| September 13, 2016

Question
Assume that women’s heights are normally distributed with a mean given by μ=63.4in, and a standard deviation given by σ=2.4in.

(a) If 1 woman is randomly selected, find the probability that her height is less than 64 in.

(b) If 30 women are randomly selected, find the probability that they have a mean height less than 64 in.

(a) The probability is approximately
(Round to four decimal places as needed.)

(b) The probability is approximately

(Round to four decimal places as needed.)

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