Problem 3 (5 pts) Consider a decision problem where you have a set of non-randomized decision rules that yields the following risk combinations depending on which of the two possible states of nature, 0 and 1, is true. The resulting set of risk points is described by the curve y=1x2 where y=R(1,), and x=R(0,) for non-negative risks. 1. Find the non-randomized decision rule that is optimal according to the minimax principle and highlight it within the plot. Calculate the minimax-optimal risk. 1 2. Elaborate, how you can improve the risk using a randomized decision rule instead of the minimax rule. Add the set of admissible randomized decision rules to the graphic. Determine the randomized decision rule that is minimax. Is it R-better than the non-randomized decision rule