An elevator has a placard stating that the maximum capacity is 2280 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2280/15=152 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 152 lb.​ (Assume that weights of males are normally distributed with a mean of 161 lb and a standard deviation of 25 lb​.) Does this elevator appear to be​ safe? The probability the elevator is overloaded is nothing. ​(Round to four decimal places as​ needed.) Does this elevator appear to be​ safe?     A. ​No, there is a good chance that 15 randomly selected people will exceed the elevator capacity.   B. ​Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.   C. ​No, 15 randomly selected people will never be under the weight limit.   D. ​Yes, 15 randomly selected people will always be under the weight limit.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Student:N/A
Date: 10/22/20
Instructor: Mehdi Safaee
Course: Fall 2020 - Elementary Statistics (MW)
Assignment: Math 160 Homework 3 Chapter 6, 7, and 8
17.
An elevator has a placard stating that the maximum capacity is
2280
lb—15
passengers.​ So,
15
adult male passengers can have a mean weight of up to
2280/15=152 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
152
lb.​ (Assume that weights of males are normally distributed with a mean of
161 lb
and a standard deviation of
25 lb​.)
Does this elevator appear to be​ safe?
The probability the elevator is overloaded is
nothing.
​(Round to four decimal places as​ needed.)
Does this elevator appear to be​ safe?
 
 
A.
​No, there is a good chance that
15
randomly selected people will exceed the elevator capacity.
 
B.
​Yes, there is a good chance that
15
randomly selected people will not exceed the elevator capacity.
 
C.
​No,
15
randomly selected people will never be under the weight limit.
 
D.
​Yes,
15
randomly selected people will always be under the weight limit.
 

 

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