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4) (8+8+9=25p) A source emits a random variable X which can take four values with probabilities {0.47, 0.19, 0.16, 0.08, 0.05, 0.05) a) Construct a binary Huffman code for X. Compute its expected length. b) Construct a ternary Huffman code for X. Compute its expected length. c) Show that the codeword length assignments for part a and b are both optimal