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Option 2: Probabilities of Graduation and Publication
Instructions
Professors have hundreds of students in their classes each year. Some professors teach only upper-division courses to students who are in their major course of study. Of this group of students, some will graduate and some will be published.
In the following study, three different universities have been tracking a select group of professors over the course of their employment at that university to determine the number of students who are in a particular professor’s classes, how many of those students have graduated, and if any of them have had their work published. In the attached Excel file, Probabilities, are the totals for each of the professors at the three different universities that participated in the study.
The purpose of this study is to find the probabilities of graduation and publication for the students in the different professors’ courses. While a causal relationship may not be found between a professor and student graduation or publication, we need to rank the professors based on the different probabilities found with the data sets as described below.
Prepare a report (see below) with your ranking of the professors based on the probabilities and conditional probabilities as well as the analysis of each university. Include the following seven (7) items in table format which is provided in the Probabilities file to support your ranking.
Note: Be sure to use five (5) decimal places for your probabilities in the table, as some of them will be quite small. Do not convert to percentages as we are interested in probabilities only here.
The overall probability of students graduating at each of the three universities.
The overall probability of students having a publication at each of the three universities.
The overall probability of students having a publication, given that they graduated at each of the three universities.
The probability of a student graduating for each professor.
The probability of a student having a publication for each professor.
The probability of a student having a publication given that they graduated for each professor.

Rank the professors within each university for each of the probabilities in 4–6. Then find the sum of the ranks and determine an overall ranking for each professor.
Be sure to critically analyze the above calculations in your body paragraphs, explaining how you found each type of probability and then the results you obtained. Be sure to also explain your criteria for ranking in steps 4–7, and defend why you chose that ranking method—as your way might not be the typical method.University/College Professor/Instructor
J.W. Blake
WWCC
K.R. Cunningham
R.H. Doughty
L.M. Edwards
W.H. Greiner
I.D. Jackson
O.P. Lawson
G.F. Nelson
A.F. Paul
D.K. Raulson
T.R. South
E.A. Thomas
C.F. Viney
F.E. Yousef
Totals
1956
1545
711
1102
981
373
1911
1682
606
419
402
201
2133
2133
768
646
581
203
864
812
219
1049
797
279
1039
1039
509
889
747
187
2890
2254
1082
2923
2777
861
1984
1567
642
2704
2352
847
EWCC
A.D. Blaise
I.A. Frank
S.D. Gundel
P.O. Hogan
W.M. Kraft
L.I. Luebbers
J.H. Nye
J.A. O’Dell
R.W. Pauly
K.G. Ross
D.S. Smith
J.P. Trost
M.M. Wall
Totals
247
2613
1813
1052
1270
2248
2330
286
751
153
126
2510
2629
188
2247
1523
926
1041
1866
1841
277
593
122
105
2159
2103
83
629
655
389
396
653
865
105
208
54
40
1015
904
NWCC
D.H. Allen
T.G. Black
M.A. Carter
M.P. Drake
J.K. Elmsworth
P.T. Grey
C.R. Heines
D.R. Jones
B.M. Keith
G.H. Matheson
P.R. Neighbors
S.T. Orion
A.P. Tracey
Totals
902
2842
2660
2595
2480
751
1489
605
165
2588
2991
1438
2542
731
2671
2234
2206
2381
646
1266
496
153
1941
2572
1337
2262
183
1336
603
949
667
207
582
164
47
679
900
508
927
P(Graduated) Rank by P(G) P(Publications) Rank by P(P) P(P|G) Rank by P(P|G)
Sum of Ranks Overall Rank

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