1) Suppose the lengths of the pregnancies of a certain animal are approximately normally distributes with the mean µ = 296 days and standard deviation σ = 26 days.

a) What is the probability that a random selected pregnancy lasts less than 288 days?

The probability that a randomly selected pregnancy lasts less than 288 days is approximately ___________? (round to four decimals as needed)

b) What is the probability that a random sample of 29 pregnancies has a mean gestation period of 288 days or less?

The probability that the mean of a random sample of 29 pregnancies is less that 288 days is approximately _______? (round to four decimals as needed)

c) What is the probability that a random sample of 57 pregnancies has a mean gestation period of 288 days or less?

The probability that the mean of a random sample of 57 pregnancies is less that 288 days is approximately ________? (round to four decimals as needed)

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