1. Consider the Bayesian network in the figure above. a. If no evidence is observed, are Burglary and Earthquake independent? Explain this from the numerical semantics and from the topological semantics. b. If we observe Alarm = true, are Burglary and Earthquake independent? Justify your answer explaining which of the probabilities involved satisfy the definition of conditional independence (no need to perform the actual calculation in class).
1. Consider the Bayesian network in the figure above. a. If no evidence is observed, are Burglary and Earthquake independent? Explain this from the numerical semantics and from the topological semantics. b. If we observe Alarm = true, are Burglary and Earthquake independent? Justify your answer explaining which of the probabilities involved satisfy the definition of conditional independence (no need to perform the actual calculation in class).
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
Problem 16RP
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1. Consider the Bayesian network in the figure above.
a. If no evidence is observed, are Burglary and Earthquake independent? Explain this from the numerical semantics and from the topological semantics.
b. If we observe Alarm = true, are Burglary and Earthquake independent? Justify your answer explaining which of the probabilities involved satisfy the definition of conditional independence (no need to perform the actual calculation in class).
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