Question: 4. Consider the problem of sending a binary message, 0 or 1, through a signal channel consisting of several stages, where transmission through each stage

4. Consider the problem of sending a binary message, 0 or 1, through a signal channel consisting of several stages, where transmission through each stage is subject to a fixed probability of error 0.2. Let Xo be the signal that is sent, and let X,, be the signal that is received at the nth stage. Suppose that Xn is a Markov chain with transition probabilities Poo = Pli = 0.8 and Pol = Plo = 0.2. Determine P(X10 = 0|Xo =0), the probability of correct transmission through ten stages

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