Question: Consider a random variable X that can take k different values, where the ith (1 i k) value is taken with probability pi . (a)

Consider a random variable X that can take k different values, where the ith (1 i k) value is taken with probability pi . (a) What is the maximum entropy that the random variable can take? (b) What are the values of the pi 's when the maximum entropy is achieved (as a function of k)

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