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Assume that? women's heights are normally distributed with a mean given by μ=62.6 in?, and a standard deviation given by sigma σ=2.2 in.

?(a) If 1 woman is randomly? selected, find the probability that her height is less than 63 inches.

?(b) If 38 women are randomly? selected, find the probability that they have a mean height less than 63 inches.

?(?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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