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8. (10 points) The parts of this question can be answered with short sentences. No rigorous proof is necessary. a. Is the quantity E(X|Y): a)

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8. (10 points) The parts of this question can be answered with short sentences. No rigorous proof is necessary. a. Is the quantity E(X|Y): a) a number, b) a function of X, or c) a function of Y? b. If two random variables have the same mean and variance, do they have to have the same third moment also? c. Do two dependent random variables have to have nonzero covariance

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