Below are the Theorems 2 and 4 used for Question 2 which I need help with parts a-c!

2. Mixed strategy Nash equilibrium using Theorems 2 and 4 (8 points}. This question will test your understanding of Theorems 2 and4. Consider the following game. a) What is the pure strategy Nash equilibrium in this game? {2 points). b) Show.r that there is no mixed strategy Nash equilibrium in which each player assigns positive probability to each of her pure s1rategies. {3 points). c) Check whether there is a mixed strategy Nash equilibrium in which player 1 plays pure strategy T and player 2 assigns positive probability to each of her pure strategies. If yes, nd all the Nash equilibria {including mixed strategy Nash equilibrium) satisfying these conditions. {3 points}