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

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Problem 2. A probability distribution on the real line is a mixture of two classes +1 and 1 with density N (1,2) (normal distribution with mean 1 and variance 2) and N (4, 1), with prior probabilities 0.4 and 0.6 respectively. What is the Bayes decision rule? Give an estimate for the Bayes risk

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