An elevator has a placard stating that the maximum capacity is 1944 lb 12 passengers. So, 12 adult male passengers can have a mean weight of up to 1944 divided by 12 equals 162 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 162 lb. (assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 30 lb.) does this elevator appear to be safe?
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