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solve this problem Problem 3 (3 points) Consider a classification problem for (Y, X), where Y is a binary random variable taking values in C

solve this problem

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Problem 3 (3 points) Consider a classification problem for (Y, X), where Y is a binary random variable taking values in C = {0, 1). We assume that the binary random variable Y given X is generated in the following way. Let Y = /(2X - > 0), where /(.) is the indicator function, & ~ Uniform[0, 1] and & is independent of X. (Hint: the c.d.f of a uniform distribution on [0, 1] is P(E

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