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In: Statistics and Probability

Assume that​ women's heights are normally distributed with a mean given by mu=64.4 in ​, and...

Assume that​ women's heights are normally distributed with a mean given by mu=64.4 in ​, and a standard deviation given by sigma=1.8 in . Complete parts a and b.

a. If 1 woman is randomly​ selected, find the probability that her height is between 64.2 in and 65.2 in. The probability is approximately ? . ​(Round to four decimal places as​ needed.)

b. If 14 women are randomly​ selected, find the probability that they have a mean height between 64.2 in and 65.2 in. The probability is approximately ? . ​(Round to four decimal places as​ needed.)

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