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- 8. (Acceptance Samping.) Ine roluowing two acceptance ruies are being con side

ID: 3069701 • Letter: #

Question

- 8. (Acceptance Samping.) Ine roluowing two acceptance ruies are being con sidered for determining whether to take the delivery of a large shipment of components Rule 1. A random sample of ten components is checked, and the shipment is accepted only if none of them is defective Rule 2. A random sample of twenty components is checked, and the ship ment is accepted only if not more than one of them is defective. Which of these acceptance rules has the smaller probability of accepting a shipment containing 20% defectives?

Explanation / Answer

Rule 1:
Probability of accepting = 0.8^10 = 0.1074

Rule 2:
Probability of accepting = 0.8^20 + 20C1*0.2*0.8^19 = 0.0692

Hence Rule 2 has smaller probability of acceptance