Question: An elevator has a placard stating that the maximum capacity is 2064 lb-12 passengers. So, 12 adult male passengers can have a mean weight

An elevator has a placard stating that the maximum capacity is 2064 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2064/12 = 172 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 172 lb. (Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 32 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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