0.9907624491 0 1

0.9429682072 0 1

0.7420847083 0 1

0.7108854058 0 1

0.5051464429 0 1

0.4606832115 1 0

0.7313587344 0 0

0.2732737828 1 0

0.0854559585 1 1

0.1220732976 1 1

0.9387076639 0 0

0.3855917286 1 0

0.6263156526 0 0

0.9812472523 0 1

0.7963647109 0 1

0.9395598257 0 1

0.7181815333 0 1

0.8700547644 0 1

0.9987422763 0 1

0.5904174091 0 1

0.57096384 0 1

0.6246582875 0 1

0.8350690841 0 1

0.3609856125 1 00.2411431023 1 1

0.1702529208 1 1

0.133988356 1 1

0.928295966 0 0

0.6269942673 0 1

0.7139813947 0 1

0.0035676998 1 0

0.161964847 1 1

7/23/2019 IDS420 HW 1

60/147

0.8619773244 0 0

0.2392760259 1 0

0.6025907784 0 0

0.6303396416 0 1

0.0617731237 1 0

0.7678249439 0 0

0.5830440451 0 1

0.521312118 0 1

0.8133932173 0 1

0.9199336809 0 1

0.3746192064 1 0

0.2188120224 1 1

0.4128841071 1 1

0.3998395225 1 1

0.8659441806 0 0

0.2708196735 1 0

0.9621228536 0 0

0.1237594918 1 0

0.0611615127 1 1

0.6812707083 0 0

0.2485101596 1 0

0.2075551583 1 1

0.5894215915 0 0

0.135511141 1 0

0.9495090768 0 0

0.9263157833 0 1

0.0173870225 1 0

0.5810045367 0 0

0.3611253519 1 0

0.1494165615 1 1

0.5738498974 0 0

0.9227071735 0 1

0.1641279995 1 0

0.5787825638 0 0

0.1777342479 1 0

0.6833454061 0 0

0.3138545891 1 0

0.7938324267 0 0

0.9050697582 0 1

0.0358322419 1 00.5690340726 0 0

0.5417037962 0 1

0.3386009783 1 0

0.8090857388 0 0

0.8701065769 0 1

0.3831104366 1 0

0.1642250959 1 1

0.9559853256 0 0

7/23/2019 IDS420 HW 1

61/147

0.4599706465 1 0

0.1837988195 1 1

0.2473444331 1 1

0.4707588265 1 1

0.0185270056 1 1

0.7154538606 0 0

0.5260614657 0 1

0.5667702502 0 1

0.2288347951 1 0

0.3119889372 1 1

0.6057073292 0 0

0.6217088709 0 1

0.6270301302 0 1

0.293334756 1 0

0.1251795003 1 1

0.0466758362 1 1

0.061165788 1 1

0.1003297353 1 1

0.08880854 1 1

0.9234824677 0 0

0.490941315 1 0

0.652521858 0 0

0.4139280957 1 0

0.8349727765 0 0

0.4631831453 1 0

0.6722033212 0 0

0.9071174839 0 1

0.8082955617 0 1

0.7518552756 0 1

0.6822355732 0 1

0.1918266942 1 0

0.8140172914 0 0

0.3389942774 1 0

0.4049194711 1 1

0.3113101355 1 1

0.7744927618 0 0

0.0344919001 1 0

0.4583986707 1 1

0.9920746351 0 0

0.8971288558 0 10.757238558 0 1

0.2544858081 1 0

0.8470978939 0 0

0.3251510095 1 0

0.8542522669 0 0

0.2349735994 1 0

0.832546138 0 0

0.7309678127 0 1

7/23/2019 IDS420 HW 1

62/147

0.3024022803 1 0

0.0183946504 1 1

0.7419229709 0 0

0.5573973292 0 1

0.6492002686 0 1

0.7878054408 0 1

0.9535134048 0 1

0.131905036 1 0

0.8597085222 0 0

0.7860111794 0 1

0.8184071879 0 1

0.9476196237 0 1

0.0189358154 1 0

0.3831530339 1 1

0.8728268875 0 0

0.4279891534 1 0

0.4839150468 1 1

0.7713860753 0 0

0.9015731029 0 1

0.4067345199 1 0

0.174715711 1 1

0.9493982331 0 0

0.0308077068 1 0

0.1428974285 1 1

0.1232879423 1 1

0.8139896116 0 0

0.597221232 0 1

0.5493947151 0 1

0.2724051438 1 0

0.7006119178 0 0

0.0755746546 1 0

0.9300269827 0 0

