Figure 2: A Decision Network Consisting of Booelan Chance Nodes Pr(C1) A C1 0.2 A C1 Pr(C3) A Pr(C2) t t 0.6 t 0.1 C2 C3 ft 0.2 f 0.2 t/f 0.0 C2 C3 R t t 2 U f t -1 t f 1 ff -2 Decision Networks Figure 2 is a decision network consisting of a Boolean action variable A, three Boolean chance variables C1, C2 and C3 and a utility node U. So this network represents a decision problem where the agent has two options that it can take: a or ma Note: In the following, give your answer to 2 decimal places. (a) Assume that the agent can observe the value of C1 before it needs to act, but not the values of C2 or C3. What is the rational action when the agent observes that C1 =t, and what is the rational choice when it observes that C1 = f? [16 marks] (b) Now suppose that the agent cannot observe the value of any of the three chance variables before it needs to act (i.e., you should now assume that the values of C1, C2 and C3 are all hidden). What action should the agent take? [9 marks]