An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.   P(high-quality oil) = 0.60 P(medium-quality oil) = 0.20 P(no oil) = 0.20     If required, round your answers to two decimal places. (a) What is the probability of finding oil?         (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 as follows.       P(soil | high-quality oil) = 0.20 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.20       How should the firm interpret the soil test?   The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find - Select your answer -medium-qualityhigh-qualitynoItem 2 oil.       What are the revised probabilities?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: 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) = 0.60
P(medium-quality oil) = 0.20
P(no oil) = 0.20

 

 

If required, round your answers to two decimal places.

(a) What is the probability of finding oil?
   
   
(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 as follows.
   
 
P(soil | high-quality oil) = 0.20
P(soil | medium-quality oil) = 0.80
P(soil | no oil) = 0.20
   
  How should the firm interpret the soil test?
  The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find - Select your answer -medium-qualityhigh-qualitynoItem 2 oil.
   
  What are the revised probabilities?
   
 
Events P(Ai) P(S | Ai)   P(Ai ∩ S)   P(Ai | S)
High Quality (A1)            
Medium Quality (A2)            
No Oil (A3)            
      P(S)=      
 
   
  What is the new probability of finding oil?
   
 

 

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