Read the Hamilton County Judges case study and please provid

Read the Hamilton County Judges case study and please provide a Managerial Report that includes the following:

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

2. The probability of a case being appealed for each judge.

3. The probability of a case being reversed for each judge.

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

5. Rank the judges within each court. State the criteria you used and provide a rationale for the ranking method you used.

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

Rank is done according to the number of cases disposed.

Judge	Disposed	Appealed	Reversed	Court	Prob revd and appealed	Prob for appealed	Prob for reversed	Prob for reversed/appeal	Rank
Fred Cartolano	3037	137	12	Common	0.049062	0.04511	0.003951	0.087591	16
Thomas Crush	3372	119	10	Common	0.038256	0.035291	0.002966	0.084034	23
Patrick Dinkelacker	1258	44	8	Common	0.041335	0.034976	0.006359	0.181818	2
Timothy Hogan	1954	60	7	Common	0.034289	0.030706	0.003582	0.116667	3
Robert Kraft	3138	127	7	Common	0.042702	0.040472	0.002231	0.055118	18
William Mathews	2264	91	18	Common	0.048145	0.040194	0.007951	0.197802	5
William Morrissey	3032	121	22	Common	0.047164	0.039908	0.007256	0.181818	15
Norbert Nadel	2959	131	20	Common	0.051031	0.044272	0.006759	0.152672	11
Arthur Ney Jr.	3219	125	14	Common	0.043181	0.038832	0.004349	0.112	21
Richard Niehaus	3353	137	16	Common	0.045631	0.040859	0.004772	0.116788	22
Thomas Nurre	3000	121	6	Common	0.042333	0.040333	0.002	0.049587	14
John O\'Connor	2969	129	12	Common	0.047491	0.043449	0.004042	0.093023	13
Robert Ruehlman	3205	145	18	Common	0.050858	0.045242	0.005616	0.124138	20
J. Howard Sundermann Jr.	955	60	10	Common	0.073298	0.062827	0.010471	0.166667	41
Ann Marie Tracey	3141	127	13	Common	0.044572	0.040433	0.004139	0.102362	19
Ralph Winkler	3089	88	6	Common	0.030431	0.028488	0.001942	0.068182	17
Penelope Cunningham	2729	7	1	Domestic	0.002931	0.002565	0.000366	0.142857	8
Patrick Dinkelacker	6001	19	4	Domestic	0.003833	0.003166	0.000667	0.210526	30
Deborah Gaines	8799	48	9	Domestic	0.006478	0.005455	0.001023	0.1875	39
Ronald Panioto	12970	32	3	Domestic	0.002699	0.002467	0.000231	0.09375	I
Mike Allen	6149	43	4	Muni	0.007644	0.006993	0.000651	0.093023	31
Nadine Allen	7812	34	6	Muni	0.00512	0.004352	0.000768	0.176471	35
Timothy Black	7954	41	6	Muni	0.005909	0.005155	0.000754	0.146341	36
David Davis	7736	43	5	Muni	0.006205	0.005558	0.000646	0.116279	32
Leslie Isaiah Gaines	5282	35	13	Muni	0.009087	0.006626	0.002461	0.371429	27
Karla Grady	5253	6	0	Muni	0.001142	0.001142	0	0	26
Deidra Hair	2532	5	0	Muni	0.001975	0.001975	0	0	7
Dennis Helmick	7900	29	5	Muni	0.004304	0.003671	0.000633	0.172414	36
Timothy Hogan	2308	13	2	Muni	0.006499	0.005633	0.000867	0.153846	6
James Patrick Kenney	2798	6	1	Muni	0.002502	0.002144	0.000357	0.166667	10
Joseph Luebbers	4698	25	8	Muni	0.007024	0.005321	0.001703	0.32	24
William Mallory	8277	38	9	Muni	0.005678	0.004591	0.001087	0.236842	37
Melba Marsh	8219	34	7	Muni	0.004988	0.004137	0.000852	0.205882	38
Beth Mattingly	2971	13	1	Muni	0.004712	0.004376	0.000337	0.076923	13
Albert Mestemaker	4975	28	9	Muni	0.007437	0.005628	0.001809	0.321429	25
Mark Painter	2239	7	3	Muni	0.004466	0.003126	0.00134	0.428571	4
Jack Rosen	7790	41	13	Muni	0.006932	0.005263	0.001669	0.317073	40
Mark Schweikert	5403	33	6	Muni	0.007218	0.006108	0.00111	0.181818	29
David Stockdale	5371	22	4	Muni	0.004841	0.004096	0.000745	0.181818	28
John A. West	2797	4	2	Muni	0.002145	0.00143	0.000715	0.5	9

Read the Hamilton County Judges case study and please provide a Managerial Report that includes the following: 1. The probability of cases being appealed and re

Read the Hamilton County Judges case study and please provid

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