Jackson County judges try thousands of cases per year. In an overwhelming majori

Question

Jackson 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. Jackie Chan of The Star Tribune conducted a study of cases handled by Jackson County judges over a three-year period. In the Excel file, Judges, linked at the bottom of the page, are the results for the 182,908 cases handled (disposed) by 40 judges in Common Pleas Court, Domestic Relations Court, and Municipal Court.

The purpose of the newspaper's study was to evaluate the performance of the judges. The newspaper wanted to know which judges were doing a good job and which ones were making too many mistakes. You are to assist in the data analysis by using your knowledge of probability and conditional probability to help with the ranking of each of the judges, as well as each court.

Managerial Report
Prepare a report (see below) with your ranking of the judges based on the probabilities and conditional probabilities, as well as the analysis of each court. Include the following seven (7) items in table format to support your ranking. Be sure to use five (5) decimal places for your probabilities in the table, as some of them will be quite small.

The probability of cases being appealed in each of the three different courts.

The probability of cases being reversed in each of the three different courts.

The probability of cases being reversed given an appeal in each of the three different courts.

The probability of a case being appealed for each judge.

The probability of a case being reversed for each judge.

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

Rank the judges within each court for each of the probabilities in 4 - 6. In other words, only rank the judges in the Common Pleas court against the other judges in the Common Pleas court. perfrom the same analysis for the other two courts. Then, within each court, find the sum of the ranks and get an overall ranking for each judge. Evaluate and discuss the meaning of your results. Use tables, charts, graphs, or visual dashboards to support your findings.

Court Judge Disposed Appealed Reversed P(Appeal) Rank by P(A) P(Reversal) Rank by P(R) P(R|A) Rank by P(R|A) Sum of Ranks Overall Rank Common Pleas Peter Tom 2910 124 10 Angela M. Mazzarelli 2460 107 9 Richard T. Andrias 1432 41 4 David Friedman 1999 63 8 John W. Sweeny Jr. 3232 141 9 Rolando T. Acosta 2531 93 19 David B. Saxe 3125 125 25 Karla Moskowitz 3273 135 21 Dianne T. Renwick 3100 121 10 Leland G. DeGrasse 2806 127 11 Helen E. Freedman 3210 133 10 Rosalyn H. Richter 3380 98 13 Sallie Manzanet-Daniels 3302 150 19 Paul G. Feinman 1039 89 11 Judith J. Gische 3097 125 12 Darcel D. Clark 3049 90 8 Total Domestic Relations John A. Lahtinen 2936 10 3 Leslie E. Stein 5735 11 9 William E. McCarthy 8998 55 4 Edward O. Spain 12830 30 1 Total Municipal Elizabeth A. Garry 6316 51 6 John C. Egan Jr. 7920 53 7 Peter Tom 8235 36 8 Angela M. Mazzarelli 9780 32 9 Richard T. Andrias 3201 27 2 David Friedman 7103 6 5 John W. Sweeny Jr. 4201 6 4 Rolando T. Acosta 7235 12 1 David B. Saxe 2203 35 2 Karla Moskowitz 2789 65 3 Dianne T. Renwick 4138 21 6 Leland G. DeGrasse 8139 50 9 Helen E. Freedman 7468 22 5 Rosalyn H. Richter 2680 24 8 Sallie Manzanet-Daniels 4627 10 5 Paul G. Feinman 1236 3 3 Judith J. Gische 7898 9 6 Darcel D. Clark 5135 11 2 Luis A. Gonzalez 5378 21 7 Leslie E. Stein 2782 6 6 Total

Explanation / Answer

I have used excel to formulate the solution and ranks of each judge within their court.

The following results were obtained.

