Question

5.45The Quinte Corporation manufactures parts for electronic consumer products. One contract calls for 95% of all parts to pass a certain test. When shipping a lot of 2500 or more parts, the Quinte Corporation adopts the following plan. Select a random sample of 35 parts from the shipment and determine how many pass the test. If 4 or more parts fail the test, the lot is considered to be unacceptable. If 0 or 1 parts fail, the lot is approved for shipment. Either 2 or 3 failures will result in a second sample of 35 parts being taken in which case the lot is approved only if 0 or I parts fail. (a) If the shipment contains 90% good parts, what is the probability that (i) it will be released for shipment after only 35 parts are examined? (ii) a second sample will be taken after the first 35 parts are examined? it will be unacceptable after only 35 parts are examined? (b) If the shipment contains 95% good parts, what is the probability that it will be judged unacceptable? (c) Ifthe shipment contains 95% good parts, what is the probability that the first sample will lead to a second sample and that the second sample will contain at most one part that fails? (d) Ifthe shipment contains 85% good parts, what is the probability that the first sample will lead to a second sample and that the second sample will contain at most one part that fails?

Answer 1

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