Hamilton County judges try thousands of cases per year. In anoverwhelming majority of the cases disposed, the verdict stands asrendered. However, some cases are appealed, and of those appealed,some of the cases are reversed. Kristen DelGuzzi of the CincinnatiEnquirer conducted a study of the cases handled by Hamilton Countyjudges over a three-year period. Shown in Table below are theresult for cases handled (disposed) by 4 judges in DomesticRelations Court. The purpose of the newspaper’s study was toevaluate the performance of the judges. Appeals are often theresult of mistakes made by judges, and the newspaper wanted to knowwhich judges were doing a good job and which were making too manymistakes. You have been called in to assist in the data analysis.Use your knowledge of probability and conditional probability tohelp with the ranking of the judges. Prepare a report with yourrankings of the judges. Also, include an analysis of the likelihoodof appeal and case reversal in the court. At a minimum, your reportshould include the following:
The probability of reversal given an appeal for each judge.
Rank the judges. State the criteria you used and provide arationale for your choice.
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 |
