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Question 10 Suppose that the following is true for random variables X and Y: E(X)=3, E(Y)=2, V(X)=25, V(Y)=36, xy = 0.5. Find E(2X + 2Y

Question 10

Suppose that the following is true for random variables X and Y: E(X)=3, E(Y)=2, V(X)=25, V(Y)=36,xy = 0.5.

  1. Find E(2X + 2Y + X2 + 2Y2 + 2XY)
  2. Find V(4X + 4Y)
  3. Let W = 4X+5 and Z = 7Y-3. Find V(2W+Z)

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