(30 Points) Note: You are encouraged to use MATLAB to automate the calculations on this problem, but it is not required. Please include all code with your solution if yOu do. Consider a random variable X with a ternary alphabet with symbols {11. B, C} with probabilities [0.66. 0.6(1 6). 0.4}. where H is a modeling parameter. a) (15 Points) Assuming a uniform prior on .9, what is the arithmetic codeword for the sequence X4 = AACB? b) (15 Points) Suppose we assume a Betax) prior where a = 1 and ,6 = 5. How does the arithmetic code developed in (a) change