A double sampling plan is constructed as follows. From a lot of 200 items, a sample of 10 items is drawn. If there are zero defectives, the lot is accepted. If there are two or more defectives, the lot is rejected. If there is exactly one defective, a second sample of 10 items is drawn. If the combined number of defectives in both samples is two or less, the lot is accepted; otherwise it is rejected. If the lot has 10 percent defectives, what is the probability that it is accepted?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A double sampling plan is constructed as follows. From a lot of 200 items, a sample of 10 items is drawn. If there are zero defectives, the lot is accepted. If there are two or more defectives, the lot is rejected. If there is exactly one defective, a second sample of 10 items is drawn. If the combined number of defectives in both samples is two or less, the lot is accepted; otherwise it is rejected. If the lot has 10 percent defectives, what is the probability that it is accepted?

 

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