No. k, md No. k, md No. k. md 168 354 16 13.8 3600 31 13 54.6 11.2 415 17 14 3200 32 10.7 0.179 15.1 2100 18 14.7 6210 33 12.9 0.0711 14.7 3210 19 14.5 3510 34 8.9 0.0615 15 3450 20 13.6 3450 35 8.8 0.148 18.6 3130 21 16.2 3640 36 9.8 1.2 14.7 6470 22 14.1 3640 37 8.8 2.08 15.6 3500 23 15 2750 38 5.2 46.8 15.2 7160 24 13.3 1170 39 13 91.9 10 15.5 5680 25 1.8 7.97 40 14.6 129 11 20.6 4370 26 2.7 46.9 41 13.7 78.7 12 14.3 3800 27 7.9 1.13 42 13.9 81.6 13 14.4 3380 28 8.9 1.6 43 13.7 134 14 14.1 3450 29 11 1.07 44 9.7 105 15 15.8 2690 30 64 0.361 45 13 54.6 A. Use direct enumeration (ie count the qualifying occurrences) and the definition of probability to determine the probabilities of the following events. Note k = permeability and o- porosity. 1. El - (kk s Imd) 2. E2- kk sQ.Imd: 3. E3 - 100S 106) 4. El nE3 5. E2OE3 6. El VE3 7. E3 8. El
No. k, md No. k, md No. k. md 168 354 16 13.8 3600 31 13 54.6 11.2 415 17 14 3200 32 10.7 0.179 15.1 2100 18 14.7 6210 33 12.9 0.0711 14.7 3210 19 14.5 3510 34 8.9 0.0615 15 3450 20 13.6 3450 35 8.8 0.148 18.6 3130 21 16.2 3640 36 9.8 1.2 14.7 6470 22 14.1 3640 37 8.8 2.08 15.6 3500 23 15 2750 38 5.2 46.8 15.2 7160 24 13.3 1170 39 13 91.9 10 15.5 5680 25 1.8 7.97 40 14.6 129 11 20.6 4370 26 2.7 46.9 41 13.7 78.7 12 14.3 3800 27 7.9 1.13 42 13.9 81.6 13 14.4 3380 28 8.9 1.6 43 13.7 134 14 14.1 3450 29 11 1.07 44 9.7 105 15 15.8 2690 30 64 0.361 45 13 54.6 A. Use direct enumeration (ie count the qualifying occurrences) and the definition of probability to determine the probabilities of the following events. Note k = permeability and o- porosity. 1. El - (kk s Imd) 2. E2- kk sQ.Imd: 3. E3 - 100S 106) 4. El nE3 5. E2OE3 6. El VE3 7. E3 8. El
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Can you solve part A please
Transcribed Image Text:2. The list below contains core plug data. Import these data into Excel and plot log(k)
vs o on a scatter plot.
No.
k, md
No.
k, md
No.
k, md
16.8
354
16
13.8
3600
31
13
54.6
2
11.2
415
17
14
3200
32
10.7
0.179
3
15.1
2100
18
14.7
6210
33
12.9
0.0711
4
14.7
3210
19
14.5
3510
34
8.9
0.0615
5
15
3450
20
13.6
3450
35
8.8
0.148
6
18.6
3130
21
16.2
3640
36
9.8
1.2
14.7
6470
22
14.1
3640
37
8.8
2.08
15.6
3500
23
15
2750
38
5.2
46.8
15.2
7160
24
13.3
1170
39
13
91.9
10
15.5
5680
25
1.8
7.97
40
14.6
129
11
20.6
4370
26
2.7
46.9
41
13.7
78.7
12
14.3
3800
27
7.9
1.13
42
13.9
81.6
13
14.4
3380
28
8.9
1.6
43
13.7
134
14
14.1
3450
29
11
1.07
44
9.7
105
15
15.8
2690
30
6.4
0.361
45
13
54.6
A. Use direct enumeration (ie count the qualifying occurrences) and the definition of
probability to determine the probabilities of the following events. Note k = permeability
and o - porosity.
1. El = {kk s Imd)
2. E2 - {kik <Q.lmd)
3. E3 = {6l0 S 10%}
4. El n E3
5. E2 n E3
6. El UE3
7. E3
8. El
B. Using the formulas for probabilities, calculate
1. prob(E υ E3)
2. prob(E3)
3. prob(E1)
4. prob(EI|E3)
5. prob(E2|E3)
C. On one or several log(k) vs o scatterplots of these data, identify the points included in
the events Al through A6. Use as many plots as needed to have a clear indication of where
the events are located.
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