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# Standard distribution, deviation, etc.

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15. If P(A) = 0.4, P(B| A) = 0.35, P(A &#61640; 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&#61629;Y) =
a. 0.0944
b. 0.6150
c. 1.0000
d. 0.0000

27. For a standard normal distribution, the probability of z &#61603; 0 is
a. zero
b. -0.5
c. 0.5
d. one

28. Z is a standard normal random variable. The P(-1.96 &#61603; Z &#61603; -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 mean of 200 pounds and a standard deviation of 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 &#61617;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.

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