1) Below in Figure 1, there are two different discrete memoryless channels as W: XY,i=1,2,|2|=|Y| = 5. For both channels, all the transitions have equal probability which is 0.5. Wa W 1 b 1. 1 1 1 2. V N 2 N 2 w N 3 3 39 3 4 4. 4 4. 4 5. 5 5. 5 Figure 1 a) Compute the capacity of the channels Wa and W. b) Consider only channel Wa. 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 Wa, calculate the error probability of decoding