# Probabilities of Graduation and Publication, writing homework help

User Generated

Henohf1

MTH156

## Description

Instructions
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 (attached below), 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 (attached below), 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.

1. The overall probability of students graduating at each of the three universities.
2. The overall probability of students having a publication at each of the three universities.
3. The overall probability of students having a publication, given that they graduated at each of the three universities.
4. The probability of a student graduating for each professor.
5. The probability of a student having a publication for each professor.
6. The probability of a student having a publication given that they graduated for each professor.
7. 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.

Paper Requirements
Write a report that uses the Written Assignment Requirements under the heading Expectations for CSU-Global Written Assignments found in theCSU-Global Guide to Writing and APA. 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. 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.

### Unformatted Attachment Preview

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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University
WWCC

Professor
J.W. Blake
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

1470
1455
422
2242
1883
923
2261
1899
513
2404
2356
1178
1721
1291
594
1571
1304
391
2869
2209
972
2329
2213
797
2967
2344
961
1467
1408
366
1103
971
291
2300
1978
495
208
206
89
1299
1143
446

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

849
2750
1927
1368
803
2734
1557
199
1778
1717
460
2156
248

790
2145
1599
1327
731
2379
1246
161
1458
1356
455
1940
226

324
901
416
571
241
1142
461
47
437
570
196
485
77

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

316
2310
2062
2927
2685
800
1478
2389
2654
1629
2065
1801
2661

259
2148
1567
2810
2443
672
1168
2317
2309
1434
1549
1639
2395

109
1074
752
843
855
195
327
672
670
645
480
721
671

P(Graduated) Rank by P(G) P(Publications) Rank by P(P) P(P|G) Rank by P(P|G)
0.98980
2
0.28707
9
0.29003
11
0.83988
10
0.41169
3
0.49018
2
0.83989
9
0.22689
13
0.27014
12
0.98003
3
0.49002
1
0.50000
1
0.75015
14
0.34515
4
0.46011
3
0.83004
11
0.24889
12
0.29985
9
0.76995
13
0.33879
7
0.44002
4
0.95019
5
0.34221
6
0.36014
8
0.79002
12
0.32390
8
0.40998
6
0.95978
4
0.24949
11
0.25994
13
0.88033
6
0.26383
10
0.29969
10
0.86000
8
0.21522
14
0.25025
14
0.99038
1
0.42788
2
0.43204
5
0.87991
7
0.34334
5
0.39020
7
0.86452
0.32193
0.372374
0.93051
0.78000
0.82979
0.97003
0.91034
0.87015
0.80026
0.80905
0.82002
0.78975
0.98913
0.89981
0.91129
0.85264

3
13
8
2
5
7
11
10
9
12
1
6
4

0.38163
0.32764
0.21588
0.41740
0.30012
0.41770
0.29608
0.23618
0.24578
0.33197
0.42609
0.22495
0.31048
0.31640

4
6
13
3
8
2
9
11
10
5
1
12
7

0.41013
0.42005
0.26016
0.43029
0.32969
0.48003
0.36998
0.29193
0.29973
0.42035
0.43077
0.25000
0.34071
0.371087

6
5
12
3
9
1
7
11
10
4
2
13
8

0.81962
0.92987
0.75994
0.96003
0.90987
0.84000
0.79026
0.96986
0.87001
0.88029
0.75012
0.91005
0.90004
0.88102

10
3
12
2
5
9
11
1
8
7
13
4
6

0.34494
0.46494
0.36469
0.28801
0.31844
0.24375
0.22124
0.28129
0.25245
0.39595
0.23245
0.40033
0.25216
0.31090

5
1
4
7
6
11
13
8
9
3
12
2
10

0.42085
0.50000
0.47990
0.30000
0.34998
0.29018
0.27997
0.29003
0.29017
0.44979
0.30988
0.43990
0.28017
0.352884

5
1
2
8
6
9
13
11
10
3
7
4
12

Sum of Ranks Overall Rank
22
19
15
31
34
3
5
38
21
21
32
5
24
17
19
25
26
15
28
11
26
15
36
2
8
36
19
25

13
24
33
8
22
10
27
32
29
21
4
31
19

32
17
4
36
19
34
13
5
9
21
40
8
25

20
5
18
17
17
29
37
20
27
13
32
10
28

23
38
28
29
29
9
1
23
13
32
5
34
11

Name:
Institution affiliation:
Date:

1

2

Probabil...

### Review

Anonymous
I was struggling with this subject, and this helped me a ton!

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