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The length of human pregnancies is approximately normal with mean u=266 days and standard deviation a 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. If 100 pregnant individuals were selected independently from this population, we would expect 38 pregnancies to last less than 261 days. B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 261 days. C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 261 days. (b) Suppose a random sample of 35 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with = 266 and a = 16 (Round to four decimal places as needed.) (c) What is the probability that a random sample of 35 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 35 pregnancies is less than 261 days is (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-35 pregnancies were obtained from this population, we would expect B. If 100 independent random samples of size n= 35 pregnancies were obtained from this population, we would expect C. If 100 independent random samples of size n 35 pregnancies were obtained from this population, we would expect (d) What is the probability that a random sample of 71 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 71 pregnancies is less than 261 days is (Round to four decimal places as needed.) sample(s) to have a sample mean of 261 days or more. sample(s) to have a sample mean of exactly 261 days. sample(s) to have a sample mean of 261 days or less. 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=71 pregnancies were obtained from this population, we would expect B. If 100 independent random samples of size n=71 pregnancies were obtained from this population, we would expect C. Ir 100 independent random samples of size n71 pregnancies were obtained from this population, we would expect (e) What might you conclude if a random sample of 71 pregnancies resulted in a mean gestation period of 261 days or less? This result would be so the sample likely came from a population whose mean gestation period is (f) What is the probability a random sample of size 17 will have a mean gestation period within 11 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 11 days of the mean is 266 days sample(s) to have a sample mean of 261 days or less. sample(s) to have a sample mean of exactly 261 days. sample(s) to have a sample mean of 261 days or more.