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An elevator has a placard stating that the maximum capacity is 1328 lblong dash8 passengers.​ So,...

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Statistics

An elevator has a placard stating that the maximum capacity is1328 lblong dash8 passengers.​ So, 8 adult male passengers can havea mean weight of up to 1328 divided by 8 equals 166 pounds. If theelevator is loaded with 8 adult male​ passengers, find theprobability that it is overloaded because they have a mean weightgreater than 166 lb.​ (Assume that weights of males are normallydistributed with a mean of 170 lb and a standard deviation of 28lb​.) 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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