Hi! I'm having a really hard time on this statistics question regarding probabiliity and elevators being overloaded. Any help is appreciated! Thank you so much .

An elevator has a placard stating that the maximum capacity is 2112 lb12 passengers. So, 12 adult male passengers can have a mean weight of up to 2112/ 12 = 176 pounds. If the elevator is loaded with 12 adult male passengers, nd the probability that it is overloaded because they have a mean weight greater than 176 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 30 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is :|. (Round to four decimal places as needed.)