Question: Automobile state inspections are required annually in order to register vehicles for license plates and license plate renewals. Suppose that 18% of all cars inspected

Automobile state inspections are required annually in order to register vehicles for license plates and license plate renewals. Suppose that 18% of all cars inspected have problems that need to be corrected. State inspections fail to detect these problems 12% of the time. On the other hand, an inspection never detects a problem when there is no problem. Suppose a car is inspected and passes inspection (found to be free of problems); what is the probability that there is actually something wrong that the inspection failed to uncover?

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