7. The specifications for a shaft diameter call for it to be 2.000 inches with a tolerance of +0.005 inch. The processing equipment has an inherent variation that is normally distributed with o = 0.002 inch.

a. When the process is correctly set at 2.000 inches and maintained in control, what percentage of the products will fall outside the product tolerance?

b. What percentage will fall outside the product tolerance when the process is centered at 1.995 inches?