Question: Consider the Bayesian network in Figure 14.2. a. If no evidence is observed, are Burglary and Earthquake independent? Prove this from the numerical semantics and

Consider the Bayesian network in Figure 14.2.

a. If no evidence is observed, are Burglary and Earthquake independent? Prove this from the numerical semantics and from the topological semantics.

b. If we observe Alarm = true, are Burglary and Earthquake independent? Justify your answer by calculating whether the probabilities involved satisfy the definition of conditional
independence.

Figure 14.2.

P(B) P(E) Burglary Earthquake .001 .002 P(A) 95 Alarm .94 .29 001 A P(J) A P(M) MaryCalls JohnCalls .90 70 |f .05

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