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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