an elevator has a placard stating that the maximum capacity is 1336 lb—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1336/8=167 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 167 lb. ( Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 26 lb) Does this 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
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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an elevator has a placard stating that the maximum capacity is 1336 lb—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1336/8=167 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 167 lb. ( Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 26 lb) Does this elevator appear to be safe?
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