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Please help with the following question (Ignore part 4). Recall the AvengersNet discussed in class and shown in Figure 3 containing variables U : {Q3143

Please help with the following question (Ignore part 4).

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Recall the AvengersNet discussed in class and shown in Figure 3 containing variables U : {Q3143 Hal/WE: 3}- For for the following three queries, using the elimination orderings specied: (a) Show the steps that would be carried out in VB by showing the resulting formulation with additional factors, if any, after each variable is eliminated, (b) Write down the nal marginal distribution for the query. 1. p(H) order: [S,Q,E,A,W] 2. p(H, Q|el) order: [S,A,W] (Correction: this was previously [S,Q,E,A,W]) 3. p(W|sl, go) - order: you choose ordering 4. For the p(H) query, consider the alternate ordering [S,W,Q,E,A], how would this take advantage of an important fact about the independence of the variables in the network? \f

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