A binary erasure channel skips a transmission if the received symbol is indeterminate with probability p and is characterized by the channel matrix [P(Y/X)] = [" = [1-pp 0 p 0 1-p with {0,1} as the input alphabet and {0, e, 1} as the output alphabet. 1. Draw the corresponding channel diagram. 2. If the source produces equally likely outputs, find the probabilities associated with the channel outputs for p = 0.2 and the corresponding average input/output mutual information. 3. Determine the channel capacity and the input distribution which achieves it