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Assume that any binary symbol transmitted through the

Consider a chain of (n - 1) regenerative repeaters, with a total of n sequential decisions made on a binary PCM wave, including the final decision made at the receiver.

Assume that any binary symbol transmitted through the system has an independent probability p₁ of being inverted by any repeater. Let p_n represent the probability that a binary symbol is in error after transmission through the complete system.

a. Show that

b. If p₁ is very small and n is not too large, what is the corresponding value of p_n?

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