The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.   a. The probability that a pregnancy will last 309 days or longer is ___   ​(Round to four decimal places as​ needed.)   b. Babies who are born on or before ___ days are considered premature. ​(Round to the nearest integer as​ needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.
 
a. The probability that a pregnancy will last 309 days or longer is ___
 
​(Round to four decimal places as​ needed.)
 
b. Babies who are born on or before ___ days are considered premature.
​(Round to the nearest integer as​ needed.)
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