Consider two symbols, A and B, with the probability of occurrence of 0.8 and 0.2, respectively. The coding efficiency can be improved by combining N symbols at a time (called "symbol blocking"). Say N = 3, so you are grouping symbols of 3 and giving them a unique code. (Assume that each symbol occurrence is independent of previous symbol occurrences). How many types of different outcomes are there and what are their probabilities? (2 points) Show the arrangement of symbols on the unit interval [0, 1] and determine the arithmetic code for the three-symbol sequence. (6 points) What is the average code word length? (2 points)