A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with a mean 68.1 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 \( 99.62 \% \). (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 \( 98.26 \% \). (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 \( \square \) in and at most \( \square \) in]. (Round to one decimal place as needed)
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