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  3. problem 3 a binary message either 0 or 1 is...

Question: problem 3 a binary message either 0 or 1 is...

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Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent over the wire is subject to channel noise disturbance. If x is the value sent (either 0 or 1), then the value received at the other end is R-x+x, where Ņ represents the noise. Assume that Ņ is a normal random variable with mean μ 0 and variance σ2-0.04. Assume that a message sent is equally likely to be 0 or 1. When the message is received the receiver decodes it according to the following rule: If R she concludes the message is 0, and otherwise concludes it is 1. What is the probability that the message is received correctly?

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