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 130 lb and 171 lb. Weights of women are now normally distributed with a mean of 169 lb and a standard deviation of 48 lb. Complete parts (a) through (c) below.

a. If 29 women is randomly selected, find the probability that their mean weight is between 130 lb and 171 lb.

The probability is approximately