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. .