Question: The source coding theorem shows that the optimal code for a random variable X has an expected length less than H(X)+1 bits per source symbol.

The source coding theorem shows that the optimal code for a random variable X has

an expected length less than H(X)+1 bits per source symbol. Give an example of a random

variable for which the expected length of the optimal code exceeds H(X) + 1 bits per

source symbol for an arbitrary 0 < < 1.

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