Court Judge Disposed Appealed Reversed Total P(Appeal) Rank by P(A) P(Reversal) Rank by P(R) P(R/A) Rank by P(R|A) Sum of Ranks Overall Rank Common Pleas Peter Tom 2910 124 10 3044 0.04074 11.00000 0.00329 6.00000 0.08065 3.00000 20.00000 6.00000 Angela M. Mazzarelli 2460 107 9 2576 0.04154 12.00000 0.00349 7.00000 0.08411 5.00000 24.00000 7.00000 Richard T. Andrias 1432 41 4 1477 0.02776 1.00000 0.00271 3.00000 0.09756 9.00000 13.00000 2.00000 David Friedman 1999 63 8 2070 0.03043 4.00000 0.00386 11.00000 0.12698 12.00000 27.00000 10.00000 John W. Sweeny Jr. 3232 141 9 3382 0.04169 13.00000 0.00266 2.00000 0.06383 1.00000 16.00000 4.00000 Rolando T. Acosta 2531 93 19 2643 0.03519 5.00000 0.00719 14.00000 0.20430 16.00000 35.00000 12.00000 David B. Saxe 3125 125 25 3275 0.03817 7.00000 0.00763 15.00000 0.20000 15.00000 37.00000 14.00000 Karla Moskowitz 3273 135 21 3429 0.03937 9.00000 0.00612 13.00000 0.15556 14.00000 36.00000 13.00000 Dianne T. Renwick 3100 121 10 3231 0.03745 6.00000 0.00310 5.00000 0.08264 4.00000 15.00000 3.00000 Leland G. DeGrasse 2806 127 11 2944 0.04314 14.00000 0.00374 10.00000 0.08661 6.00000 30.00000 11.00000 Helen E. Freedman 3210 133 10 3353 0.03967 10.00000 0.00298 4.00000 0.07519 2.00000 16.00000 4.00000 Rosalyn H. Richter 3380 98 13 3491 0.02807 2.00000 0.00372 9.00000 0.13265 13.00000 24.00000 7.00000 Sallie Manzanet-Daniels 3302 150 19 3471 0.04322 15.00000 0.00547 12.00000 0.12667 11.00000 38.00000 15.00000 Paul G. Feinman 1039 89 11 1139 0.07814 16.00000 0.00966 16.00000 0.12360 10.00000 42.00000 16.00000 Judith J. Gische 3097 125 12 3234 0.03865 8.00000 0.00371 8.00000 0.09600 8.00000 24.00000 7.00000 Darcel D. Clark 3049 90 8 3147 0.02860 3.00000 0.00254 1.00000 0.08889 7.00000 11.00000 1.00000 Total 43945 1762 199 Domestic Relations John A. Lahtinen 2936 10 3 2949 0.00339 3.00000 0.00102 3.00000 0.30000 3.00000 9.00000 3.00000 Leslie E. Stein 5735 11 9 5755 0.00191 1.00000 0.00156 4.00000 0.81818 4.00000 9.00000 3.00000 William E. McCarthy 8998 55 4 9057 0.00607 4.00000 0.00044 2.00000 0.07273 2.00000 8.00000 2.00000 Edward O. Spain 12830 30 1 12861 0.00233 2.00000 0.00008 1.00000 0.03333 1.00000 4.00000 1.00000 Total 30499 106 17 Municipal Elizabeth A. Garry 6316 51 6 6373 0.00800 16.00000 0.00094 10.00000 0.11765 5.00000 31.00000 11.00000 John C. Egan Jr. 7920 53 7 7980 0.00664 15.00000 0.00088 7.00000 0.13208 6.00000 28.00000 7.00000 Peter Tom 8235 36 8 8279 0.00435 12.00000 0.00097 12.00000 0.22222 9.00000 33.00000 12.00000 Angela M. Mazzarelli 9780 32 9 9821 0.00326 10.00000 0.00092 9.00000 0.28125 11.00000 30.00000 9.00000 Richard T. Andrias 3201 27 2 3230 0.00836 17.00000 0.00062 3.00000 0.07407 3.00000 23.00000 3.00000 David Friedman 7103 6 5 7114 0.00084 1.00000 0.00070 5.00000 0.83333 18.00000 24.00000 5.00000 John W. Sweeny Jr. 4201 6 4 4211 0.00142 3.00000 0.00095 11.00000 0.66667 16.00000 30.00000 9.00000 Rolando T. Acosta 7235 12 1 7248 0.00166 4.00000 0.00014 1.00000 0.08333 4.00000 9.00000 1.00000 David B. Saxe 2203 35 2 2240 0.01563 19.00000 0.00089 8.00000 0.05714 2.00000 29.00000 8.00000 Karla Moskowitz 2789 65 3 2857 0.02275 20.00000 0.00105 13.00000 0.04615 1.00000 34.00000 13.00000 Dianne T. Renwick 4138 21 6 4165 0.00504 13.00000 0.00144 17.00000 0.28571 12.00000 42.00000 17.00000 Leland G. DeGrasse 8139 50 9 8198 0.00610 14.00000 0.00110 15.00000 0.18000 7.00000 36.00000 14.00000 Helen E. Freedman 7468 22 5 7495 0.00294 9.00000 0.00067 4.00000 0.22727 10.00000 23.00000 3.00000 Rosalyn H. Richter 2680 24 8 2712 0.00885 18.00000 0.00295 20.00000 0.33333 13.00000 51.00000 20.00000 Sallie Manzanet-Daniels 4627 10 5 4642 0.00215 7.00000 0.00108 14.00000 0.50000 15.00000 36.00000 14.00000 Paul G. Feinman 1236 3 3 1242 0.00242 8.00000 0.00242 19.00000 1.00000 19.00000 46.00000 19.00000 Judith J. Gische 7898 9 6 7913 0.00114 2.00000 0.00076 6.00000 0.66667 16.00000 24.00000 5.00000 Darcel D. Clark 5135 11 2 5148 0.00214 5.00000 0.00039 2.00000 0.18182 8.00000 15.00000 2.00000 Luis A. Gonzalez 5378 21 7 5406 0.00388 11.00000 0.00129 16.00000 0.33333 13.00000 40.00000 16.00000 Leslie E. Stein 2782 6 6 2794 0.00215 6.00000 0.00215 18.00000 1.00000 19.00000 43.00000 18.00000 Total 108464 500 104

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