What is the probability that Kylo passes the accounting test? (ii.) Given that Kylo passes the test. What is the probability that his accounting skills are either “Fair” or “Poor”?
Kylo’s accounting skills can be categorized as Good, Fair, or Poor, each with equal probability. Kylo is given a written test of basic accounting fundamentals to evaluate his ability more precisely. The test has only two outcomes: passing or failing. If Kylo’s ability is “Good”, the probability that he passes the test is 90%; if his ability is “Fair”, the probability that he passes the test is 60%; if his ability is “Poor”, the probability that he passes the test is 30%.
(i.) What is the probability that Kylo passes the accounting test?
(ii.) Given that Kylo passes the test. What is the probability that his accounting skills
are either “Fair” or “Poor”?
please explain why my prof gave these answers to the questions:
(i) 60%
(ii) 1 - 0.9 / (0.9 + 0.6 + 0.3) = 50%
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