138 Accepting or rejecting a shipment. By mistake, a manufacturer of DVD recording systems includes 3 defective systems in a shipment of 10 going out to a small retailer.

The retailer has decided to accept the shipment of DVD recorders only if none is found to be defective. Upon receipt of the shipment, the retailer examines only 5 of the systems.

a. What is the probability that the shipment will be rejected?

b. If the retailer inspects 6 of the systems, what is the probability that the shipment will be accepted?