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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 particular industrial product is shipped in lots of 20. Testing to determine
whether an item is defective is costly; hence, the manufacturer samples
production rather than using a 100% inspection plan. A sampling plan
constructed to minimize the number of defectives shipped to customers calls
for sampling five items from each lot and rejecting the lot if more than one
defective is observed. (If the lot is rejected, each item in the lot is then tested.)
If a lot contains four defectives, what is the probability that it will be
accepted?

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