(25 marks) ABC Computer company in Ottawa receives large shipments of micro- processors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose ABC decides to test randomly ve microproces- sors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the ve microprocessors is defective, the shipment would be returned. (a) (10 marks) Is this a Binomial experiment? Why or why not? What is the random variable of interest? (b) (5 marks) If Intel Corp.s shipment contains 10% defective microprocessors, cal- culate the probability the entire shipment will be returned. (c) (5 marks) If Intel and ABC agree that Intel will not provide more than 5% de- fective chips, calculate the probability that the entire shipment will be returned even though only 5% are defective. (d) (5 marks) Calculate the probability that the entire shipment will be kept by ABC even though the shipment has 15% defective microprocessors.