Oil Drilling An oil well is to be drilled in a certain location. The soil there is

Chapter 8, Problem 43

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Oil Drilling An oil well is to be drilled in a certain location. The soil there is either rock (probability 0.53), clay (probability 0.21), or sand. If it is rock, a geological test gives a positive result with 35% accuracy; if it is clay, this test gives a positive result with 48% accuracy; and if it is sand, the test gives a positive result with 75% accuracy. The test is positive. (a) What is the probability that the soil is rock? (b) What is the probability that the soil is clay? (c) What is the probability that the soil is sand?

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