Please help with 2.B

2. Mixed Strategies and Athletes on Steroids. Suppose two athletes are competing in an important race and either athlete has a choice of whether they should take performance enhancing steroids or not. Although there is a risk of getting caught, if one takes the dnig the other doe_s1_1_'_t,the one who does is likely to win and the payoff to winning is enough to offset the expected cost of getting caught If both take the drug, neither athlete gets the edge and both face the chance of getting caught and punished, in which case, both are better off if neither took the drug. The game is given below. Horst q ['11 Steroids No Drugs Jonathan p Steroids (0, 0) (6, 2) 1 11 No Drugs (1, 4) (3, 3) (2 A) What is the mixed strategy for Horst? What is the percentage (q) of the time that he will randomly take steroids to enhance his performance? What is the probability (1 q) that he will not? Show your work. Find (1' that makes Jonathan indierent between taking steroids and not taking them, (4 points) (2 B) Trace out the expected payoffs for the Row Player (Jonathan) for each of its strategies for given levels of q chosen by Horst What is the expected equilibrium payoff for Jonathan? Do the calculation. (8 points) Jonathan's Payoff 7 7 4 4 3 3 O l__u V: \"29