Problem 2 The noise voltage in an electric circuit is modeled as a Gaussian random variable X with a mean equal to zero (m = 0) and a variance equal to 108 (σ² = 10-8). a. What is the probability that the value of the noise exceeds 10-4? P(X > 10-4) = ? b. What is the probability that the noise value is between -2 × 10-4 and 10-4? P(-2 × 10 4 x < 10-4) = ?

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Problem 2
The noise voltage in an electric circuit is modeled as a Gaussian random variable X with a mean
equal to zero (m = 0) and a variance equal to 108 (σ² = 10-8).
a. What is the probability that the value of the noise exceeds 10-4? P(X > 10-4) = ?
b. What is the probability that the noise value is between -2 × 10-4 and 10-4?
P(-2 × 10 4 x < 10-4) = ?
Transcribed Image Text:Problem 2 The noise voltage in an electric circuit is modeled as a Gaussian random variable X with a mean equal to zero (m = 0) and a variance equal to 108 (σ² = 10-8). a. What is the probability that the value of the noise exceeds 10-4? P(X > 10-4) = ? b. What is the probability that the noise value is between -2 × 10-4 and 10-4? P(-2 × 10 4 x < 10-4) = ?
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