Problem D, Questions 1-3 Based on geological studies done on land in East Texas,

Question

Problem D, Questions 1-3 Based on geological studies done on land in East Texas, a petroleum compond no oil is 26%. probability of finding high-quality oil is 31%, medium-quality oil is 43%, and soil test (since Since drilling can be expensive, the petroleum company also plans on doing a soil test (sinee certain soil types are more apt to detect the presence and quality of oil). For example, the petroleum company knows that in 13% of high-quality oil finds, 9% of medium-quality oil finds, and 4% of no oil finds, the soil is Type A. So, for this East Texas land dium-quality oil is 43%, and no oil is 26% 1. Find the probability that high-quality oil is found given the soil was not Type A. 2. Find the probability the soil was not Type A or no oil is found. 3. Find the probability oil is found given the soil was Type A.

Explanation / Answer

here probability of soil was type A =P(high quality oil and type A+medium quality oil and type A+no oil and type A)

=0.31*0.13+0.43*0.09+0.26*0.04=0.0894

probability of soil not type A =1-P(soil was type A) =1-0.0894=0.9106

1) probability of high quality oil ; given soil was not type A =

=P(high quality oil and soil was not type A)/P(soil was not type A) =0.31*(1-0.13)/0.9106=0.2962

2)probability that soil was not type A or no oil is found =P( soil not type A)+P(no oil and type A)

=0.9106+0.26*0.04=0.921

3)probability oil is found given soil is of type A =

P(high quality oil and type A+medium quality oil and type A)/P(soil of type A) =(0.31*0.13+0.43*0.09)/0.0894

=0.8837

please revert for any clarification required.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.