KoShop, a large retail department store, has a standard inspection policy that determines whether a shipment of products will be accepted or rejected. Specifically, they examine a randomly chosen sample of 10 percent of the objects in any shipment received, and, if no defectives are found in any of the items examined, the shipment is accepted. Otherwise, it is rejected. The items chosen for inspection are drawn randomly, one at a time, without replacement, from the objects in the shipment.

A shipment of 100 Blu-ray disk players is received at the loading dock. Suppose that in reality, unknown to the store, two of the disk players are actually defective.

(a) Define an appropriate probability model for the inspection experiment.

(b) What is the probability that KoShop will accept the shipment of disk players?

(c) What is the expected number of defective players when choosing 10 percent of the players for inspection in the manner described above?

(d) If the inspection policy is changed so that 20 percent of the objects will be inspected, and the shipment will be accepted only if no defectives are found, what is the probability that the shipment will be accepted?