Question: You are given the following conditional distributions that connect the binary variables W, X, Y , Z: Which of the Bayes nets in Figure S13.17

You are given the following conditional distributions that connect the binary variables W, X, Y , Z:

X|W|P(W|X)||XY| P(YX) |ZW|P(W|Z) 0.4 00 0.3 01 0.7 10 0.1 11 0.9

Which of the Bayes nets in Figure S13.17 can represent a joint distribution that is consistent with these conditional distributions? Of those, which are minimal, in the sense that no edge can be removed while retaining the property?

Figure S13.17

XP(X) 00 0 0.75 01 0.6 1 0.25 10 1 1 0.4

X|W|P(W|X)||XY| P(YX) |ZW|P(W|Z) 0.4 00 0.3 01 0.7 10 0.1 11 0.9 XP(X) 00 0 0.75 01 0.6 1 0.25 10 1 1 0.4 0.6 00 0 1 10 11 0.2 0.8 0.8 0.2

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