The Wayne Manufacturing Company purchases a certain part from suppliers A, B, and C. Supplier A supplies 57% of the parts, B 35%, and C 8%. The quality of parts varies among the suppliers, with A, B, and C parts having 0.15%, 1%, and 2% defective rates, respectively. The parts are used in one of the company's major products. What is the probability that the company's major product is assembled with a defective part? Use the tabular approach to Bayes' theorem to solve. If required, round your answer to four decimal places. When a defective part is found, which supplier is the likely source?

The Wayne Manufacturing Company purchases a certain part from suppliers A, B, and C. Supplier A supplies 57% of the parts, B 35%, and C 8%. The quality of parts varies among the suppliers, with A, B, and C parts having 0.15%, 1%, and 2% defective rates, respectively. The parts are used in one of the company's major products. What is the probability that the company's major product is assembled with a defective part? Use the tabular approach to Bayes' theorem to solve. If required, round your answer to four decimal places. When a defective part is found, which supplier is the likely source?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What is the probability that the company's major product is assembled with a defective part? Use the tabular approach to Bayes' theorem to solve. If required, round your answer to four decimal places.
When a defective part is found, which supplier is the likely source?

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