Individuals in a certain country are voting in an election between 3 candidates: A, B and C. Suppose that independently each person votes for candidate A with probability 1, for candidate B with probability 2 and for candidate C with probability 1 1 2. (Thus, 0 1 + 2 1.) The parameters 1, 2 are unknown. Suppose that x1, . . . , xn are n independent, identically distributed samples from this distribution. (Let nA = number of xis equal to A, let nB = number of xis equal to B, and let nC = number of xis equal to C.) What are the maximum likelihood estimates for 1 and 2 in terms of nA, nB, and nC? (You don't need to check second order conditions.)