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c) Your subsurface team has determined the following thresholds and defined the associated events A and B as: Event A: Porosity > 10.0% Event B: Acoustic Impedance ≤ 30 kg/m²s*10³ Provide the following probabilities for the team to support your pre-drill prediction model: vi. Prob(A | B) i. Prob(AUB) ii. Prob (An B) iii. Prob (BBC) iv. Prob(AUBC) v. Prob(BU BC) vi. Prob(A | Bº)

c) Your subsurface team has determined the following thresholds and defined the associated events A and B as: Event A: Porosity > 10.0% Event B: Acoustic Impedance ≤ 30 kg/m²s*10³ Provide the following probabilities for the team to support your pre-drill prediction model: vi. Prob(A | B) i. Prob(AUB) ii. Prob (An B) iii. Prob (BBC) iv. Prob(AUBC) v. Prob(BU BC) vi. Prob(A | Bº)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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c) Your subsurface team has determined the following thresholds and defined the associated events A and B as: Event A: Porosity ≥ 10.0% Event B: Acoustic Impedance ≤ 30 kg/m²s*10³ Provide the following probabilities for the team to support your pre-drill prediction model: i. Prob(AUB) iv. Prob (A U BC) vi. Prob(A | B) ii. Prob(An B) v. Prob(BUBC) iii. Prob (BBC) vi. Prob(A | BC)
Transcribed Image Text:c) Your subsurface team has determined the following thresholds and defined the associated events A and B as: Event A: Porosity ≥ 10.0% Event B: Acoustic Impedance ≤ 30 kg/m²s*10³ Provide the following probabilities for the team to support your pre-drill prediction model: i. Prob(AUB) iv. Prob (A U BC) vi. Prob(A | B) ii. Prob(An B) v. Prob(BUBC) iii. Prob (BBC) vi. Prob(A | BC)
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: Porosity (%) 12.5 12 000 10.0 12 320 7.5 0353 1 2 2 4 2 1 3 1 2 10 30 50 70 90 Acoustic Impedance (kg/m2s*10^3) a) Calculate the joint probability table Porosity (%) 5.0 0 2.5 0 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 kg/m²s*10³. P(Porosity Al = 70) 2.5 5.0 7.5 10.0 12.5 Porosity (%)
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: Porosity (%) 12.5 12 000 10.0 12 320 7.5 0353 1 2 2 4 2 1 3 1 2 10 30 50 70 90 Acoustic Impedance (kg/m2s*10^3) a) Calculate the joint probability table Porosity (%) 5.0 0 2.5 0 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 kg/m²s*10³. P(Porosity Al = 70) 2.5 5.0 7.5 10.0 12.5 Porosity (%)
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