A communication channel accepts X that is either 00 or 01 or 10 or 11. The channel transmits each bit binary input with probability p and enormously with probability (1-p) and gives out Y as output. Find the entropy of the input Hy Find the entropy of the output Hy Find the entropy of the input given the output Hxy=00 Find the entropy of the input given the output Hxy Find the mutual information between input and output I(X;Y)