Yearly automobile inspections are required for residents of the state of pennsylvania. suppose that 12% of all inspected cars in pennsylvania have problems that need to be corrected. unfortunately, pennsylvania state inspections fail to detect these problems 20% of the time. on the other hand, assume that an inspection never detects a problem when there is no problem. consider a car that is inspected and is found to be free of problems. what is the probability that there is indeed something wrong that the inspection has failed to uncover?