Question

A survey found that women's heights are normally distributed with mean 62.6 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with mean 67.1 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 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?

Answer 1

Hello Sir/ Mam

Given that:

Men's height are normally distributed with mean = 67.1 and standard deviation = 3.4

The height requirement range is 56 inch to 64 inch

Hence,

Hence,

Hence, only 18.04% men qualify for the job.

This suggests that the majority of the workers employed at amusement park are women as apparently, more of the women qualify for the job.

I hope this solves your doubt.

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