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Electronics and Communication Information Theory And Coding Difficulty: Medium

Consider a discrete memoryless source with source alphabet S = {s 0 , s 1 , s 2 } with probabilities P(s 0 ) = $$\frac{1}{4}$$, P(s 1 ) = $$\frac{1}{4}$$ and P(s 2 ) = $$\frac{1}{2}$$ The entropy of the source is

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