Question: Hamilton County judges Ely 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 DelGurti 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 different courts.