An elevator has a placard stating that the maximum capacity is 1944 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1944/12 = 162 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 162 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 26 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 1944 lb — 12 passengers. So, 12 adult male passengers can have a mean weight of up to 1944/12 = 162 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 162 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 26 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 1944 lb — 12 passengers. So, 12 adult male passengers can have a mean weight of up to 1944/12 = 162 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 162 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 26 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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