Answer & Explanation:Option 2: Probabilities of Graduation and PublicationInstructionsIn 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.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.Paper RequirementsWrite a report that uses the Written Assignment Requirements under the heading Expectations for CSU-Global Written Assignments found in the CSU-Global Guide to Writing and APA Requirements. Items that should be included, but are not limited Items that should be included, at a minimum, are a title page, an introduction, a body which answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.
mth156_ct_mod3_option2_probabilities4_students.xlsx
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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
Number Students Taught Graduated Publications
2560
2304
876
599
599
300
472
425
162
1027
904
434
138
121
44
817
809
307
2218
2018
726
870
835
367
1789
1735
503
329
280
81
2087
1628
716
1991
1971
986
1438
1237
594
2049
1824
492
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
163
2854
533
2993
418
1110
1411
609
2773
2209
1036
296
2353
155
2397
442
2903
326
977
1129
518
2357
2076
881
249
2071
64
1079
150
1364
150
479
531
130
1179
664
247
87
559
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
2448
2878
2649
2031
2243
231
1616
2703
2455
1981
2032
979
376
1983
2820
2490
1686
1750
173
1374
2027
2332
1882
1748
871
365
575
1382
1096
708
823
52
522
791
816
678
752
314
150
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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