3. A particular industrial product is shipped in lots of 20. Testing whether an item is defective is costly; hence the manufacturer samples his production rather than using a 100% inspection plan. A sampling plan constructed to minimize the number of defectives shipped to customers calls for sampling 5 items from each lot and rejecting the lots if more than 1 defect is observed. (If rejected, each item in the lot is tested.) If a lot actually contains 4 defectives, what is the probability that it will be rejected?

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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3. A particular industrial product is shipped in lots of 20. Testing whether an item
is defective is costly; hence the manufacturer samples his production rather than
using a 100% inspection plan. A sampling plan constructed to minimize the
number of defectives shipped to customers calls for sampling 5 items from each
lot and rejecting the lots if more than 1 defect is observed. (If rejected, each item
in the lot is tested.) If a lot actually contains 4 defectives, what is the probability
that it will be rejected?
Transcribed Image Text:3. A particular industrial product is shipped in lots of 20. Testing whether an item is defective is costly; hence the manufacturer samples his production rather than using a 100% inspection plan. A sampling plan constructed to minimize the number of defectives shipped to customers calls for sampling 5 items from each lot and rejecting the lots if more than 1 defect is observed. (If rejected, each item in the lot is tested.) If a lot actually contains 4 defectives, what is the probability that it will be rejected?
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