Assume that military aircraft use ejection seats designed for men weighing between 146 lb and 212 lb. If women's weights are normally distributed with a mean of 173.3 lb and a standard deviation of 41.7 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications?

56.69% of women belong within the given limits of seats. Yes, a majority of 43.31% of women are excluded with those specifications.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 173.3 lb

Standard Deviation, σ = 41.7 lb

We are given that the distribution of women's weight is a bell shaped distribution that is a normal distribution.

Formula:

P(weighing between 146 lb and 212 lb)

Thus, 56.69% of women belong within the given limits of seats. Yes, a majority of 43.31% of women are excluded with those specifications.

step-by-step explanation: