An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.3 P(medium-quality oil) = 0.4 P(no oil) = 0.3 a. What is the probability of finding oil (to 1 decimal)? 0.70 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 test are given below. P(soil high-quality oil) = 0.4 P(soil medium-quality oil) = 0.4 P(soil no oil) = 0.2 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 oil soil) P(no oil soil) What is the new probability of finding oil (to 4 decimals)?

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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
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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) = 0.3
P(medium-quality oil) = 0.4
P(no oil) = 0.3
a. What is the probability of finding oil (to 1 decimal)?
0.70
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 test are
given below.
P(soil high-quality oil) = 0.4
P(soil medium-quality oil) = 0.4
P(soil no oil) = 0.2
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 oil soil)
P(no oil soil)
What is the new probability of finding oil (to 4 decimals)?
Transcribed Image Text:An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.3 P(medium-quality oil) = 0.4 P(no oil) = 0.3 a. What is the probability of finding oil (to 1 decimal)? 0.70 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 test are given below. P(soil high-quality oil) = 0.4 P(soil medium-quality oil) = 0.4 P(soil no oil) = 0.2 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 oil soil) P(no oil soil) What is the new probability of finding oil (to 4 decimals)?
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