You are in charge of production of a very in-demand part. Your clients have an expectation...

 

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You are in charge of production of a very in-demand part. Your clients have an expectation that the probability of a defective part is under 10%. The table below summarizes part production at five of your facilities. Find the following probabilities. Rejected Parts Good Parts Total Factory 120 3380 3500 A Factory B 125 2575 2700 Factory 210 4790 5000 C Factory 712 3988 4700 D Factory 120 3480 3600 E Total 1287 18213 19500 Write your answer as a percent rounded to one decimal place. 1. What is the probability that a randomly selected part is defective? 2. What is the probability that a randomly selected part is not defective? 3. What is the probability that a part came from Factory A? Be careful on the following. 4. What is the probability of a defect, knowing the part came from Factory A? 5. What is the probability of a defect, knowing the part came from Factory B? 6. What is the probability of a defect, knowing the part came from Factory C? 7. What is the probability of a defect, knowing the part came from Factory D? 8. What is the probability of a defect, knowing the part came from Factory E? 9. Based upon these probabilities, which factory should be investigated more? You are in charge of production of a very in-demand part. Your clients have an expectation that the probability of a defective part is under 10%. The table below summarizes part production at five of your facilities. Find the following probabilities. Rejected Parts Good Parts Total Factory 120 3380 3500 A Factory B 125 2575 2700 Factory 210 4790 5000 C Factory 712 3988 4700 D Factory 120 3480 3600 E Total 1287 18213 19500 Write your answer as a percent rounded to one decimal place. 1. What is the probability that a randomly selected part is defective? 2. What is the probability that a randomly selected part is not defective? 3. What is the probability that a part came from Factory A? Be careful on the following. 4. What is the probability of a defect, knowing the part came from Factory A? 5. What is the probability of a defect, knowing the part came from Factory B? 6. What is the probability of a defect, knowing the part came from Factory C? 7. What is the probability of a defect, knowing the part came from Factory D? 8. What is the probability of a defect, knowing the part came from Factory E? 9. Based upon these probabilities, which factory should be investigated more?