# Question

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?

• 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?

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