A communications channel transmits the digits 0and 1.

Chapter 4, Problem 4.43

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A communications channel transmits the digits 0and 1. However, due to static, the digit transmittedis incorrectly received with probability .2. Supposethat we want to transmit an important messageconsisting of one binary digit. To reduce thechance of error, we transmit 00000 instead of 0 and11111 instead of 1. If the receiver of the messageuses majority decoding, what is the probabilitythat the message will be wrong when decoded?What independence assumptions are you making?

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