Problem 2. (36 points) For this question, consider the following decision problem. A decision maker must choose one of three actions: A, B, or C. The outcome of each action is uncertain, as follows. If action A is chosen, there are two possible outcomes. With probability 0.2 the reward is 100, and with probability 0.8 the reward is 400. If action B is chosen, there are three possible outcomes. With probability 0.25 the reward is 200, with probability 0.5 the reward is 250, and with probability 0.25 the reward is 300. If action C is chosen, there are two possible outcomes. With probability 0.8 the reward is 0, and with probability 0.2 the reward is 500. To answer questions next 3 sub-parts, below, draw and then analyze a decision tree that corre- sponds to the decision-maker's problem, above. You do not need to submit the decision tree. (a) Which choice is the decision maker's maxi-min decision? Action A Action B Action C None of these. (b) Which choice is the decision maker's maxi-max decision? Action A Action B Action C None of these. (c) Which choice is the decision maker's expected-value-maximizing decision? Action A Action B Action C None of these