Assume that women's heights are normally distributed with a mean given by u = 64.1 in, and a standard deviation given by o = 3.1 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) If 47 women are randomly selected, find the probability that they have a mean height less than 65 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.)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume that women's heights are normally distributed with a mean given by u = 64.1 in, and a standard deviation given by
o = 3.1 in.
(a) if 1 woman is randomly selected, find the probability that her height is less than 65 in.
(b) If 47 women are randomly selected, find the probability that they have a mean height less than 65 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.)
Transcribed Image Text:Assume that women's heights are normally distributed with a mean given by u = 64.1 in, and a standard deviation given by o = 3.1 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) If 47 women are randomly selected, find the probability that they have a mean height less than 65 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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