In the production of a certain type of plastic part, the diameter of the part is expected to be 5.00 mm with a standard deviation of 0.05 mm. If the part diameter deviates by more than two standard deviations, it will be rejected.
(a) Calculate the probability of rejection of a part.
(b) In a sample of 20 parts, what are the probabilities that 2, 4, and 10 will be rejected?