Question: Problem 1. The feature space consists of three possible points (events) A, B, C, which occur with probability 0.1, 0.4, 0.5, respectively. For each event

 Problem 1. The feature space consists of three possible points (events)

Problem 1. The feature space consists of three possible points (events) A, B, C, which occur with probability 0.1, 0.4, 0.5, respectively. For each event there are two possible labels +1 or -1, which happen with probability 0.8, 0.3 and 0.1 respectively (that is, P(1|A) = 0.8, P(1|B) = 0.3, P(1 C) = 0.1). Determine the Bayes optimal classifier (as a function of the event, A,B,C). What is the expected loss of the Bayes optimal classifier

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