6) A survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with a mean 68.3 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 3 in. Find the percentage of women meeting the height requirement. ________ (Round to two decimal places as needed.)
(b) find the percentage of men meeting the height requirement? _______
(c) if the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what the are the new height requirements?
at least ______
at most ______
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