(Answered) 1 assume the following alphabet with eight symbols where

1) Assume the following alphabet with eight symbols, where each symbol has the listed probability of occurrence.

Symbol    Probability of Occurrence
000            .15
001             .1
010            .05
011 .4
100             .025
101    .02
110             .005
111              .25

(a) Assuming that symbols are compressed using Huffman Coding and that the most likely symbol is encoded as a 0, what is the decompressed value of the following compressed string of bits? 11011101111001111101111110111111110

(b) For the Huffman Code that corresponds to the alphabet shown in the table above,
what is the average number of bits needed to encode each 3-bit symbol?

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