SOLUTION: At a plant, 20% of all produced parts are subject to a special electronic inspection. It is known that any produced part which was inspected electronically has no defects with prob
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Question 394628: At a plant, 20% of all 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 finds defect in it. What is the probability that this part went through an electronic inspection?
You can put this solution on YOUR website! Out of 100 parts 20 are tested and 1 will have a defect (100*.2*.05). 80 will not be tested and 24 will have defects (100*.8*.3).
The probability that the part the customer got went through an inspection is 1/(24+1) = 1/25 Bayes' rule.
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Ed
