2. Consider the binary communication channel with X being the input to the channel and Y being the output of the channel. Then the possible values of X and Y are 0, 1. Suppose given that P(X = 0) = 0.4, P(Y = 0|X = 0) = 0.7, P(Y= 1|X = 1) = 0.9. Find (a) The joint distribution P(X = 7\