Consider a binary classification problem for which you know that the conditional class probabilities are given by: P1(c) = Pr(Y = 1|X = x) and P0(c) = Pr(Y = 0|X = x) = 1 - P1(c). Find the optimal Bayesian classifier (Hint: Your classifier should be of the form: if T(c) ∈ [a,b] then y = 1, where a and b are two scalars you need to find).