What is the probability of randomly selected pregnancy

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Suppose the average lengths of pregnancies for women in Central City are approximately normally distributed with mean µ equals 287 days and standard deviation s equals 15 days. This is 7 days longer than the US national average.

a. What is the probability that a randomly selected pregnancy lasts less than 280 days?

b. Suppose a random sample of 20 pregnancies is obtained. Calculate the sample mean and sample standard deviation.

c. What is the probability that a random sample of 20 pregnancies has a mean gestation period of 280 days or less?

d. What is the probability that a random sample of 55 pregnancies has a mean gestation period of 280 days or less?

Reference no: EM132866231

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