Let X and Y be discrete random variables with joint probability mass func- tion defined by...

 

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Let X and Y be discrete random variables with joint probability mass func- tion defined by the following table X\Y 1 2 3 Px(x) 1/9 1/9 0 2/9 2 1/3 0 1/6 1/2 3 1/9 1/18 1/9 5/18 Py (y) 5/9 1/6 5/18 1 Compute E(XY = i) for i = 1, 2, 3. Are X and Y independent? Let X and Y be discrete random variables with joint probability mass func- tion defined by the following table X\Y 1 2 3 Px(x) 1/9 1/9 0 2/9 2 1/3 0 1/6 1/2 3 1/9 1/18 1/9 5/18 Py (y) 5/9 1/6 5/18 1 Compute E(XY = i) for i = 1, 2, 3. Are X and Y independent?