we want to study the quality of a noisy communication channel of a digital camera. for this, we consider that the source delivered the colors is modeled by the following transition matrix: P [P(Y/X)] = 0.50 0.30 0.20 0.001 0.00 0.50 0.30 0.20 0.20 0.00 0.50 0.30 L030 020 000 050. 1) Is it symmetric.? 2) Give the channel diagram. 3) For equiprobable inputs, calculate the probabilities at the output of channel. comment the result.? 3) Calculate the mutual information and deduce the capacity.?