(c) [4 points] Find u and of so that Pr(X

g ana so Problem 3 [12 Points): The average height of a woman is increasing from 1960 to 2002. The average height of a woman aged 20-74 years is 68 inches in 2002. Suppose the height of a woman is normally distributed with a standard deviation of 2 inches. (a) [4 Points] What is the probability a randomly selected woman in this population is between 62 inches and 74 inches? (b) [4 Points] What are the quartiles of this distribution? (c) [4 points) Determine a and b, which is symmetric about the mean and Pr(a < X < (d) (4 points) What is the probability that five womln selected at random from this population all exceed 72 inches?