A particular industrial project is shipped in lots of 20. Testing whether an item is defective is…

A particular industrial project is shipped in lots of 20. Testing whether an item is defective is costly, hence a 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 defective 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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