An elevator has a placard stating that the maximum capacity is 2385 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2385/ 15 = 159 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 159 lb. (Assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 27 Ib.) Does this elevator appear to be safe?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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An elevator has a placard stating that the maximum capacity is 2385 Ib-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2385/ 15 = 159 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 159 lb. (Assume that weights of males are normally distributed with
a mean of 165 lb and a standard deviation of 27 Ib.) Does this elevator appear to be safe?
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 2385 Ib-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2385/ 15 = 159 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 159 lb. (Assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 27 Ib.) Does this elevator appear to be safe?
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