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An elevator has a placard stating that the maximum capacity is 2370 Pounds-15 passengers. So, 15 adult male passengers can have a mean weight of

An elevator has a placard stating that the maximum capacity is 2370 Pounds-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2370/15 = 158 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 158 lbs. (Assume that weights of males are normally distributed with a mean of 160 b and a standard deviation of 34 lbs) 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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