Assume that​ women's heights are normally distributed with a mean given by mu equals 62.2 in​,...

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Assume that​ women's heights are normally distributed with amean given by mu equals 62.2 in​, and a standard deviation given bysigma equals 1.9 in.

Complete parts a and b.

a. If 1 woman is randomly​ selected, find the probability thather height is between 61.9 in and 62.9 in. The probability isapproximately nothing. ​(Round to four decimal places as​needed.)

b. If 14 women are randomly​ selected, find the probability thatthey have a mean height between 61.9 in and 62.9 in. Theprobability is approximately nothing. ​(Round to four decimalplaces as​ needed.)

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