# Question

Suppose that the height of a typical American female is normally distributed with µ = 64 inches and σ = 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.

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.

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