A discrete memoryless source has alphabet {1, 2} where the symbol 1 has duration 1 and the symbol…

A discrete memoryless source has alphabet {1, 2} where the symbol 1 has duration 1 and the symbol 2 has duration 2. The probabilities of 1 and 2 are p1 and p2, respectively. Find the value of p1 that maximizes the source entropy per unit time H(X)/ElX. What is the maximum value H?

 
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