Q.1. A discrete memoryless source transmits messages $[A_1, A_2, A_3]$ with respective probabilities $[rac{1}{2}, rac{1}{4}, rac{1}{4}]$. The source is connected to the channel given in Fig. 1. Determine (a) H(X). (b) H(Y). (c) I(X; Y). (d) Channel capacity.