Correlated Strategies Question with public and mediated communication

Consider the following game in strategic form. L C R U minim D (a) Show that the correlated strategy p such that MILL) : 4X5 and p(D,C) : 1,15 is a correlated equilibrium with public cemmunication. (b) Show that the correlated strategy.r p such that p[U,L} = 1/2, p(U. C) = p(D,L) = 3f2n and 111(1), 0') = 1/5 is a correlated equilibrium with mediated communication. (c) Consider a correlated strategy.r ,0 such that p[U,R) = 1/10. Show that p is not a correlated equilibrium with mediated communication