Female heights. Assume that the height of an American female is Normal with expected value µ = 64 and standard deviation σ = 2.5.
a. What is the probability that an American female's height is 66 inches or taller?
b. The heights of 10 American females are measured (in inches). Let Y be the number of the 10 females whose height is 66 inches or taller. Find P(Y = 7). What is the distribution of Y ?