Assume that women's heights are normally distributed with a mean given by μ = 64.5 in, and a standard deviation given by a = 2.7 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) If 44 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.) ***

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