An elevator has a placard stating that the maximum capacity is 1640 lb10 passengers . 10 adult male passengers can have a mean weight of up to 1640/10 = 164 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 164 (Assume that weights of males are normally distributed with a mean of 172 lb and a standard deviation of 35 ) Does this elevator appear to be safe ?
The probability the elevator is overloaded is ?