Question: 6. Problem 6. Let X and Y be nonnegative random variables with E[X] = 2, E[Y] = 3, Var(X) = 1, Var(Y) = 4, and

6. Problem 6. Let X and Y be nonnegative random variables with E[X] = 2, E[Y] = 3, Var(X) = 1, Var(Y) = 4, and Cov(X, Y) = -2. S (a) Compute E[2X - 3Y + 4). (b) Compute Var(X - Y + 9). (c) Use Chebyshev's Inequality to provide a lower bound for P(3

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