A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 3.3 in. The survey also found that men's heights are normallydistributed with mean 68.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56in. and a maximum of 64 in. Complete parts (a) and (b) below.ara. 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 theamusement park?The percentage of men who meet the height requirement is%.Qu(Round to two decimal places as needed.)Since most menthe height requirement, it is likely that most of the characters areb. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?The new height requirements are a minimum of(Round to one decimal place as needed.)in, and a maximum of in.

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Description: A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 3.3 in. The survey also found that men's heights are normallydistributed with mean 68.7 in. and standard deviation 3.6 in. Most of the live charac

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 3.3 in. The survey also found that men's heights are normally
distributed with mean 68.7 in. and standard deviation 3.6 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.
ar
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
%.
Qu
(Round to two decimal places as needed.)
Since most men
the height requirement, it is likely that most of the characters are
b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
The new height requirements are a minimum of
(Round to one decimal place as needed.)
in, and a maximum of in.

Expert Solution

Step 1

Let the random variable X denotes women's heights and are normally distributed with mean 63.2 in. and standard deviation 3.3 in.

Let the random variable Y denotes men's heights and are normally distributed with mean 68.7 in. and standard deviation 3.6 in.

And also given that 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.

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