The height of adult women in the United States is normally distributed with mean 64.5 inches and standard deviation 2.4 inches. Find the probability that a randomly chosen woman is
(a) Less than 63 inches tall
(b) Less than 70 inches tall
(c) Between 63 and 70 inches tall
(d) Alice is 72 inches tall. What percentage of women are shorter than Alice?
(e) Find the probability that the average of the heights of two randomly chosen women is greater than 67.5 inche
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