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

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?

Answer by edjones(8007) (Show Source): 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.
.
Ed
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