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Consider a binary communications channel. Logical 0 is encoded with +1 Volt, and logical 1 with -1 Volt. Transmissions in the channel are corrupted by

Consider a binary communications channel. Logical 0 is encoded with +1 Volt, and logical 1 with -1 Volt. Transmissions in the channel are corrupted by uniformly distributed noise, which takes values between -2 Volts and +2 Volts. Find the probability that the received voltage was less than zero and that logical zero was sent.

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