The feature space consists of three possible points (events) A, B, C, which occur with probability 0.3, 0.6, 0.1, respectively. For each event there are two possible labels +1 or −1, which occur with probability 0.1, 0.2 and 0.9 respectively (that is, P (1|A) = 0.1, P (1|B) = 0.2, P (1|C) = 0.9). Determine the Bayes optimal classifier (as a function of the event, A,B,C). What is the expected (classification) loss of the Bayes optimal clas- sifier? Find the regression function and compute its expected (square) loss.