Please solve Problem G questions 1-3 Problem D, Questions 1-3 Based probability

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Please solve Problem G questions 1-3

Problem D, Questions 1-3 Based probability on geological studies done on land in East Texas, a petroleum company believes the of finding high-quality oil is 31%, medium-quality oil is 43%, and no oil is 26%. ng can be expensive, the petroleum company also plans on doing a solil test in soil types are more apt to detect the presence and quality of oil). For example, the certa 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 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 is found. 3. Find the probability oil is found given the soil was Type A. Problem E, Questions 1-6 The quality rating and typical meal price were collected for a sample of 600 Houston restaurants. (SEE EXCEL OUTPUT, APPENDIX 2) Ipatin P(Ratinga Good AND 5

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.

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