The following letter was written to a well-known dispenser of advice to the lovelorn (171): Dear Abby:

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The following letter was written to a well-known dispenser of advice to the lovelorn (171):
Dear Abby: You wrote in your column that a woman is pregnant for 266 days. Who said so? I carried my baby for ten months and five days, and there is no doubt about it because I know the exact date my baby was conceived. My husband is in the Navy and it couldn't have possibly been conceived any other time because I saw him only once for an hour, and I didn't see him again until the day before the baby was born.
I don't drink or run around, and there is no way this baby isn't his, so please print a retraction about the 266-day carrying time because otherwise I am in a lot of trouble.
Whether or not San Diego Reader is telling the truth is a judgment that lies beyond the scope of any statistical analysis, but quantifying the plausibility of her story does not. According to the collective experience of generations of pediatricians, pregnancy durations, Y, tend to be normally distributed with μ = 266 days and σ = 16 days. Do a probability calculation that addresses San Diego Reader's credibility. What would you conclude?
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