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The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a)Ifonepregnant woman is randomly selected,

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

(a)Ifonepregnant woman is randomly selected, find the probability that her length of pregnancy is less than 250 days.

(b)If25pregnant woman arerandomly selected, find the probability that theirlengths of pregnancy has ameanthatis less than 250 days.

For each problem, show your calculator input and round to three significant figures.

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