An elevator has a placard stating that the maximum capacity is 2430 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2430/15=162 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 162 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 32 lb.)
An elevator has a placard stating that the maximum capacity is 2430 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2430/15=162 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 162 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 32 lb.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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An elevator has a placard stating that the maximum capacity is
2430
lb—15
passengers. So,
15
adult male passengers can have a mean weight of up to
2430/15=162 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
162
lb. (Assume that weights of males are
171 lb
and a standard deviation of
32 lb.)
Does this elevator appear to be safe?
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