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Question 2

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Question 2. (5 points) A binary message is transmitted as a signal 3, which is either —1 or +1. The communication channel corrupts the transmission by adding noise N, which is distributed as a Gaussian with mean ,u = 0 and variance U2. The receiver observes the sum Y = s + N and concludes that the signal —1 (or +1) was transmitted if Y 6. CI (or Y 2 0, respectively). Calculate the probabilities of error P (receiver concludes that +1 was received | — 1 was transmitted] P (receiver concludes that —1 was received | + l was transmitted]

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