The length of human pregnancies is approximately normal with mean =266 days and standard deviation = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected pregnancy lasts less than 262 days? The probability that a randomly selected pregnancy lasts less than 262 days is approximately 0.4013. (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.) OA. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 262 days. OB. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. C. If 100 pregnant individuals were selected independently from this population, we would expect 40 pregnancies to last less than 262 days. (b) Suppose a random sample of 20 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with =266 and = 3.5777. normal (Round to four decimal places as needed.) (c) What is the probability that a random sample of 20 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 20 pregnancies is less than 262 days is (Round to four decimal places as needed.)