Refer to Exercise. Suppose that the professor discovers that the weights of people who use the elevator are normally distributed with an average of 75 kilograms and a standard deviation of 10 kilograms. Calculate the probability that the professor seeks.

In Exercise, the sign on the elevator in the Peters Building, which houses the School of Business and Economics at WLU, states “Maximum Capacity 1,140 kilograms (2,500 pounds) or 16 Persons.” A professor of statistics wonders what the probability is that 16 persons would weigh more than 1,140 kilograms. Discuss what the professor needs (besides the ability to perform the calculations) in order to satisfy his curiosity.