Prepare a report with your rankings of the judges. Also, include an analysis of the likelihood of appeal and case reversal in the three courts. At a minimum, your report should include the following:

1. The probability of cases being appealed and reversed in the three different courts.

2. The probability of a case being appealed for each judge.

3. The probability of a case being reversed for each judge.

4. The probability of reversal given an appeal for each judge.

5. Rank the judges within each court. State the criteria you used and provide a rationale for your choice.

Hamilton 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 cases handled by Hamilton County judges over a three-year period. Shown in Table 4.8 are the results for 182,908 cases handled (disposed) by 38 judges in Common Pleas Court, Domestic Relations Court, and Municipal Court? Two of the judges (Dinkelacker and Hogan) did not serve in the same court for the entire three-year period.

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 are called in to assist in the data analysis. Use your knowledge of probability and conditional probability to help with the ranking of the judges. You also may be able to analyze the likelihood of appeal and reversal for cases handled by differentcourts.

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Common Pleas Court Total Cases Appealed Reversed Judge Fred Cartolano Thomas Crush Patrick Dinkelacker Timothy Hogan Robert Kraft William Mathews William Morrissey Norbert Nadel Arthur Ney, Jr. Richard Niehaus Thomas Nurre John O'Connor Robert Ruehlman J. Howard Sundermanın Ann Marie Tracey Ralph Winkler Disposed 3037 3372 1258 1954 3138 137 12 3032 2959 3219 3353 131 137 12 3205 955 3141 3089 43,945 Total 1762 Domestic Relations Cou rt Total Cases Disposed Appealed Cases Reversed Penelope Cunningham Patrick Dinkelacker Deborah Gaines Ronald Panioto 2729 6001 8799 12,970 30,499 4 Total Municipal Court Total Cases Appealed Reversed Judge Mike Allen Nadine Allen Timothy Black David Davis Leslie Isaiah Gaines Karla Grady Deidra Hair Dennis Helmick Timothy Hogan James Patrick Kenney Joseph Luebbers William Mallory Melba Marsh Beth Mattingly Albert Mestemaker Mark Painter Jack Rosen Mark Schweikert David Stockdale John A. West Disposed 6149 7812 7954 7736 5282 5253 2532 7900 2308 2798 4698 8277 8219 2971 4975 2239 7790 4 35 13 5371 2797 4 Total 108,464 500 104