Please see an attachment for details Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 239 days and standard deviation 0′ = 19 days. Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1); Click here to view the standard normal distribution table (Egg); 1′ ….. E (a) What is the probability that a randomly selected pregnancy lasts less than 232 days? The probability that a randomly selected pregnancy lasts less than 232 days is approximately 0.3563 . (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.) ‘VA- If 100 pregnant individuals were selected independently from this population, we would expect 36 pregnancies to last less than 232 days. 3- If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 232 days. 9- If 100 pregnant individualswere selected independently from this population, we would expect pregnancies to last exactly 232 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of i is normal with “i = 239 and c; = 4.4783 . (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 232 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 232 days is approximately |:. (Round to four decimal places as needed.) … Show moreMathStatistics and Probability STA 2122
