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

140

lb and

181

lb. Weights of women are now normally distributed with a mean of

163lb

and a standard deviation of

43lb.

Complete parts (a) through (c) below.

Question content area bottom

Part 1

a. If 1 woman is randomly selected, find the probability that her weight is between

140

lb and

181

lb.

The probability is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 2

b. If

27

different women are randomly selected, find the probability that their mean weight is between

140

lb and

181

lb.

The probability is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 3

c. When redesigning the ejection seat, which probability is more relevant?