Let the joint probability (mass) function of X and Y be given by the following: Values of Y 1 2 1 1/3 1/6 Values of X 2 1/6 1/3 a) Find E(X+Y) b) Find E(XY) c) Find Cov(X, Y) and Corr(X, Y). Check both of them are positive.

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Let the joint probability (mass) function of X and Y be given by the following:
Values of X
2
1/6
1/3
Values of Y
1
2
1
1/3
1/6
a) Find E(X+Y)
b) Find E(XY)
c) Find Cov(X, Y) and Corr(X, Y). Check both of them are positive.
Transcribed Image Text:Let the joint probability (mass) function of X and Y be given by the following: Values of X 2 1/6 1/3 Values of Y 1 2 1 1/3 1/6 a) Find E(X+Y) b) Find E(XY) c) Find Cov(X, Y) and Corr(X, Y). Check both of them are positive.
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