An elevator has a placard stating that the maximum capacity is 1992 lb—12 passengers. So, 12 adult male passengers can h

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An elevator has a placard stating that the maximum capacity is1992 lb—12 passengers. So, 12 adult male passengers can have a meanweight of up to 1992/12=166 pounds. If the elevator is loaded with12 adult male passengers, find the probability that it isoverloaded because they have a mean weight greater than 166 lb.(Assume that weights of males are normally distributed with a meanof 172 lb and a standard deviation of 29 lb.) Does this elevatorappear to be safe? The probability the elevator is overloadedis