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Points: 0.33 of 1 The length of human pregnancies is approximately normal with mean p = 266 days and standard deviation o = 16 days.

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Points: 0.33 of 1 The length of human pregnancies is approximately normal with mean p = 266 days and standard deviation o = 16 days. Complete parts (a) through (f) (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 10 pregnancies has a mean gestation period of 260 days or less? The probability that the mean of a random sample of 10 pregnancies is less than 260 days is approximately 0.1178 (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 = 10 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 260 days or more. B. If 100 independent random samples of size n = 10 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 260 days. C. If 100 independent random samples of size n = 10 pregnancies were obtained from this population, we would expect 12 sample(s) to have a sample mean of 260 days or less. (d) What is the probability that a random sample of 41 pregnancies has a mean gestation period of 260 days or less? The probability that the mean of a random sample of 41 pregnancies is less than 260 days is approximately (Round to four decimal places as needed.)

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