Question: Problem 2. A probability distribution on the real line is a mixture of two classes +1 and 1 with density N (0, 1) (normal distribution

 Problem 2. A probability distribution on the real line is a

mixture of two classes +1 and 1 with density N (0, 1)

Problem 2. A probability distribution on the real line is a mixture of two classes +1 and 1 with density N (0, 1) (normal distribution with mean 0 and variance 1) and N (3, 1), with prior probabilities (probability of each class) 0.4 and 0.6 respectively. What is the Bayes decision rule? Give an estimate for the Bayes risk

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