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Example 5.15 An industrial product is shipped in lots of 20. Testing to determine whether an item is defective is costly, and 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 lot if more than one defective is observed. (If the lot is rejected, each item in it is later tested.) (a) If a lot contains four defectives, what is the probability that it will be rejected ? (b) What is the mean and variance of the number of defectives in the sample of size 5 ?

Example 5.15 An industrial product is shipped in lots of 20. Testing to determine whether an item is defective is costly, and 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 lot if more than one defective is observed. (If the lot is rejected, each item in it is later tested.) (a) If a lot contains four defectives, what is the probability that it will be rejected ? (b) What is the mean and variance of the number of defectives in the sample of size 5 ?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Example 5.15 An industrial product is shipped in lots of 20. Testing to determine whether an item is defective is costly, and 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 lot if more than one defective is observed. (If the lot is rejected, each item in it is later tested.) (a) If a lot contains four defectives, what is the probability that it will be rejected ? (b) What is the mean and variance of the number of defectives in the sample of size 5 ? Solution (a) Let X be the number of defectives in the sample.
Transcribed Image Text:Example 5.15 An industrial product is shipped in lots of 20. Testing to determine whether an item is defective is costly, and 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 lot if more than one defective is observed. (If the lot is rejected, each item in it is later tested.) (a) If a lot contains four defectives, what is the probability that it will be rejected ? (b) What is the mean and variance of the number of defectives in the sample of size 5 ? Solution (a) Let X be the number of defectives in the sample.
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