6. 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:

(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?