0.2247523861 1 0

0.861575858 0 0

0.9258559688 0 1

0.3954861355 1 0

0.5916598174 0 0

0.6269928983 0 1

0.4577270234 1 0

0.019140817 1 10.816453788 0 0

0.5981452926 0 1

0.8634751469 0 1

0.4515586062 1 0

0.3564124361 1 1

0.043442958 1 1

0.6488508135 0 0

0.489909857 1 0

7/23/2019 IDS420 HW 1

63/147

0.9078717593 0 0

0.5874539658 0 1

0.7049020855 0 1

0.1367152468 1 0

0.4141226863 1 1

0.9474193132 0 0

0.3213543536 1 0

0.5093070546 0 0

0.0748317766 1 0

0.9697305367 0 0

0.3126906836 1 0

0.4533874304 1 1

0.7483588292 0 0

0.5254882206 0 1

0.2653902033 1 0

0.4513715121 1 1

0.9237540262 0 0

0.9587893502 0 1

0.4964255311 1 0

0.0726920355 1 1

0.9497327381 0 0

0.570507315 0 1

0.5020699715 0 1

0.1468439319 1 0

0.8699348059 0 0

0.4242858991 1 0

0.331772493 1 1

0.5238563202 0 0

0.5077880553 0 1

0.9890002045 0 1

0.7189753391 0 1

0.9384221109 0 1

0.0359785177 1 0

0.8347859324 0 0

0.8468606987 0 1

0.4054289011 1 0

0.4988352444 1 1

0.9731434518 0 0

0.778554478 0 1

0.3541644723 1 00.5578862072 0 0

'(era)e 0.481 0.5015015015

7/23/2019 IDS420 HW 1

64/147

Test n!"orm!ty More T$an Test %nde&endence

1

0 0 *ro&erty 1+ 48,

0 1

1 0 *ro&erty 2+ 50,

1 1 50,

0 0

1 0

1 1

0 0

0 1

0 1

1 0

1 1

1 1

1 1

0 0

0 1

0 1

0 1

1 0

1 1

1 1

0 0

1 0

1 1

1 1

0 0

1 0

0 0

1 0

1 1

1 1

0 0

1 0

0 0

1 0

1 1

0 0

1 01 1

0 0

0 1

1 0

0 0

0 1

1 0

1 1

7/23/2019 IDS420 HW 1

65/147

0 0

0 1

1 0

1 1

1 1

1 1

1 1

0 0

1 0

0 0

0 1

1 0

1 1

1 1

0 0

1 0

1 1

0 0

1 0

0 0

1 0

0 0

0 1

0 1

0 1

1 0

0 0

1 0

1 1

0 0

0 1

1 0

0 0

1 0

1 1

0 0

1 0

0 0

0 1

0 11 0

0 0

1 0

1 1

0 0

0 1

0 1

0 1

7/23/2019 IDS420 HW 1

66/147

1 0

0 0

1 0

0 0

0 1

0 1

1 0

0 0

0 1

0 1

1 0

0 0

0 1

0 1

1 0

0 0

1 0

0 0

1 0

1 1

0 0

1 0

0 0

1 0

0 0

1 0

1 1

0 0

1 0

0 0

0 1

0 1

0 1

0 1

0 1

1 0

1 1

0 0

1 0

1 11 1

1 1

1 1

0 0

0 1

1 0

1 1

0 0

7/23/2019 IDS420 HW 1

67/147

0 1

1 0

0 0

0 1

0 1

1 0

0 0

1 0

1 1

1 1

1 1

1 1

0 0

1 0

0 0

1 0

1 1

0 0

0 1

1 0

1 1

1 1

1 1

1 1

1 1

1 1

0 0

0 1

0 1

0 1

0 1

1 0

0 0

0 1

0 1

1 0

0 0

0 1

0 1

0 11 0

0 0

0 1

1 0

0 0

1 0

1 1

0 0

7/23/2019 IDS420 HW 1

68/147

1 0

1 1

0 0

1 0

0 0

0 1

0 1

1 0

0 0

1 0

1 1

0 0

0 1

0 1

0 1

1 0

0 0

1 0

1 1

0 0

0 1

1 0

1 1

0 0

1 0

1 1

1 1

0 0

0 1

0 1

0 1

1 0

1 1

1 1

0 0

0 1

0 1

0 1

1 0

1 11 1

0 0

0 1

0 1

0 1

0 1

1 0

1 1

7/23/2019 IDS420 HW 1

69/147

0 0

0 1

0 1

1 0

1 1

1 1

1 1

1 1

1 1

1 1

0 0

0 1

0 1

1 0

1 1

0 0

1 0

1 1

1 1

0 0

0 1

0 1

0 1

1 0

1 1

0 0

1 0

1 1

1 1

0 0

0 1

1 0

1 1

1 1

0 0

1 0

1 1

1 1

1 1

0 01 0

1 1

0 0

1 0

1 1

1 1

1 1

1 1

7/23/2019 IDS420 HW 1

70/147

0 0

0 1

0 1

0 1

1 0

1 1

1 1

0 0

1 0

1 1

1 1

1 1

0 0

0 1

1 0

0 0

1 0

1 1

1 1

1 1

0 0

0 1

1 0

0 0

1 0

0 0

1 0

0 0

0 1

0 1

1 0

0 0

1 0

0 0

0 1

