The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean μ=267 days and standard deviation σ=16 days. ​(a) What proportion of pregnancies lasts more than 279 ​days? ​(b) What proportion of pregnancies lasts between 247 and 275 ​days? ​(c) What is the probability that a randomly selected pregnancy lasts no more than 243 ​days? ​ A​ "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies​ unusual? ​(Round to four decimal places as​ needed.)

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The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean
μ=267 days and standard deviation σ=16 days.
 
​(a) What proportion of pregnancies lasts more than 279 ​days?
 
​(b) What proportion of pregnancies lasts between 247 and 275 ​days?
 
​(c) What is the probability that a randomly selected pregnancy lasts no more than 243 ​days?
 
​ A​ "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies​ unusual?
 
 
 
 
​(Round to four decimal places as​ needed.)
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