6+3+ b) There are eleven symbols with probabilities given in the table. Symbols Probabilities Symbols Probabilities Symbols Probabilities xl 0.02 X 0.3 0.15 0.05 X6 0.2 x10 0.05 3 0.15 X7 0.15 xll 0.05 X4 0.04 0.2 i. Encode them using Hullman coding over GF(3). ii. Find the entropy of your encoding scheme in "ternary digits per symbol". 111. Find the average code length of your encoding scheme