hw2Solutions2013

# Compute pwd tg t by variable elimination report

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Unformatted text preview: ion and Likelihood Weighting Your friendly neighborhood TA, like most other TAs, is intent on world domination. His first step, obviously, was to build a graphical model, as shown in the figure below. The variables are: Graduate (G), Free Food (FF), The Force (TF), Knowledge (K), Money (M), Power (R) and World Domination (WD). All the variables are binary valued {T,F}. The conditional probability tables in the figure denote P(A = T | B=T …) and P(A = T | B=F …). (a) How likely is the TA to take over the world, if he manages to graduate? Compute P(WD = T|G = T) by variable elimination. (Report the ordering used and the factors produced after eliminating each variable for the query.) Eliminate ¬G from M M P(M|G=T) T 0.6 F 0.4 Join WD and R WD M R P(WD=T,R|M) = P(WD|M,R)*P(R|M) T T T 0.7*0.7 = 0.49 T T F 0.5*0.3 = 0.15 T...
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