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)?
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)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbed7f96-de73-44e2-9417-90c498b3ebf6%2F3faf475c-e912-4db9-b330-a037c874d61a%2Fxo4d998_processed.jpeg&w=3840&q=75)
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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