Confidence of feedback information for improving quality. In the semiconductor manufacturing industry, a key to improved quality is having confidence in the feedback generated by production equipment. A study of the confidence level of feedback information was published in Engineering Applications of Artificial Intelligence (Vol. 26, 2013). At any point in time during the production process, a report can be generated. The report is classified as either “OK” or “not OK.” Let A represent the
- a. Express the event B|A in the words of the problem.
- b. Express the event B|Ac in the words of the problem.
- c. Find P (Ac).
- d. Find P (A∩B).
- e. Find P (Ac∩B).
- f. Use the probabilities, parts d and e, to find P (B).
- g. Use Bayes’ Rule to find P (A|B), i.e., the
probability that an “OK” report was generated in one time period (t), given that an “OK” report is generated in the next time period ( t + 1).
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Statistics for Business and Economics (13th Edition)
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