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Assume that women's heights are normally distributed with a mean given by = 6 3 . 3 i n , and a standard deviation given

Assume thatwomen's heights are normally distributed with a mean given by =63.3in,and a standard deviation given by=2.8in.

(a) If 1 woman is randomlyselected, find the probability that her height is less than 64in.

(b) If 44women are randomlyselected, find the probability that they have a mean height less than 64in.

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