Ejection seats designed for men weighing

Assume that military aircraft use ejection seats designed for men weighing between 139 lb and 205 lb. If? women's weights are normally distributed with a mean of 174.5 lb and a standard deviation of 47.2 ?lb,

what percentage of women have weights that are within those? limits?

A survey found that? women's heights are normally distributed with mean 62.7 in. and standard deviation 3.3 in. The survey also found that? men's heights are normally distributed with mean 68.6 in. and standard deviation 3.9 in. Consider an executive jet that seats six with a doorway height of 56.5 in. Complete parts? (a) and (b)

a. What percentage of adult men can fit through the door without? bending?

b. What doorway height would allow? 40% of men to fit without? bending?

Assume that females have pulse rates that are normally distributed with a mean μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts? (a) and (b)

a.. If 1 adult female is randomly? selected, find the probability that her pulse rate is less than 81 beats per minute.

b. If 25 adult females are randomly? selected, find the probability that they have pulse rates with a mean less than 81 beats per minute.