if f (x) is the probability density function for the blood cholesterol level of men over the age of...

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If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter, express as an integral the probability that the cholesterol level of such a man lies between 185 and 240. 1 2 3 4 25% 25% 25% 25% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 2. 3. 4.

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Page 1: If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter,

If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter, express as an integral the probability that the cholesterol level of such a man lies between 185 and 240.

1 2 3 4

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

1. 2.

3. 4.

Page 2: If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter,

1 2 3 4 5 6

17% 17% 17%17%17%17%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

1. 3.5

2. 6

3. 5

4. 5.5

5. 2.5

6. 3

Page 3: If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter,

1 2 3 4 5 6

17% 17% 17%17%17%17%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

1. 970.41 hours

2. 1,247.66 hours

3. 1,802.18 hours

4. 1,524.92 hours

5. 1,386.29 hours

6. 2,079.44 hours

Page 4: If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter,

According to the National Health Survey, the heights of adult males in the United States are (normally distributed with mean) 72 inches, and standard deviation of 2.8 inches. What is the probability that an adult male chosen at random is between 70 inches and 75 inches tall?

1 2 3 4 5 6

17% 17% 17%17%17%17%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

1. 0.81

2. 0.68

3. 0.43

4. 0.31

5. 0.56

6. 0.62

Page 5: If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter,

1 2 3 4 5 6

17% 17% 17%17%17%17%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

1. 16

2. 26

3. 12

4. 28

5. 20

6. 24

Page 6: If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter,

1 2 3 4 5 6

17% 17% 17%17%17%17%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

1. 0.17

2. 0.54

3. 0.86

4. 0.2

5. 0.44

6. 0.48