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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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