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Let the joint probability (mass) function of X and Y be given by the following: Values...

Let the joint probability (mass) function of X and Y be given by the following:
Values of X

1 2
1 1/3 1/6
Value of Y 2 1/6 1/3
(a) Find E(X + Y ). (b) Find E(min(X; Y )). (c) Find E(XY ).
(d) Find Cov(X; Y ) and Corr(X; Y ). Check both of them are positive.

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