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Alice sees XX uniform on {0,1}\{0,1\} and Bob sees Y=XNY = X \oplus N with NBernoulli(0.1)N \sim \mathrm{Bernoulli}(0.1). Using h2(0.1)0.469h_2(0.1) \approx 0.469, compute I(X;Y)I(X;Y) in bits, to three decimal places.
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