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

150150

lb and

201201

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

162 lb162lb

and a standard deviation of

41 lb41lb.

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

150150

lb and

201201

lb.

The probability is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 2

b. If

3030

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

150150

lb and

201201

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?

A.

The part (a) probability is more relevant because the seat performance for a sample of pilots is more important.

B.

The part (a) probability is more relevant because the seat performance for a single pilot is more important.

C.

The part (b) probability is more relevant because the seat performance for a sample of pilots is more important.

D.

The part (b) probability is more relevant because the seat performance for a single pilot is more important.