Your production line has an automatic scanner to detect defects. In recent production, 2% of items have been defective. Given that an item is defective, the scanner has a 90% chance of identifying it as defective. Of the nondirective items, the scanner has a 90% chance of identifying it correctly as nondirective. Given that the scanner identifies a part as defective, find the conditional probability that the part is truly defective.
Your production line has an automatic scanner to detect defects. In recent production, 2% of items have been defective. Given that an item is defective, the scanner has a 90% chance of identifying it as defective. Of the nondirective items, the scanner has a 90% chance of identifying it correctly as nondirective. Given that the scanner identifies a part as defective, find the conditional probability that the part is truly defective.
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
Problem 7MC
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Your production line has an automatic scanner to detect defects. In recent production, 2% of items have been defective. Given that an item is defective, the scanner has a 90% chance of identifying it as defective. Of the nondirective items, the scanner has a 90% chance of identifying it correctly as nondirective. Given that the scanner identifies a part as defective, find the conditional probability that the part is truly defective.
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