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Unformatted text preview: Consider the following Bayesian network: a) Are D and E necessarily independent given evidence about both A and B? b) Are A and C necessarily independent given evidence about D? c) Are A and H necessarily independent given evidence about C? A C H G F D E B Problem 3 Consider the following Bayesian network. A, B, C, and D each could have a value of either true or false. If we know that A is true, what is the probability of D being true? A D B C P(A) = 0.75 P(B  A) = 0.2 P(B  not A) = 0.5 P(C  A) = 0.7 P(C  not A) = 0.25 P(D  B and C) = 0.3 P(D  B and (not C)) = 0.25 P(D  (not B) and C) = 0.1 P(D  (not B) and (not C)) = 0.35...
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 Fall '08
 SvenKoenig
 6%, 9%, 2%, Bayesian probability, Bayesian network

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