The judges of County X try thousands of cases per year. Although in a big majority of the cases disposed the verdict stands as rendered, some cases are appealed. Of those appealed, some are reversed. Because appeals are often made as a result of mistakes by the judges, you want to determine which judges are doing a good job and which ones are making too many mistakes.

The attached Excel file has the results of 182,908 disposed cases over a three year period by the 38 judges in various courts of County X. Two of the judges (Judge 3 and Judge 4) did not serve in the same court for the entire three-year period. Using your knowledge of probability and conditional probability you will make an analysis to decide a ranking of judges. You will also analyze the likelihood of appeal and reversal for cases handled by different courts.

TheExcel 2 file is attached in the Final Project learning object. Itprovides the data for the total cases disposed, numbers of appealed cases and the numbers of reversed cases for judges in each court.

Using Excel or SAS Studio, calculate the following probabilities for each judge. Use the attached Excel file to fill in these numbers on the tables for each court. Each court is given on a separate tab.

1. The probability of a case being appealed for each judge.
2. The probability of a case being reversed for each judge.
3. The probability of a reversal given an appeal for each judge.
4. Probability of cases being appealed and reversed in the three courts.
5. Rank the judges within each court.

Common Pleas Court Probability of Reversal Total Cases Appealed Reversed Probability Probability Given Rank of Judge Disposed Cases Cases of Appeal of Reversal Appeal Judge Judge 1 3,037 137 12 Judge 2 3,372 119 10 Judge 3 1,258 44 8 Judge 4 1,954 60 7 Judge 5 3,138 127 7 Judge 6 2,264 91 18 Judge 7 3,032 121 22 Judge 8 2,959 131 20 Judge 9 3,219 125 14 Judge10 3,353 137 16 Judge 11 3,000 121 6 Judge 12 2,969 129 12 Judge 13 3,205 145 18 Judge 14 955 60 10 Judge 15 3,141 127 13 Judge 16 3,089 38 6 Total 43,945 1762 199