# A communication channel consists of five relays through which all messages must pass. Suppose that..

A communication channel consists of five relays through which all messages must pass. Suppose that..
A communication channel consists of five relays through which all messages must pass. Suppose that bit switching errors of either kind (0 to 1, or 1 to 0) occur with probability .02 at the first relay. The corresponding probabilities for the other four relays are .03, .02, .01, and .01, respectively. If we define Xn = the parity of a bit after traversing the nth relay, then X0, X1, …, X5 forms a nonhomogeneous Markov chain (a) Determine the one-step transition matrices P1, P2, P3, P4, and P5. (b) What is the probability that a 0 bit entering the communication relay system also exits as a 0 bit? [Hint: Refer back to the previous exercise for information on nonhomogeneous Markov chains.] Apr 08 2022 03:26 PM

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