1 0

0 0

0 1

1 0

1 10 0

1 0

1 1

0 0

1 0

1 1

1 1

1 1

7/23/2019 IDS420 HW 1

71/147

0 0

1 0

0 0

0 1

1 0

1 1

0 0

0 1

1 0

1 1

1 1

1 1

0 0

1 0

0 0

0 1

1 0

1 1

1 1

0 0

0 1

1 0

0 0

0 1

0 1

1 0

1 1

1 1

1 1

0 0

0 1

1 0

0 0

0 1

1 0

0 0

1 0

1 1

0 0

1 00 0

0 1

1 0

0 0

0 1

0 1

0 1

1 0

7/23/2019 IDS420 HW 1

72/147

1 1

0 0

0 1

1 0

1 1

0 0

0 1

0 1

0 1

1 0

0 0

0 1

0 1

0 1

1 0

1 1

1 1

0 0

0 1

1 0

0 0

0 1

0 1

1 0

1 1

0 0

0 1

0 1

1 0

1 1

0 0

0 1

1 0

0 0

1 0

0 0

0 1

1 0

1 1

1 11 1

1 1

0 0

1 0

1 1

0 0

1 0

0 0

7/23/2019 IDS420 HW 1

73/147

0 1

1 0

1 1

0 0

1 0

1 1

0 0

0 1

1 0

1 1

1 1

0 0

1 0

0 0

0 1

1 0

1 1

0 0

1 0

1 1

0 0

1 0

0 0

0 1

0 1

0 1

0 1

0 1

1 0

1 1

0 0

1 0

0 0

0 1

0 1

0 1

1 0

1 1

1 1

0 00 1

1 0

1 1

0 0

0 1

1 0

0 0

1 0

7/23/2019 IDS420 HW 1

74/147

1 1

0 0

1 0

0 0

1 0

1 1

1 1

0 0

1 0

1 1

1 1

1 1

1 1

1 1

1 1

1 1

0 0

1 0

0 0

0 1

1 0

1 1

1 1

1 1

1 1

0 0

1 0

0 0

0 1

1 0

0 0

0 1

0 1

1 0

1 1

1 1

0 0

0 1

1 0

1 11 1

1 1

1 1

0 0

1 0

1 1

1 1

1 1

7/23/2019 IDS420 HW 1

75/147

7/23/2019 IDS420 HW 1

76/147

0 0

0 1

0 1

0 1

0 1

1 0

0 0

0 1

1 0

1 1

0 0

0 1

1 0

1 1

1 1

0 0

0 1

1 0

0 0

1 0

0 0

1 0

1 1

1 1

0 0

1 0

1 1

0 0

0 1

1 0

1 1

1 1

0 0

0 1

1 0

0 0

1 0

0 0

0 1

1 01 1

1 1

0 0

0 1

1 0

1 1

0 0

1 0

7/23/2019 IDS420 HW 1

77/147

7/23/2019 IDS420 HW 1

78/147

0 1

0 1

0 1

1 0

1 1

1 1

0 0

1 0

0 0

1 0

0 0

1 0

1 1

0 0

1 0

1 1

1 1

1 1

1 1

0 0

0 1

0 1

0 1

1 0

0 0

1 0

0 0

0 1

1 0

0 0

0 1

0 1

1 0

0 0

0 1

1 0

0 0

1 0

1 1

0 00 1

0 1

1 0

1 1

0 0

0 1

1 0

1 1

7/23/2019 IDS420 HW 1

79/147

0 0

0 1

1 0

1 1

1 1

1 1

1 1

1 1

1 1

0 0

0 1

0 1

1 0

0 0

0 1

0 1

1 0

0 0

1 0

0 0

0 1

1 0

1 1

1 1

0 0

0 1

0 1

0 1

0 1

0 1

0 1

0 1

0 1

0 1

1 0

1 1

1 1

1 1

0 0

0 10 1

1 0

1 1

0 0

1 0

1 1

1 1

1 1

7/23/2019 IDS420 HW 1

80/147

0 0

1 0

0 0

0 1

0 1

1 0

0 0

1 0

0 0

0 1

1 0

1 1

0 0

0 1

1 0

1 1

1 1

1 1

1 1

1 1

1 1

0 0

1 0

0 0

0 1

0 1

1 0

0 0

1 0

1 1

1 1

1 1

1 1

1 1

1 1

1 1

1 1

1 1

1 1

0 00 1

0 1

0 1

1 0

1 1

1 1

0 0

0 1

7/23/2019 IDS420 HW 1

81/147

1 0

0 0

1 0

1 1

0 0

1 0

1 1

1 1

1 1

1 1

0 0

0 1

0 1

0 1

1 0

0 0

1 0

0 0

0 1

1 0

0 0

0 1

1 0

0 0

1 0

1 1

0 0

1 0

0 0

0 1

1 0

1 1

0 0

1 0

0 0

1 0

0 0

1 0

1 1

0 01 0

1 1

0 0

1 0

1 1

0 0

0 1

1 0

7/23/2019 IDS420 HW 1

82/147

0 0

0 1

0 1

0 1

0 1

1 0

1 1

1 1

0 0

0 1

1 0

1 1

1 1

0 0

0 1

0 1

0 1

0 1

0 1

1 0

0 0

1 0

0 0

1 0

0 0

1 0

1 1

1 1

1 1

1 1

0 0

1 0

0 0

0 1

0 1

1 0

0 0

0 1

1 0

1 11 1

0 0

1 0

0 0

1 0

0 0

1 0

1 1

7/23/2019 IDS420 HW 1

83/147

7/23/2019 IDS420 HW 1

84/147

7/23/2019 IDS420 HW 1

85/147

o" number !s #ess t$an 0.5

o" number !s #ess t$an 0.5

