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The lengths of pregnancies in number of days are normally distributed with a mean of 268 days and a standard deviation of 15 days. Answer the following problems and show your work.

a. If a pregnancy length is randomly taken from this distribution, what is the probability that the length of that pregnancy is less than 260 days?

b. If a sample of 25 pregnancies is taken from this distribution, what is the probability that their mean will be less than 260 days?

b. describe why these two answers (from a and b) are different.

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Category:- Statistics and Probability
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