A survey found thatwomen's heights are normally distributed with mean 62.7 in. and standard deviation 2.1 in. The survey also found thatmen's heights are normally distributed with mean 67.5 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 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 amusementpark?

The percentage of men who meet the height requirement is_____

b. If the height requirements are changed to exclude only the tallest50% of men and the shortest5% ofmen, what are the new heightrequirements?

The new height requirements are a minimum of ____ in. and a maximum of ___