A particular industrial product is shipped in lots of 20 items per lot. Testing to determine...

Transcribed Image Text:

A particular industrial product is shipped in lots of 20 items per lot. Testing to determine whether an item is defective is costly, and hence the manufac- turer samples his production rather than using a 100% inspection plan. A sampling plan constructed to minimize the number of defective shipped to customers calls for sampling 5 items from each lot and rejecting the lot if more than 1 defective is ob- served. It is believed that 10% of lots contains 3 defectives, 20% contains 2 defectives, 30% contains 1 defective and 40% contains no defectives. If a randomly accepted lot has one defective in the sample, what is the probability that the accepted lot still contains at least one defective? (A) 0.375 (B) 0.475 (C) 0.525 (D) 0.625 (E) 0.775 A particular industrial product is shipped in lots of 20 items per lot. Testing to determine whether an item is defective is costly, and hence the manufac- turer samples his production rather than using a 100% inspection plan. A sampling plan constructed to minimize the number of defective shipped to customers calls for sampling 5 items from each lot and rejecting the lot if more than 1 defective is ob- served. It is believed that 10% of lots contains 3 defectives, 20% contains 2 defectives, 30% contains 1 defective and 40% contains no defectives. If a randomly accepted lot has one defective in the sample, what is the probability that the accepted lot still contains at least one defective? (A) 0.375 (B) 0.475 (C) 0.525 (D) 0.625 (E) 0.775

Answer rating: 100% (QA)

SOLUTION Define the random variables X Number of defective in the lot Y Number of defect... View the full answer