The lengths of pregnancies are normally distributed with a mean of 268 days and

Question

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. 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 premature. Click to view page 1 of the table, Click to view page 2 of the table a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.)

Explanation / Answer

z = (x-mu)/sigma

Z = (308-268)/15

Z = 2.66667

Prob(z > 2.66667) from a z table:

0.0038

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