Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p = 162 days and standard deviation o = 12 days. Complete parts (a) through (1) below. (a) What is the probability that a randomly selected pregnancy lasts less than 158 days? The probability that a randomly selected pregnancy lasts less than 158 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 158 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 158 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 158 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies The sampling distribution of x is with u = and ox =[ (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 158 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 158 days is approximately