Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals). P(high-quality oil soil) P(medium-quality oillsoil) P(no oil soil) What is the new probability of finding oil (to 4 decimals)? According to the revised probabilities, what is the quality of oil that is most likely to be found?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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) = 0.25
P(no oil) = 0.30
a. What is the probability of finding oil (to 2 decimals)?
0.7 O
b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the te
P(soil|high-quality oil) = 0.15
P(soil medium-quality oil) = 0.85
P(soil no oil) = 0.15
Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals).
P(high-quality oillsoil)
P(medium-quality oil soil)
P(no oil soil)
What is the new probability of finding oil (to 4 decimals)?
According to the revised probabilities, what is the quality of oil that is most likely to be found?
Medium-quality
Transcribed Image Text:Ssign 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) = 0.25 P(no oil) = 0.30 a. What is the probability of finding oil (to 2 decimals)? 0.7 O b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the te P(soil|high-quality oil) = 0.15 P(soil medium-quality oil) = 0.85 P(soil no oil) = 0.15 Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals). P(high-quality oillsoil) P(medium-quality oil soil) P(no oil soil) What is the new probability of finding oil (to 4 decimals)? According to the revised probabilities, what is the quality of oil that is most likely to be found? Medium-quality
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