In a certain geographical area, manholes are constructed to have a circular opening with a diameter of 22 inches. Men in this geographical area have shoulder breadths that are Normally distributed with a mean of 18.2 inches and a standard deviation of 1.0 inches.

1. What percentage of men will fit into a manhole?
2. If 36 men are randomly selected, what is the probability their mean shoulder breadth is less than 18.5 inches?
3. A utility company in the area employs 36 men who frequently work in manholes. The city is thinking of changing to a smaller size of manhole cover, so that the new diameter is 18.5 inches, hoping that this will save money on materials. Does your answer to (2) suggest that this is a good idea? Why or why not?