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XX is a fair bit, Y=XZY = X \oplus Z with ZBernoulli(0.1)Z \sim \mathrm{Bernoulli}(0.1), and the Wyner-Ziv encoder sees only XnX^n. Compute H(XY)H(X \mid Y) in bits, the rate a lossless Wyner-Ziv code must reach.
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