Question: 2.2. Consider the problem of sending a binary message, 0 or 1, through a signal channel consisting of several stages, where transmission through each stage

2.2. 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

a. Let X0 be the signal that is sent and let X be the signal that is received at the nth stage. Suppose X,, is a Markov chain with transition probabilities P® = P = 1 - a and Po, = PO =

a, (0 < a < 1). Determine Pr{XS = OIXO = 0), the probability of correct transmission through five stages.

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