Question: Let X and Y be two (continuous or discrete) random variables with E(X)=7, E(Y)=10, Var(X)=4, Var(Y)=16, Cov(X,Y)=2. Find (a) Cov(2X-5Y, 4X+2Y); (b) Var(2X+7Y+5); (c) E

Let X and Y be two (continuous or discrete) random variables with E(X)=7, E(Y)=10, Var(X)=4, Var(Y)=16, Cov(X,Y)=2. Find (a) Cov(2X-5Y, 4X+2Y); (b) Var(2X+7Y+5); (c) E ( X2 + 2Y2 ). (d) By using one-sided Chebyshev's inequality estimate P(X> 12). (d) By using Markov's inequality estimate P(X2 + 2Y? _ 570)

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