Manufacturing Decisios Fina 14) Deuble Down- You are working with In Tells testi

Question

Manufacturing Decisios Fina 14) Deuble Down- You are working with In Tells testing chips. Your current testing machine is saying "test said defect" when you have a defect 75% of the time. say-test said defect" when you have no defects 20% of the time. You are following a previous AET student who has done some fine Bayes work for intells. The following are some of the findings However, this machine 0.20 P(defect) P(First pass test said defect I defect) 0.75 PlFirst pass test said defect | NO defect)0.20 You plan to have a production run of 50,000 chips. Of the 50,000 chips, how many are defective? How many of the 50,000 chips are not defective? For the bad product, from this first pass test, how many of the defects are found? For the good product, from this first pass test, how many of the good product are called "defective"? What percent of the "identified" defective are actually defective? of the 50,000 chips, how many bad were called "good" by the test machine?

Explanation / Answer

We are allowed to do 4 subparts question at a time. Post again for more subparts of question.

a) p (defect) = 0.2

So, defective = 0.2 * 50000 = 10000

b) Not defective = 40,000

c) P(bad|defect) = 0.75

Total = 0.75 * 10000 = 7500

d) Total = 0.2 * 40000 = 8000

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