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The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation

The length of human pregnancies from conception to birth varies according to a distribution that is approximately

Normal with mean 266 days and standard deviation 16 days. Choose two pregnancies independently and at random.

(a) What is the expected difference in the lengths of the two pregnancies?

(b) What is the standard deviation of the difference in the lengths of the two pregnancies?

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