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2.52 Consider the following seemingly meaningless sentence: MAT CAT MAN MITTEN MAM
MEN EATEN. (a) Estimate the probabilities of each of the symbols in the sentence by
computing the relative frequency of the symbols. You may ignore spaces. (b) Compute the
average information for the sentence. (c) Obtain the Shannon-Fano code for each of the symbols
in the sentence. (d) Determine the average length of the codewords.

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