The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). (D) Suppose a random sample of 41 numan pregnancies is obtained. Describe ine sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with u- = 266 and o; = 2.4988 . (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 41 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 41 pregnancies is less than 262 days is approximately 0.0547. (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 = 41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more. B. If 100 independent random samples of size n = 41 pregnancies were obtained from this population, we would expect 5 sample(s) to have a sample mean of 262 days or less. C. If 100 independent random samples of size n = 41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days. (d) What is the probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 106 pregnancies is less than 262 days is approximately 0.0051 . (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 = 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or less. O B. If 100 independent random samples of size n = 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more. C. If 100 independent random samples of size n = 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days