Assume that in the detection of a digital signal the background noise follows a normal distribution with a mean of 0 volt and a standard deviation of 0.45 volts. The system assumes a digital 1 has been transmitted when the voltage exceeds 0.9 volts. What is the probability of detecting a digital 1 when none was sent? What is the probability of detecting a digital 0 where the voltage signal is within -0.5 and 0.5 volts?
Assume that in the detection of a digital signal the background noise follows a normal distribution with a mean of 0 volt and a standard deviation of 0.45 volts. The system assumes a digital 1 has been transmitted when the voltage exceeds 0.9 volts. What is the probability of detecting a digital 1 when none was sent? What is the probability of detecting a digital 0 where the voltage signal is within -0.5 and 0.5 volts?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![Assume that in the detection of a digital signal the
background noise follows a normal distribution with a mean
of 0 volt and a standard deviation of 0.45 volts. The system
assumes a digital 1 has been transmitted when the voltage
exceeds 0.9 volts. What is the probability of detecting a
digital 1 when none was sent? What is the probability of
detecting a digital 0 where the voltage signal is within -0.5
and 0.5 volts?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f37e793-adab-4fc8-b37f-60c6ba8270c1%2Fa53a82ec-519b-461f-a0af-c8a958e0b747%2F0vx8d8k_processed.png&w=3840&q=75)
Transcribed Image Text:Assume that in the detection of a digital signal the
background noise follows a normal distribution with a mean
of 0 volt and a standard deviation of 0.45 volts. The system
assumes a digital 1 has been transmitted when the voltage
exceeds 0.9 volts. What is the probability of detecting a
digital 1 when none was sent? What is the probability of
detecting a digital 0 where the voltage signal is within -0.5
and 0.5 volts?
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