Hi if someone can help with this, it would be deeply
appreciated. Please show all work and write clearly, thank
you.
Digital "1"s are received as a Gaussian random variable with a Mean (M) = 3 volts and a standard deviation (0) = 0.7 volts. Digital "O"'s are received as a Gaussian random variable with a Mean (M) = 0.4 volt and a standard deviation (0) = 0.6 volts. When the received signal is greater than 2.0 volts it is assumed a “1” is received and when the received signal is less than 1.5 volts it is assumed that a "0" was received. A) If a "1" was transmitted 1) What is the probability that the receiver recognizes it as a “1”? 2) What is the probability that the receiver recognizes it as a "0" ? 3) What is the probability that the receiver is unsure if it is a "1" or a "0" ? B) If a "0" was transmitted 1) What is the probability that the receiver recognizes it as a “1”? 2) What is the probability that the receiver recognizes it as a "0" ? 3) What is the probability that the receiver is unsure if it is a "1" or a "0" ?
Hi if someone can help with this, it would be deeply appreciated. Please show all work and write clearly, thank you.
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