15. If P(A) = 0.4, P(B| A) = 0.35, P(A  B) =0.69, then P(B) =

a. 0.14

b. 0.43

c. 0.75

d. 0.59

18. If X and Y are mutually exclusive events with P(X) = 0.295, P(Y) = 0.32, then P(XY) =

a. 0.0944

b. 0.6150

c. 1.0000

d. 0.0000

27. For a standard normal distribution, the probabilityof z  0 is

a. zero

b. -0.5

c. 0.5

d. one

28. Z is a standard normal random variable. The P(-1.96  Z  -1.4) equals

a. 0.8942

b. 0.0558

c. 0.475

d. 0.4192

29. The weight of football players is normally distributed with a meanof 200 pounds and a standard deviationof 25 pounds. The probability of a player weighing less than 250 pounds is

a. 0.4772

b. 0.9772

c. 0.0528

d. 0.5000

31. A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within 2 of the population mean?

a. 0.6826

b. 0.3413

c. -0.6826

d. Since the mean is not given, there is no answer to this question.

The solution is provided in an attachment and includes explanations to the multiple choice answers and references.