Question

Assume that military aircraft use ejection seats designed for men weighing between

140.1

lb and

201

lb. If​ women's weights are normally distributed with a mean of

162.5

lb and a standard deviation of

48.3

​lb, what percentage of women have weights that are within those​ limits? Are many women excluded with those​ specifications?

The percentage of women that have weights between those limits is

nothing​%.

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

Are many women excluded with those​ specifications?

A.

​Yes, the percentage of women who are​ excluded, which is equal to the probability found​ previously, shows that about half of women are excluded.

B.

​Yes, the percentage of women who are​ excluded, which is the complement of the probability found​ previously, shows that about half of women are excluded.

C.

​No, the percentage of women who are​ excluded, which is the complement of the probability found​ previously, shows that very few women are excluded.

D.

​No, the percentage of women who are​ excluded, which is equal to the probability found​ previously, shows that very few women are excluded.

Answer 1

Given that X follows a Normal distribution with mean = μ = 162.5 and standard deviation-ơ-483. Then z-X- u_X - 162.:5 follows Standard Normal. 48.3 P(140.1< X < 201)-P(X 201) - P(X < 140.1) P43232012P3023140 4030) x-162.5 140.1-162.5 48.3 48.3 48.3 48.3 -P(Z < 0.8)-P(Z <-0.46) -0.7881-0.3228 -0.4653 46.53% Are many women excluded with those specifications? Yes, the percentage of women who are excluded, which is the complement of the probability found previously, shows that about half of women are excluded.