An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.45 P(medium-quality oil) = 0.20 %3D P(no oil) = 0.35 %3D a. What is the probability of finding oil (to 2 decimals)? b. After 200 feet of drilling on the first well, a soll test is taken. The probabilities of finding the particular type of soil identified by the test are given below. P(soil|high-quality oil) = 0.20 P(soil medium-quality oil) = 0.75 %3D P(soil no oil) = 0.20 Given the sol found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals). P(high-quality oil|soil) P(medium-quality oilsoil)
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.45 P(medium-quality oil) = 0.20 %3D P(no oil) = 0.35 %3D a. What is the probability of finding oil (to 2 decimals)? b. After 200 feet of drilling on the first well, a soll test is taken. The probabilities of finding the particular type of soil identified by the test are given below. P(soil|high-quality oil) = 0.20 P(soil medium-quality oil) = 0.75 %3D P(soil no oil) = 0.20 Given the sol found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals). P(high-quality oil|soil) P(medium-quality oilsoil)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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