In a digital communication system, transmissions of successive bits through a noisy channel are assumed to be independent events with error probability p. The probability of at most one error in the transmission of an 8-bit sequence is

A) $$\frac{{7\left( {1 - p} \right)}}{8}+\frac{{7\left( {1 - p} \right)}}{{8 + \frac{p}{8}}}$$ B) (1 - p)⁸ + 8p(t - p)⁷ C) (1 - p)⁸ + (1 - p)⁷ D) (1 - p)⁸ + p(1 - p)⁷

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Correct Answer: Option B

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In a digital communication system transmissions of successive bits through a...

In a digital communication system, transmissions of successive bits through a noisy channel are assumed to be independent events with error probability p. The probability of at most one error in the transmission of an 8-bit sequence is

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