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In: Statistics and Probability

The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean muμequals=273 days and...

The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean

muμequals=273

days and standard deviation

sigmaσequals=20 days.​(a) What proportion of pregnancies lasts more than 308 d​ays?​(b) What proportion of pregnancies lasts between 248 and 288 ​days ​(c) What is the probability that a randomly selected pregnancy lasts no more than 268 ​days? ​(d) A​ "very preterm" baby is one whose gestation period is less than

243 days. Are very preterm babies​ unusual?

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