a) Calculate the joint probability table Porosity (%) 12.5 10.0 7.5 5.0 2.5 10 30 50 70 90 Acoustic Impedance (kg/m2s*10^3) b) Calculate the conditional probability for porosity given acoustic impedance of 70
a) Calculate the joint probability table Porosity (%) 12.5 10.0 7.5 5.0 2.5 10 30 50 70 90 Acoustic Impedance (kg/m2s*10^3) b) Calculate the conditional probability for porosity given acoustic impedance of 70
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:3. Marginal, Conditional and Joint Probability: You are on the St. Malo (Gulf of Mexico)
reservoir subsurface development team and you have just collected data from a new well.
You need to understand the relationship between acoustic impedance and porosity to
improve your predictions of porosity from seismic. You built a joint frequency table for
porosity and acoustic impedance as follows:
12.5 1 2 0 0 0
3 2 0
3
5 3 1
2
2 4 2
0
1 3 1 2
10 30 50 70 90
Acoustic Impedance (kg/m2s*10^3)
a) Calculate the joint probability table
Porosity (%)
Porosity (%)
10.0 1
7.5 0
5.0 0
2.5
12.5
10.0
7.5
5.0
2.5
2
10 30 50 70 90
Acoustic Impedance (kg/m2s*10^3)
b) Calculate the conditional probability for porosity given acoustic impedance of 70
kg/m²s*10³.
P(Porosity|AI = 70)
2.5 5.0 7.5 10.0 12.5
Porosity (%)
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