An oil company purchased an option on tand in Alaska. Preliminary geologic studies assagned the following prior probabilities: P(high-qualityoil)P(meditum-qualityoil)P(nooli)=0.45=0.25=0.30 a. What is the probabiluy of finding of (to 2 decimals)? b. After 200 feet of drilling on the first well, a soil test is taken. The probabalibes of finding the particular type of soil identified by the test are given below. P(soilhigh-qualityoil)=0.15P(soil/medium-qualityoil)=0.70P(solisooil)=0.15 Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals). What is the new probability of finding oil (to 4 decimals)? According to the revised probabilities, what is the quality of oil that is most likely to be found