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...

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

lb and

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

and a standard deviation of

Complete parts​ (a) through​ (c) below.

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

lb and

lb.

The probability is approximately

​(Round to four decimal places as​ needed.)

b. If

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

lb and

lb.

The probability is approximately

​(Round to four decimal places as​ needed.)

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