A survey found that​ women's heights are normally distributed with mean 62.3 in. and standard deviation 3.1 in. The survey also found that​ men's heights are normally distributed with mean 67.8 in....

A survey found that​ women's heights are normally distributed with mean

in. and standard deviation

in. The survey also found that​ men's heights are normally distributed with mean

in. and standard deviation

in. Most of the live characters employed at an amusement park have height requirements of a minimum of

in. and a maximum of

in. Complete parts​ (a) and​ (b) below.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park