Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p = 116 days and standard deviation o =

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p = 116 days and standard deviation o = 11 days. Complete parts (a) through (f) below.(a) What is the probability that a randomly selected pregnancy lasts less than 112 days?The probability that a randomly selected pregnancy lasts less than 112 days is approximately 0.3594 . (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 pregnant individuals were selected independently from this population, we would expectpregnancies to last more than 112 days.B. If 100 pregnant individuals were selected independently from this population, we would expect 36 pregnancies to last less than 112 days.O C. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last exactly 112 days.(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.The sampling distribution of x iswith u= = and of = _(Round to four decimal places as needed.)