An elevator has a placard stating that the maximum capacity is 2460 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2460/15 164 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 164 lb. (Assume that weights of males are normally distributed with a mean of 173 lb and a standard deviation of 31 lb) Does this elevator appear to be safe? The probability the elevator is overloaded is 0.0823 (Round to four decimal places as needed )

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