adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 161 lb.​ (Assume that weights of males are normally distributed with a mean of 167 lb and a standard deviation of 26 lb​.) Does this elevator appear to be​ safe?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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An elevator has a placard stating that the maximum capacity is

2415
lb—15

passengers.​ So,

15

adult male passengers can have a mean weight of up to

2415/15=161 pounds.

If the elevator is loaded with

15

adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than

161

lb.​ (Assume that weights of males are normally distributed with a mean of

167 lb

and a standard deviation of

26 lb​.)

Does this elevator appear to be​ safe? 

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