Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=287 days and standard deviation σ=16 days. Complete parts​ (a) through​ (f) below. ​(a) What is the probability that a randomly selected pregnancy lasts less than 281 ​days

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean
μ=287 days
and standard deviation
σ=16 days.
Complete parts​ (a) through​ (f) below.
​(a) What is the probability that a randomly selected pregnancy lasts less than
281
​days?
 
 
 
​(c) What is the probability that a random sample of
20
pregnancies has a mean gestation period of
281
days or​ less?
 
The probability that the mean of a random sample of
20 pregnancies is less than 281 days is approximately ________.
​(Round to four decimal places as​ needed.)
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