b) A discrete memoryless channel (DMC) has the graphical representation shown in Figure 3.1: (12) 0.8 0.2 0.2 0.8 Figure 3.1 Assume the source symbols are not equally probable, with pe₁ = x. i) Find the expressions for the partial mutual information for each symbol co and c1. (4 points) ii) What is the capacity of this channel? (3 points) iii) When x=1 0.3, find the input and output entropy. Compare them and comment on the comparison result. (5 points)