A survey found that women’s height are normally distributed with mean 63.4 in and standard deviation 2.9 in. the survey also found that men’s heights are normally distributed with a mean 67.7 in. and standard deviation 2.9.
a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 8in. 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 ?
b. Find the percentage of men meeting the height requirement.
The percentage of men meeting the height requirement is ?
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 ___in. and at most ___in.