Question: An elevator has a placard stating that the maximum capacity is 2016 lb-12 passengers. So, 12 adult male passengers can have a mean weight of

An elevator has a placard stating that the maximum capacity is 2016 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2016/12-168 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 168 Ib. (Assume that weights of males are normally distributed with a mean of 172 lb and a standard deviation of 26 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)

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