A survey found thatwomen's heights are normally distributed with mean 62.7 in. and standard deviation 2.5 in. The survey also found thatmen's heights are normally distributed with mean 68.5 in. and standard deviation 3.5 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 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

%.

(Round to two decimal places asneeded.)

Since most men meet

the heightrequirement, it is likely that most of the characters are 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

nothing

in. and a maximum of

in.

(Round to one decimal place asneeded.)