The judges of County X try thousands of cases per year. Althoughin a big majority of the cases disposed the verdict stands asrendered, some cases are appealed. Of those appealed, some arereversed. Because appeals are often made as a result of mistakes bythe judges, you want to determine which judges are doing a good joband which ones are making too many mistakes. The attached Excelfile has the results of 182,908 disposed cases over a three yearperiod by the 38 judges in various courts of County X. Two of thejudges (Judge 3 and Judge 4) did not serve in the same court forthe entire three-year period. Using your knowledge of probabilityand conditional probability you will make an analysis to decide aranking of judges. You will also analyze the likelihood of appealand reversal for cases handled by different courts. Using Excel tocalculate the following probabilities for each judge. Use theattached Excel file to fill in these numbers on the tables for eachcourt. Each court is given on a separate tab. The probability of acase being appealed for each judge. The probability of a case beingreversed for each judge. The probability of a reversal given anappeal for each judge. Probability of cases being appealed andreversed in the three courts. Rank the judges within eachcourt.
Domestic Relations Court | | | | |
Judge | Total Cases Disposed | Appealed Cases | Reversed Cases | Probability of Appeal | Probability of Reversal | Conditional Probability of Reversal GivenAppeal | Rank of Judge |
Judge 17 | 2,729 | 7 | 1 | | | | |
Judge 3 | 6,001 | 19 | 4 | | | | |
Judge 18 | 8,799 | 48 | 9 | | | | |
Judge 19 | 13,970 | 32 | 3 | | | | |
Total | 31,499 | 106 | 17 | | | | |