# MTH 410 Mod 3

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 ofThe Star Tribune conducted
a study of cases handled by Jackson County judges over a three-year period. In
the attached Excel file.blackboard.com/bbcswebdav/pid-1420383-dt-content-rid-7455939_2/xid-7455939_2″>Judges 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 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.
1.
The probability of cases being appealed in each of the three different
courts.
2.
The probability of cases being reversed in each of the three different
courts.
3.
The probability of cases being reversed given an appeal in each of the
three different courts.
4.
The probability of a case being appealed for each judge.
5.
The probability of a case being reversed for each judge.
6.
The probability of reversal given an appeal for each judge.
7.
Rank the judges within each court for each of the probabilities in 4 –
6. Then find the sum of the ranks and get an overall ranking for each judge.
Write a report
format
Be sure that
Â·
An introduction
Â·
A body of the paper that answers the questions posed in the problem and
calculations and graphs associated with this problem.
Â·
determined from the data and your analysis.

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