Bayes Classifier. Suppose that Y {0, 1} and P(Y = 1) = 1/2. The distribution of X|Y = 0 is discrete and is specified by P (X = 1|Y = 0) = 1/3 P (X = 2|Y = 0) = 2/3. The distribution of X|Y = 1 is discrete and is given by P (X = 2|Y = 1) = 1/3 P (X = 3|Y = 1) = 2/3. Find the Bayes Classifier (also called as Bayes optimal classification rule).