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(i) For the sequence of (jointly distributed) random variables X1, X2, . . ., Xn, Yl, Y2, ..., Yn, show the following: (a) If X1,

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(i) For the sequence of (jointly distributed) random variables X1, X2, . . ., Xn, Yl, Y2, ..., Yn, show the following: (a) If X1, X2, ..., Xn are independent, then n I(X1, X2, . . . , Xn; Yl, Y2, . .., Yn) 2> I(Xi; Yi). i=1

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