A survey found thatwomen's heights are normally distributed with mean 62.5 in. and standard deviation 2.6 in. The survey also found thatmen's heights are normally distributed with mean 68.1 in. and standard deviation 3.2 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 amusementpark?

The percentage of men who meet the height requirement is what %.

(Round to two decimal places asneeded.)

Most men DO NOT MEET OR MEET the heightrequirement, it is likely that most of the characters are WOMEN OR MEN?

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 and a maximum of