The following two acceptance rules are being considered for determining whether to take delivery of a large shipment of components: 1) Take a random sample of 10 components and accept the shipment if none of them are defective; 2) Take a random sample of 20 components and accept the shipment if no more than one of them are defective.
a) For each rule, what is the probability of accepting a shipment containing 20% defective components?
b) For each rule, what is the probability of rejecting a shipment containing 10% defective components?