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Events (or random variables) are independent when information on some of them tells you nothing about the probability of occurrence (/ distribution) of the others. Please DO NOT use this tag for independent variable use [predictor] instead.

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Find some expectation of two random variable given the joint distribution

I have the following joint distribution for the random variable (X,Y): Now, I have to compute the following expectations: $E(X|Y)$ $E(X+Y^2 | Y)$ Now, for the first point, the procedure was the fol …
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