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Unformatted text preview: with probability p (0<p<1) or does not know the answer with probability 1-p. If the candidate knows the answer, she puts down the correct answer with probability .99, whereas if she guesses, the probability of putting down the correct answer is 1/k (where k is the number of choices). Find the conditional probability that the candidate knew the answer to a question, given that she has made the correct answer. Show that this probability tends to 1 as k increases to infinity. 9. For any two events A and B show that: A. If P(A|B) >P(A) then P(B|A)>P(B). B. If A and B are independent then A complement and B complement are independent....
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- Spring '08