When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 150lb and 191lb. Weights of women are now normally distributed with a mean of 172Ib and a standard deviation of 41lb. Complete parts (a) through (c) below a. If 1 woman is randomly selected, find the probability that her weight is between 150Ib and 191Ib. The probability is approximately 3826 . (Round to four decimal places as needed.) b. If 27 different women are randomly selected, find the probability that their mean weight is between 150 lb and 191lb The probability is approximately (Round to four decimal places as needed.).

1. When women were finally allowed to become pilots of fighter jets, engineers needed to redesign
the ejection seats because they had been originally designed for men only. The ejection seats
were designed for men weighing between 150lb and 191lb. Weights of women are now normally
distributed with a mean of 172Ib and a standard deviation of 41lb. Complete parts (a) through (c)
below a. If 1 woman is randomly selected, find the probability that her weight is between 150Ib and
191Ib. The probability is approximately 3826 . (Round to four decimal places as needed.) b. If 27
different women are randomly selected, find the probability that their mean weight is between 150
lb and 191lb The probability is approximately (Round to four decimal places as needed.)