Question 322846: Students who graduate from law schools must till pass a bar exam before coming layers. Suppose that in a particular jurisdiction the pass rate for first time test takers is 72%. Candidates who fail the first exam may take it again several months later of those who failed their first test ,88% pass their first attempt. Find the probability that a randomly selected law school graduate becomes a lawyer. Assume that candidates cannot take the exam more than twice.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Students who graduate from law schools must still pass a bar exam before becoming layers.
Suppose that in a particular jurisdiction the pass rate for first time test takers is 72%. Candidates who fail the first exam may take it again several months later. Of those who failed their first test ,88% pass their first attempt. Find the probability that a randomly selected law school graduate becomes a lawyer. Assume that candidates cannot take the exam more than twice.
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Not a lawyer if he/she fails twice; otherwise, becomes a lawyer
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P(becomes lawyer) = 1 - P(does not become a lawyer)
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P(does not become lawyer) = P(f and f) = P(f|f)P(f) = 0.12*0.28 = 0.0336
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Therefore: P(becomes lawyer) = 1 - 0.0336 = 0.9664
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Cheers,
Stan H.
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