Ball bearings are manufactured with a diameter of 5 mm. But the process has variation, so the diameter is normally distributed with a mean of 5 mm and a standard deviation of .02 mm.

A) What proportion of ball bearings are more than 5.03 mm?

B) Any ball bearing less than 4.95 mm and greater than 5.05 mm will be discarded. What proportion will be discarded?

C) If the company makes 30000 ball bearings a day, how many should they expect to discard?

D) If an order for 50000 bearings comes in, who many should the company make if all ball bearings should be between 4.97 mm and 5.03 mm?