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One Classic Use of the Normal Distribution Is Inspired by a Letter

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One classic use of the normal distribution is inspired by a letter to Dear Abbey in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the Navy. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. Given this information. (i) the probability of a pregnancy lasting 308 days or longer is 0.0038.
(ii. The result suggests that the husband is the father of the child.


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