A survey found that​ women's heights are normally distributed with mean 62.4 in. and standard deviation 2.3 in. The survey also found that​ men's heights are normally distributed with mean 68.1 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts​ (a) and​ (b) below.       a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park?   The percentage of men who meet the height requirement is 5.195.19​%. ​(Round to two decimal places as​ needed.) Since most men     meet do not meet the height​ requirement, it is likely that most of the characters are     women. men.

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A survey found that​ women's heights are normally distributed with mean
62.4
in. and standard deviation
2.3
in. The survey also found that​ men's heights are normally distributed with mean
68.1
in. and standard deviation
3.8
in. Most of the live characters employed at an amusement park have height requirements of a minimum of
57
in. and a maximum of
62
in. Complete parts​ (a) and​ (b) below.
 
 
 
a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park?
 
The percentage of men who meet the height requirement is
5.195.19​%.
​(Round to two decimal places as​ needed.)
Since most men
 
 
meet
do not meet
the height​ requirement, it is likely that most of the characters are
 
 
women.
men.
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