In the binary communication channel in the lecture notes let

In the binary communication channel in the lecture notes, let us define the events Xi = bit i is transmitted {i = 0 or 1) Yj = bit j is received (j = 0 or 1) The prior (or a priori) probabilities are given by P(X0) = 1 - P(X1) = 0.4 and the channel transition probabilities are P(Y0|X0) = P(Y1|X1) = 0.95 and P(Y0|X1) = P(Y1|X0) = 0.05 (a symmetric channel). Find the two joint probabilities corresponding to errors [i.e., P(Y2 Xi), j zj, and the two joint probabilities corresponding to correct transmititions [i.e., P(Y2 Xi), j = i|. Use the results of to find the error rate. Pe (see lecture notes). Repeat (a) and (b) if P(X0) = 0.7 and P(Y0|X0) = P(Y1|X1) = 1. How would you characterize this channel (give a one or two word description)?

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