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URGENT please. (a) (8 points) The following table shows joint and marginal distributions for two random variables X and Y, with some entries missing. x

URGENT please.

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(a) (8 points) The following table shows joint and marginal distributions for two random variables X and Y, with some entries missing. x 1 X2 p(y) Make a copy of the table, and fill in the missing entries. yl 1/3 ? 2/3 y2 ? ? (b) (12 points) p(x) ? 2/3 ? After filling the table, Find: The Marginal Entropies H(X), H(Y) The Joint Entropy H(X, Y) The Conditional Entropies H(Y(X), H(XY) . The Mutual Information I(X; Y)

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