An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers.​ So, 28 adult male passengers can have a mean weight of up to 4300/28= 154 pounds Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 28lb.

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 4300 lb-28 passengers.​ So, 28 adult male passengers can have a mean weight of up to 4300/28= 154 pounds Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 28lb.
a. Find the probability that 1 randomly selected adult male has a weight greater than 154 lb.
b. Find the probability that a sample of  28 randomly selected adult males has a mean weight greater than 154  lb.
c. What do you conclude about the safety of this​ elevator?

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