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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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