This is a Coding & Information Theory question

3. (24%) (Huffman Code) (1) Construct a binary Huffinan code for a source with probabilities Pi = 0.3, 0.2, 0.15, 0.15, 0.1, 0.1. and find its average word-length. (2) Find a binary Huffiman code, which has the minimal total word-length 0 () = Lili, for a source with probabilities P: = 1/3, 1/3, 1/6, 1/6 (3) Let S be a source of two symbols {51, 52} with probabilities%, and 4. Find the probability distribution for 5, and compute the average word-length L, of binary Huffiman code for 53