At a plant, 20% of all the produced parts are subject to a special electronic inspection. It is known that any produced part which was inspected electronically has no defects with probability 0.95. For a part that was not inspected electronically this probability is only 0.7. A customer receives a part and find defects in it. What is the probability that this part went through an electronic inspection?

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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At a plant, 20% of all the produced parts are subject to a special electronic inspection.
It is known that any produced part which was inspected electronically has no defects with
probability 0.95. For a part that was not inspected electronically this probability is only
0.7. A customer receives a part and find defects in it. What is the probability that this part
went through an electronic inspection? 

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