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?