The following two acceptance rules are being considered for determining whether to take delivery of a large shipment of components: A random sample of 10 components is checked, and the shipment is accepted only if none of them is defective. A random sample of 20 components is checked, and the shipment is accepted only if no more than 1 of them is defective. Which of these acceptance rules has the smaller probability of accepting a shipment containing 20% defectives? You must justify your answer with clear calculations.