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Actually all the results are independent of the choices p(x) and p(y), if all the terms in these distributions are different from zero.
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The entropy of a probability distribution P(a) is H (a) =- Σ P (a) log2 P (a). The binary entropy function is h (x) =-x log2 x- (1-x) log2 (1-x).
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The entropy of a probability distribution P(a) is H (a) =- Σ P (a) log2 P (a). The binary entropy function is h (x) =-x log2 x- (1-x) log2 (1-x).
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