Uniroyal Electronics Company buys certain parts for its refrigerators from Bob’s Corporation. The parts are received in shipments of 400 boxes, each box containing 16 parts. The quality control department at Uniroyal Electronics first randomly selects 1 box from each shipment and then randomly selects 4 parts from that box. The shipment is accepted if at most 1 of the 4 parts is defective. The quality control inspector at Uniroyal Electronics selected a box from a recently received shipment of such parts. Unknown to the inspector, this box contains 3 defective parts.
a. What is the probability that this shipment will be accepted?
b. What is the probability that this shipment will not be accepted?