The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. In a letter to an advice column, a wife claimed to have given birth 309 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 309 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.)

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The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days.
a. In a letter to an advice column, a wife claimed to have given birth 309 days after a brief visit from her husband, who was working in another
country. Find the probability of a pregnancy lasting 309 days or longer. What does the result suggest?
b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are
not considered premature.
a. The probability that a pregnancy will last 309 days or longer is
(Round to four decimal places as needed.)
Transcribed Image Text:The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. In a letter to an advice column, a wife claimed to have given birth 309 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 309 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.)
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