Question

A survey found that​ women's heights are normally distributed with mean 62.5

in. and standard deviation 2.7

in. The survey also found that​ men's heights are normally distributed with a mean 67.9

in. and standard deviation 2.8
.
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 2

in. Find the percentage of women meeting the height requirement.
The percentage of women who meet the height requirement is nothing
​%.
​(Round to two decimal places as​ needed.)
b. Find the percentage of men meeting the height requirement.
The percentage of men who meet the height requirement is nothing
​%.
​(Round to two decimal places as​ needed.)
c. If the height requirements are changed to exclude only the tallest​ 5% of men and the shortest​ 5% of​ women, what are the new height​ requirements?
The new height requirements are at least nothing

in. and at most nothing

in.
​(Round to one dec

Answer 1

recipe is here:

http://davidmlane.com/hyperstat/z_table.html