A factory has three assembly lines, with the first line producing 14% of the product, the second line producing 28% of the product, and the third line producing the remainder. The first line produces defective parts 4% of the time, the second line produces defective parts 1% of the time, and the third line produces defective parts 3% of the time. What is the probability that a defective part made at this factory was made on the first assembly line?  (Enter answer as a decimal with at least 4 correct decimal places)

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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A factory has three assembly lines, with the first line producing 14% of the product, the second line producing 28% of the product, and the third line producing the remainder. The first line produces defective parts 4% of the time, the second line produces defective parts 1% of the time, and the third line produces defective parts 3% of the time. What is the probability that a defective part made at this factory was made on the first assembly line?  (Enter answer as a decimal with at least 4 correct decimal places)

 

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