1.33 ( ) Suppose that the conditional entropy H[y|x] between two discrete random variables x and y...

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1.33 ( ) Suppose that the conditional entropy H[y|x] between two discrete random variables x and y is zero. Show that, for all values of x such that p(x) > 0, the variable y must be a function of x, in other words for each x there is only one value of y such that p(y|x) = 0.

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