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 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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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
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Step 1: Calculate probability of drawing exactly 0 defectives in the first sample of 10 items
VIEWStep 2: Calculate Probability of drawing exactly 1 defective in the first sample and 0 defectives
VIEWStep 3: Calculate Probability of drawing exactly 0 defectives in both the first and second samples
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