Suppose that, in a decision network, the decision variable Run has parents Look and See. Suppose you are using VE to find an optimal policy and, after eliminating all of the other variables, you are left with a single factor:

Look See Run Value true true yes 23 true true no 8 true false yes 37 true false no 56 false true yes 28 false true no 12 false false yes 18 false false no 22

(a) What is the resulting factor after eliminating Run? [Hint: You do not sum out Run because it is a decision variable.]

(b) What is the optimal decision function for Run?

(c) What is the value of information about Look for the decision Run for the decision network where See is a parent of Run? That is, if the agent has the information about See, how much more is the information about Look worth?