Suppose X and Y are independent random variables. Y a. What is the correlation coefficient of X and X - Y? Your answer will be in terms of var(X) and var(Y). b. What is the conditional expectations of E[(X -Y)|X] and E[(X - Y)²|X]? You answer could be in terms of X, Y, E(X), E(X²), E(Y), and E(Y²).

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