Question: Suppose that the height of an American female is normally distributed with a mean of 64 inches and a standard deviation of 4 inches. We observe the height of 500 American females.
A. What is the probability that fewer than 35 of the 500 women will be less than 58 inches tall?
B. Let X be the number of the 500 women who are less than 58 inches tall. Find the mean and standard deviation of X.