52. A shipment of 10 items has two defective and eight nondefective items. In the inspection of the shipment, a sample of items will be selected and tested. If a defective item is found, the shipment of 10 items will be rejected.

a. If a sample of three items is selected, what is the probability that the shipment will be rejected?

b. If a sample of four items is selected, what is the probability that the shipment will be rejected?

c. If a sample of five items is selected, what is the probability that the shipment will be rejected?

d. If management would like a .90 probability of rejecting a shipment with two defective and eight nondefective items, how large a sample would you recommend?