A survey found thatwomen's heights are normally distributed with mean 62.9 in. and standard deviation 2.9 in. The survey also found thatmen's heights are normally distributed with a mean 67.2 in. and standard deviation 2.9. Complete parts a through c below.

a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 4 in. Find the percentage of women meeting the height requirement.

The percentage of women who meet the height requirement is %.

(Round to two decimal places asneeded.)

b. Find the percentage of men meeting the height requirement.

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

(Round to two decimal place asneeded.)

c. If the height requirements are changed to exclude only the tallest5% of men and the shortest5% ofwomen, what are the new heightrequirements?

The new height requirements are at least in. and at most in.

(Round to one decimal place asneeded.)