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According to one study among a certain group, pregnancy lengths are approximately normally distributed with a...

According to one study among a certain group, pregnancy lengths are approximately normally distributed with a mean of 267 days and a standard deviation of 7 days. Approximately 12.7% of babies are premature, which means that they are born before 37 weeks in the pregnancy. A random sample of 75 pregnant women from this group is observed and the length of each pregnancy is recorded. Let X be the number of premature babies born to these mothers. What is the probability that more than 10 premature babies are born to these mothers? (do not round the answer)

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