1 The Markov blanket of a variable is defined in section 2.2. Prove that a variable is independent of all other variables in the network, given its Markov blanket and derive Equation (12).

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Radio Battery Ignition Starts Gas Moves Figure 21 A Bayesian network describing some features of a car's electrical system and engine. Each variable is Boolean, and the true value indicates that the corresponding aspect of the vehicle is in working order.