Johnson County judges try thousands of cases per year. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appealed, and of those appealed, some of the cases are reversed. Kristen DelGuzzi of the Cincinnati Enquirer conducted a study of the cases handled by Johnson County judges over a three-year period. Shown in Table below are the result for cases handled (disposed) by 4 judges in Domestic Relations Court. The purpose of the newspaper’s study was to evaluate the performance of the judges. Appeals are often the result of mistakes made by judges, and the newspaper wanted to know which judges were doing a good job and which were making too many mistakes. You have been called in to assist in the data analysis. Use your knowledge of probability and conditional probability to help with the ranking of the judges. Prepare a report with your rankings of the judges. Also, include an analysis of the likelihood of appeal and case reversal in the court.
Rank the judges. State the criteria you used and provide a rationale for your choice and why.
Domestic Relations Court |
|||
Judge |
Total Cases Disposed |
Appealed Cases |
Reversed Case |
Penelope Cunningham |
2,729 |
7 |
1 |
Patrick Dinkelacker |
6,001 |
19 |
4 |
Deborah Gaines |
8,799 |
48 |
9 |
Ronald Panioto |
12,970 |
32 |
3 |
Total |
30,499 |
106 |
17 |
Table : Domestic Relations Court
Judge | P(Appealed Cases) | P(Reversed Cases) | P(Reversed | Appealed) | Rank |
Penelope Cunningham | 0.0026 | 0.0004 | 0.1429 | 3 |
Patrick Dinkelacker | 0.0032 | 0.0007 | 0.2105 | 2 |
Deborah Gaines | 0.0055 | 0.0010 | 0.1875 | 1 |
Ronald Panioto | 0.0025 | 0.0002 | 0.0938 | 4 |
Total | 0.0035 | 0.0006 | 0.1604 |
Probability of a case being appealed = number of cases appealed/ total number of cases disposed.
Probability of a case being reversed = number of cases reversed/ total number of cases disposed.
Probability of a case being reversed given they have been appealed = number of cases reversed/ number of cases appealed
The judge having lesser probability of a case being appealed/ reversed has been given a higher rank.
Get Answers For Free
Most questions answered within 1 hours.