A smoke detector is routinely inspected. 80% of the detectors found inoperative had experienced a power surge, and 10% of those found in operating condition had experienced a power surge. 20% of the detectors inspected have failed. What is probability of a detector failing given it experiences a power surge?.

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 smoke detector is routinely inspected. 80% of the detectors found inoperative had experienced a power surge, and 10% of those found in operating condition had experienced a power surge. 20% of the detectors inspected have failed. What is probability of a detector failing given it experiences a power surge?. 

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