Suppose that ten items are chosen at random from a large batch delivered to a company. The manufacturer claims that just 7% of the items in the batch are defective. Assume that the batch is large enough so that even though the selection is made without replacement, the number 0.07 can be used to approximate the probability that any one of the ten items is defective. In addition, assume that because the items are chosen at random, the outcomes of the choices are mutually independent. Finally, assume that the manufacturerâs claim is correct. a. What is the probability that none of the ten is defective?
b. What is the probability that at least one of the ten is defective?
c. What is the probability that exactly four of the ten are defective?
d. What is the probability that at most two of the ten are defective?