An elevator has a placard stating that the maximum capacity is 1320 lb-8 passengers. So, 8 adult male passengers can have a mean weight of up to 1320/8 = 165 pounds. If the elevator is loaded with 8 adult male passenge find the probability that it is overloaded because they have a mean weight greater than 165 lb. (Assume that weights of males are normally distributed with a mean of 168 Ib and a standard deviation of 28 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An elevator has a placard stating that the maximum capacity is 1320 lb—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1320 / 8 = 165 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. (Assume that weights of males are normally distributed with a mean of 168 lb and a standard deviation of 28 lb.) Does this elevator appear to be safe?

The probability the elevator is overloaded is [ ].  
(Round to four decimal places as needed.)
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 1320 lb—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1320 / 8 = 165 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. (Assume that weights of males are normally distributed with a mean of 168 lb and a standard deviation of 28 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is [ ]. (Round to four decimal places as needed.)
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