The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). (a) What is the probability that a randomly selected pregnancy lasts less than 259 days? The probability that a randomly selected pregnancy lasts less than 259 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 259 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 259 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 259 days. (b) Suppose a random sample of 18 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with My and ox = (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 259 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 259 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 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 259 days or more. O B. If 100 independent random samples of size n= 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 259 days. O C. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 259 days or less (d) What is the probability that a random sample of 30 pregnancies has a mean gestation period of 259 days or less? The probability that the mean of a random sample of 30 pregnancies is less than 259 days is approximately (Round to four decimal places as needed )