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S= {0,1}? = {S1, S2, S3, S4}, where s1=00, S2=01, S3=10 and S4=11. These occur with relative frequencies f1=0.6, f2=f3=0.15, f4=0.1 [ frequencies which you can infer that the original file has a lot of zeroes comparing to ones) a) Find the encoding scheme and compression ratio arrived at by applying Huffman's algorithm to S with the source frequencies. b) Assume that each sis;+s? occur with relative frequency fif in the source stream. (so, for instance, 0001 occurs among consecutive four-bit strings in the original file with relative frequency fif2= = (0.6) (0.15) =0.09) c) Find the encoding scheme and the compression ratio achieved by applying Huffman's algorithm to S? [ remarks- the encoding scheme here will be 16 lines) d) Compute the source entropy and the Shannon bond on the compression ratio