Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p = 162 days and standard deviation o = 15 days. Complete parts (a) through (f) below (a) What is the probability that a randomly selected pregnancy lasts less than 157 days? The probability that a randomly selected pregnancy lasts less than 157 days is approximately (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.) O A. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 157 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 157 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 157 days (b) Suppose a random sample of 19 pregnancies is obtained Describe the sampling distribution of the sample mean length of pregnancies The sampling distribution of x is with py = and of =] (Round to four decimal places as needed ) (c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 157 days or less? The probability that the mean of a random sample of 19 pregnancies is less than 157 days is approximately (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 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 157 days O B. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 157 days or less Click to select your answer(s)