A Beneficiation Engineer is in charge of a particular process (crushing of ore at least 9-inch diameter) at a mining company. Past experience indicates that 10% of all shutdowns are due to equipment failure alone, 5% are due to a combination of equipment failure and operator error, and 40% involve operator error. A shutdown occurs. Find the probability that the operator error is involved given the equipment failure occurs.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A Beneficiation Engineer is in charge of a particular process (crushing of ore at least 9-inch diameter) at a mining company. Past experience indicates that 10% of all shutdowns are due to equipment failure alone, 5% are due to a combination of equipment failure and operator error, and 40% involve operator error. A shutdown occurs. Find the probability that the operator error is involved given the equipment failure occurs.

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