An elevator has a placard stating that the maximum capacity is 2112 lb—12 passengers.​ So, 12 adult male passengers can have a mean weight of up to 2112/12=176 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 176 lb.​ (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 29 lb​.)  a) The probability the elevator is overloaded is? ___ b) Does the elevator appear to be safe?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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An elevator has a placard stating that the maximum capacity is 2112 lb—12 passengers.​ So, 12 adult male passengers can have a mean weight of up to 2112/12=176 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 176 lb.​ (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 29 lb​.) 

a) The probability the elevator is overloaded is? ___

b) Does the elevator appear to be safe?

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