Question

Suppose that out of 100 million men in the United States, 23000 are

at least 7 feet tall. Suppose that the heights of U.S. men are

independent Gaussian random variables with an expected value of

5’10”. a. Calculate ????, the standard deviation of the height of

men in the United States. b. Use the table for the function Φ(??)

to calculate what is the probability that a randomly chosen man is

at least 8 feet tall? c. What is the probability that there is no

man alive in the US today that is at least 7’6” tall? d. Let ?

equal the number of men who are at least 7’6” tall. What is ?[?]?

e. Obtain the PMF of ?, that is ??[?].

Answer 1