An automobile manufacturer will accept a shipment of tires only if an inspection of 5 percent of

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An automobile manufacturer will accept a shipment of tires only if an inspection of 5 percent of the tires, randomly chosen from the shipment, does not contain any defective tires. The manufacturer receives a shipment of 500 tires, and unknown to the manufacturer, five of the tires are defective.

a. What is the probability that the shipment will be accepted?

b. What percent of the tires would need to be randomly chosen and inspected if the manufacturer wanted to reject such a shipment described above, with .90 probability?

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