Question: A binary message is transmitted on a noisy channel as a signal S which is either -1 or 1. The communication channel corrupts the message

A binary message is transmitted on a noisy channel as a signal S which is either -1 or 1. The communication channel corrupts the message and introduces additive noise which is a Normal random variable with mean μ = 0 and variance ο 2 = 1.44. The receiver interprets the received signal R as -1, if the value received is <0 and as +1 if the value received is ≥ 0. What is the probability of error?

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