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 toimprove your predictions of porosity from seismic. You built a joint frequency table forporosity and acoustic impedance as follows:12.5 1 2 0 0 03 2 035 3 122 4 201 3 1 210 30 50 70 90Acoustic Impedance (kg/m2s*10^3)a) Calculate the joint probability tablePorosity (%)Porosity (%)10.0 17.5 05.0 02.512.510.07.55.02.5210 30 50 70 90Acoustic Impedance (kg/m2s*10^3)b) Calculate the conditional probability for porosity given acoustic impedance of 70kg/m²s*10³.P(Porosity|AI = 70)2.5 5.0 7.5 10.0 12.5Porosity (%)

Here, we are given the number of observations belong to each cell.We also know that the probability…

Answered: a) Calculate the joint probability…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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