Maine Corporation buys motors for electric fans from another

company that guarantees that at most 5% of its motors are defective and that it will

replace all defective motors at no cost to Maine Corporation. The motors are

received in large shipments. The quality control department at Maine Corporation

randomly selects 20 motors from each shipment and inspects them for being good

or defective. If this sample contains more than 2 defective motors, the entire

shipment is rejected.

a) Find the probability that a given shipment of motors received by Maine

Corporation will be accepted. Assume that 5% of all motors received are

defective.

b) Find the probability that a given shipment of motors received by Maine

Corporation will be rejected.