Below in Figure 1, there are two different discrete memoryless channels as W:X Y,i = 1, 2,|2|=|Y|=5 . For both channels, all the transitions have equal probability which is 0.5. W 1. W2 1- 2. 2. 39 V 30 4 5. 5 5 Figure 1 a) Compute the capacity of the channels W ,W2. b) Consider only channel W. Suppose the following code C of length n=2 and cardinality M=5: C = {(11),(24),(32),(45),(53)} i. ii. Find the rate of the code C? If code C is used in the transmission over channel W, calculate the error probability of decoding? Below in Figure 1, there are two different discrete memoryless channels as W:X Y,i = 1, 2,|2|=|Y|=5 . For both channels, all the transitions have equal probability which is 0.5. W 1. W2 1- 2. 2. 39 V 30 4 5. 5 5 Figure 1 a) Compute the capacity of the channels W ,W2. b) Consider only channel W. Suppose the following code C of length n=2 and cardinality M=5: C = {(11),(24),(32),(45),(53)} i. ii. Find the rate of the code C? If code C is used in the transmission over channel W, calculate the error probability of decoding