4. (20 points} Consider the following game. There are two players 1 and 2. Player 1's strategies are T, M and B and player 2's pure strategies are L, C and R. The payoffs are given in the following table: (a) {5 points } Does there exist a mixed strategy equilibrium where each player mixes between all her strategies with positive probability ? [b] {5 points} Does there exist an equilibrium where player L mixes with strictly positive probability between strategies T and M, Le, an equilibrium where player 1 plays T and M with strictly positive probability '2' If so* nd such an equilibrium. {e} {10 points] Does there exist an equilibrium where player 2 mixes strictly between strategies L and C 'E" If so nd all such equilibria