Hamilton County Judges Reporter Kristen DelGuzzi of The Cincinnati Enquirer is writing a piece about the effectiveness of judges in Hamilton County, Ohio. 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. Over a three-year period the Hamilton County Common Pleas Court, Domestic Relations Court, and Municipal Court handled 182,908 cases. The purpose of the newspaper's study is to evaluate the performance of each court and the judges who render their decisions. Appeals are often the result of mistakes made by judges, and the newspaper wanted to know which court and which judges were doing a good job and which were making too many mistakes. You have been hired to assist in the data analysis at the court level (judge-level analysis will be done at a later time). You must use your knowledge of probability and conditional probability to help determine the likelihood of appeal and reversal for cases handled by different courts. Given that a case was reversed, what is the probability that it occurred in Common Pleas Court? TOTAL COURT CASES DISPOSED, APPEALED, AND REVERSED IN HAMILTON COUNTY COURTS, n = 182,908 n = 182,908 Oa. 0.1129 Ob. 0.5512 O c.0.6219 O d. 0.0045 Common Pleas n = 43,945 Domestic Relations n = 30,499 Municipal Court n = 108,464 Appealed n = 1,762 Not Appealed = 42,183 Appealed n=106 Not Appealed n = 30,393 Appealed n = 500 Not Appealed n = 107,964 Reversed 1 - 199 Upheld n 1,563 Reversed n = 17 Upheld 12-89 Reversed n-104 Upheld 11=396

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Hamilton County Judges
Reporter Kristen DelGuzzi of The Cincinnati Enquirer is writing a piece about the effectiveness of judges in Hamilton County, Ohio. 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.
Over a three-year period the Hamilton County Common Pleas Court, Domestic Relations Court, and Municipal Court handled 182,908 cases. The purpose of the newspaper's study is to evaluate the performance of each court and the
judges who render their decisions. Appeals are often the result of mistakes made by judges, and the newspaper wanted to know which court and which judges were doing a good job and which were making too many mistakes.
You have been hired to assist in the data analysis at the court level (judge-level analysis will be done at a later time). You must use your knowledge of probability and conditional probability to help determine the likelihood of appeal and
reversal for cases handled by different courts.
Given that a case was reversed, what is the probability that it occurred in Common Pleas Court?
TOTAL COURT CASES DISPOSED, APPEALED, AND REVERSED IN HAMILTON COUNTY COURTS, n = 182,908
n 182,908
a. 0.1129
Ob. 0.5512
c. 0.6219
O d. 0.0045
Common Pleas
n 43,945
Domestic Relations
n = 30,499
Municipal Court
n 108,464
Appealed
n = 1,762
Not Appealed
n = 42,183
Appealed
n = 106
Not Appealed
n = 30,393
Appealed
n = 500
Not Appealed
n = 107,964
Reversed
n = 199
Upheld
n = 1,563
Reversed
n = 17
Upheld
n = 89
Reversed
n = 104
Upheld
n = 396
Transcribed Image Text:Hamilton County Judges Reporter Kristen DelGuzzi of The Cincinnati Enquirer is writing a piece about the effectiveness of judges in Hamilton County, Ohio. 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. Over a three-year period the Hamilton County Common Pleas Court, Domestic Relations Court, and Municipal Court handled 182,908 cases. The purpose of the newspaper's study is to evaluate the performance of each court and the judges who render their decisions. Appeals are often the result of mistakes made by judges, and the newspaper wanted to know which court and which judges were doing a good job and which were making too many mistakes. You have been hired to assist in the data analysis at the court level (judge-level analysis will be done at a later time). You must use your knowledge of probability and conditional probability to help determine the likelihood of appeal and reversal for cases handled by different courts. Given that a case was reversed, what is the probability that it occurred in Common Pleas Court? TOTAL COURT CASES DISPOSED, APPEALED, AND REVERSED IN HAMILTON COUNTY COURTS, n = 182,908 n 182,908 a. 0.1129 Ob. 0.5512 c. 0.6219 O d. 0.0045 Common Pleas n 43,945 Domestic Relations n = 30,499 Municipal Court n 108,464 Appealed n = 1,762 Not Appealed n = 42,183 Appealed n = 106 Not Appealed n = 30,393 Appealed n = 500 Not Appealed n = 107,964 Reversed n = 199 Upheld n = 1,563 Reversed n = 17 Upheld n = 89 Reversed n = 104 Upheld n = 396
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