The purpose of this assignment is to know how to apply probability concepts to evaluate judges performance.

1. Open the DataFile of Judge (attached).
2. Calculate the probability of cases being appealed and reversed in the three different courts.
3. Calculate the probability of a case being appealed for each judge.
4. Calculate the probability of a case being reversed for each judge.
5. Calculate the probability of reversal given an appeal for each judge.
6. Rank the judges within each court. State the criteria you used and provide a rationale for your choice.

\begin{tabular}{|l|c|c|c|c|} \hline Judge & Disposed & Appealed & Reversed & Court \\ \hline Fred Cartolano & 3037 & 137 & 12 & Common \\ \hline Thomas Crush & 3372 & 119 & 10 & Common \\ \hline Patrick Dinkelacker & 1258 & 44 & 8 & Common \\ \hline Timothy Hogan & 1954 & 60 & 7 & Common \\ \hline Robert Kraft & 3138 & 127 & 7 & Common \\ \hline William Mathews & 2264 & 91 & 18 & Common \\ \hline William Morrissey & 3032 & 121 & 22 & Common \\ \hline Norbert Nadel & 2959 & 131 & 20 & Common \\ \hline Arthur Ney Jr. & 3219 & 125 & 14 & Common \\ \hline Richard Niehaus & 3353 & 137 & 16 & Common \\ \hline Thomas Nurre & 3000 & 121 & 6 & Common \\ \hline John O'Connor & 2969 & 129 & 12 & Common \\ \hline Robert Ruehlman & 3205 & 145 & 18 & Common \\ \hline J. Howard Sundermann Jr. & 955 & 60 & 10 & Common \\ \hline Ann Marie Tracey & 3141 & 127 & 13 & Common \\ \hline Ralph Winkler & 3089 & 88 & 6 & Common \\ \hline Penelope Cunningham & 2729 & 7 & 1 & Domestic \\ \hline Patrick Dinkelacker & 6001 & 19 & 4 & Domestic \\ \hline Deborah Gaines & 8799 & 48 & 9 & Domestic \\ \hline Ronald Panioto & 12970 & 32 & 3 & Domestic \\ \hline Mike Allen & 6149 & 43 & 4 & Muni \\ \hline Nadine Allen & 7812 & 34 & 6 & Muni \\ \hline Timothy Black & 7954 & 41 & 6 & Muni \\ \hline David Davis & 7736 & 43 & 5 & Muni \\ \hline Leslie Isaiah Gaines & 5282 & 35 & 13 & Muni \\ \hline Karla Grady & 5253 & 6 & 0 & Muni \\ \hline Deidra Hair & 2532 & 5 & 0 & Muni \\ \hline Dennis Helmick & 7900 & 29 & 5 & Muni \\ \hline Timothy Hogan & 2308 & 13 & 2 & Muni \\ \hline James Patrick Kenney & 2798 & 6 & 1 & Muni \\ \hline Joseph Luebbers & 4698 & 25 & 8 & Muni \\ \hline William Mallory & 8277 & 38 & 9 & Muni \\ \hline Melba Marsh & 8219 & 34 & 7 & Muni \\ \hline Beth Mattingly & 2971 & 13 & 1 & Muni \\ \hline Albert Mestemaker & 4975 & 28 & 9 & Muni \\ \hline Mark Painter & 2239 & 7 & 3 & Muni \\ \hline Jack Rosen & 7790 & 41 & 13 & Muni \\ \hline Mark Schweikert & 5403 & 33 & 6 & Muni \\ \hline David Stockdale & 5371 & 22 & 4 & Muni \\ \hline John A. West & 2797 & 4 & 2 & Muni \\ \hline \end{tabular}