o" number !s )reater t$an 0.5 and equa# 0.5

7/23/2019 IDS420 HW 1

86/147

7/23/2019 IDS420 HW 1

87/147

7/23/2019 IDS420 HW 1

88/147

7/23/2019 IDS420 HW 1

89/147

7/23/2019 IDS420 HW 1

90/147

7/23/2019 IDS420 HW 1

91/147

7/23/2019 IDS420 HW 1

92/147

7/23/2019 IDS420 HW 1

93/147

7/23/2019 IDS420 HW 1

94/147

7/23/2019 IDS420 HW 1

95/147

7/23/2019 IDS420 HW 1

96/147

7/23/2019 IDS420 HW 1

97/147

7/23/2019 IDS420 HW 1

98/147

7/23/2019 IDS420 HW 1

99/147

7/23/2019 IDS420 HW 1

100/147

7/23/2019 IDS420 HW 1

101/147

7/23/2019 IDS420 HW 1

102/147

7/23/2019 IDS420 HW 1

103/147

7/23/2019 IDS420 HW 1

104/147

7/23/2019 IDS420 HW 1

105/147

7/23/2019 IDS420 HW 1

106/147

a- 9

b- 2

m- 13

0- 1

7/23/2019 IDS420 HW 1

107/147

7/23/2019 IDS420 HW 1

108/147

7/23/2019 IDS420 HW 1

109/147

7/23/2019 IDS420 HW 1

110/147

7/23/2019 IDS420 HW 1

111/147

7/23/2019 IDS420 HW 1

112/147

7/23/2019 IDS420 HW 1

113/147

7/23/2019 IDS420 HW 1

114/147

7/23/2019 IDS420 HW 1

115/147

7/23/2019 IDS420 HW 1

116/147

7/23/2019 IDS420 HW 1

117/147

7/23/2019 IDS420 HW 1

118/147

7/23/2019 IDS420 HW 1

119/147

7/23/2019 IDS420 HW 1

120/147

7/23/2019 IDS420 HW 1

121/147

7/23/2019 IDS420 HW 1

122/147

7/23/2019 IDS420 HW 1

123/147

7/23/2019 IDS420 HW 1

124/147

7/23/2019 IDS420 HW 1

125/147

7/23/2019 IDS420 HW 1

126/147

7/23/2019 IDS420 HW 1

127/147

R

1 0.0769231

11 0.8461538

10 0.7692308

*er!od!c!ty-3 1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.846153810 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.076923111 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

Ri

= Xi/ m

Xi+1

= (a Xi

+ b ) MOD m, i = 0, 1, 2,

7/23/2019 IDS420 HW 1

128/147

7/23/2019 IDS420 HW 1

129/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

130/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

131/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

132/147

7/23/2019 IDS420 HW 1

133/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

134/147

7/23/2019 IDS420 HW 1

135/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

136/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

137/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

138/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

139/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

140/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

141/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

142/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

143/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

144/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

145/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

146/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.76923081 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

7/23/2019 IDS420 HW 1

147/147

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538

10 0.7692308

1 0.0769231

11 0.8461538