In a manufacturing plant, three machines, A, B, and C, produce 38%, 33%, and 29%, respectively, of the total production. The company's quality-control department has determined that 2% of the items produced by machine A, 1.5% of the items produced by machine B, and 2% of the items produced by machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by machine B? (Round your answer to three decimal places.)
In a manufacturing plant, three machines, A, B, and C, produce 38%, 33%, and 29%, respectively, of the total production. The company's quality-control department has determined that 2% of the items produced by machine A, 1.5% of the items produced by machine B, and 2% of the items produced by machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by machine B? (Round your answer to three 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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In a manufacturing plant, three machines, A, B, and C, produce 38%, 33%, and 29%, respectively, of the total production. The company's quality-control department has determined that 2% of the items produced by machine A, 1.5% of the items produced by machine B, and 2% of the items produced by machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by machine B? (Round your answer to three decimal places.)
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