4. Suppose that in Problem 1, -2-E. (In other words, the channel is symmetric.) Find the value ofe for which the input of the channel is independent of the output of the channel. Can such a channel be used to transmit information? tions channel is defined . The inputs and outputs are 0 or 1, and the probability that the input If the input is 0, the output is 1 (an error occurs) with probability If the input is 1, the output is 0 (an error occurs) with probability is 1 is p. 1 2- (a) Find the probability that the output is 0. (b) Find the probability that the input was 0 given that the output is 1. Find the probability that the input is 1 given that the output is 1. (c) Find an expression for the (unconditional) probability that an error 4. Suppose that in Problem 1, -2-E. (In other words, the channel is symmetric.) Find the value ofe for which the input of the channel is independent of the output of the channel. Can such a channel be used to transmit information? tions channel is defined . The inputs and outputs are 0 or 1, and the probability that the input If the input is 0, the output is 1 (an error occurs) with probability If the input is 1, the output is 0 (an error occurs) with probability is 1 is p. 1 2- (a) Find the probability that the output is 0. (b) Find the probability that the input was 0 given that the output is 1. Find the probability that the input is 1 given that the output is 1. (c) Find an expression for the (unconditional) probability that an error