An elevator has a placard stating that the maximum capacity is 1296 lb---8 passengers.​ So, 8 adult male passengers can have a mean weight of up to 1296/8=162. If the elevator is loaded with 8 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 and a standard deviation of 32lb ​.) Does this elevator appear to be​ safe?