A survey found that​ women's heights are normally distributed with mean 62.9 in. and standard deviation 2.5 in. The survey also found that​ men's heights are normally distributed with mean 68.5 in....

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

62.9 in. and standard deviation

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

68.5 in. and standard deviation

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

57 in. and a maximum of

63 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?