Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean =291 days and standard deviation =27 days. Complete parts (a) through (f) below.

(a) What is the probability that a randomly selected pregnancy lasts less than 281 days? The probability that a randomly selected pregnancy lasts less than 281 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.)

A. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last more than 281 days. B. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last less than 281 days.

C. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last exactly 281 days.

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is ( skewed left normal skewed right )with x=___ and x=_______ (Round to four decimal places as needed.)

(c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 281 days or less? The probability that the mean of a random sample of 17 pregnancies is less than 281 days is approximately nothing. (Round to four decimal places as needed.)