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Intro Stats / AP Statistics
An elevator has a placard stating that the maximum capacity is 2445 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2445/15 = 163 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 163 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 33 lb.) Does this elevator appear to be safe?