An elevator has a placard stating that the maximum capacity is 1630 lb—10 passengers. So, 10 adult male passengers can have a mean weight of up to 1630/10=163 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 163 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 26 lb.) Does this elevator appear to be safe?
An elevator has a placard stating that the maximum capacity is 1630 lb—10 passengers. So, 10 adult male passengers can have a mean weight of up to 1630/10=163 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 163 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 26 lb.) Does this elevator appear to be safe?
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
mean weight of up to
normally distributed with a mean of
1630
lb—10
passengers. So,
10
adult male passengers can have a 1630/10=163 pounds.
If the elevator is loaded with
10
adult male passengers, find the probability that it is overloaded because they have a mean weight greater than
163
lb. (Assume that weights of males are 166 lb
and a standard deviation of
26 lb.)
Does this elevator appear to be safe?Expert Solution
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