| Automobile inspections |
| Given Probabilities: | Probability |
| P(inspected car has problems) |
| P(inspected car has no problems) |
| P(no problem found | inspected car has problems) |
| P(problem found | inspected car has problems) |
| P(no problem found | inspected car has no problems) |
| P(problem found | inspected car has no problems) |
| 1. The goal is to find P(inspected car has problems | no problem was found). |
| P(inspected car has problems | no problem was found) = | | |
| P(inspected car has problems AND no problem found)/P(no problem found) = |
| P(no problem found | inspected car has problems)*P(inspected car has problems)/ |
| (P(no problem found | inspected car has problems)*P(inspected car has problems) + |
| P(no problem found | inspected car has no problems)*P(inspected car has no problems)) |
| which is equal to …(results) |
| |
| 2. Provide a brief clarification discussion about your results. |