C) what is the possibility that a random sample of 47 pregnancies has a mean gestation period of 262 days or less?Interpret this probability D) what is the probability that a random sample of 103 is less than 262 days is approximately Interpret this probability E) what made to conclude with a random sample of 103 pregnancy resulted in a mean gestation period of 262 days or lessF) What is the probability a random sample of size 17 will have a mean gestation period within 11 days of the mean?

The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). . . . (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 (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 expect pregnancies to last exactly 262 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 262 days. (b) Suppose a random sample of 47 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with p- = and o= =