An elevator has a placard stating that the maximum capacity is 2490lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2490/15=166 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 166 lb. (Assume that weights of males are normally distributed with a mean of 174 lb and a standard deviation of 34 lb.)Does this elevator appear to be safe? The probability the elevator is overloaded is ____ ?
An elevator has a placard stating that the maximum capacity is 2490lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2490/15=166 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 166 lb. (Assume that weights of males are normally distributed with a mean of 174 lb and a standard deviation of 34 lb.)Does this elevator appear to be safe? The probability the elevator is overloaded is ____ ?
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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An elevator has a placard stating that the maximum capacity is 2490lb—15
passengers. So, 15 adult male passengers can have amean weight of up to
passengers. So, 15 adult male passengers can have a
2490/15=166 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 166 lb. (Assume that weights of males are normally distributed with a mean of 174 lb and a standard deviation of
34 lb.)Does this elevator appear to be safe?
The probability the elevator is overloaded is ____ ?
Expert Solution
Step 1
From the provided information,
Mean (µ) = 174 lb
Standard deviation (σ) = 34 lb
Let X be a random variable which represents the weight of male.
X~N (174, 34)
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