Solve the following problem:
The noise voltage in an electric circuit can be modeled as a Gaussian random variable with mean equal to zero and variance equal to 10-8.
1. What is the probability that the value of the noise exceeds 10-4? What is the probability that it exceeds 4 × 10-4? What is the probability that the noise value is between -2 × 10-4 and 10-4?
2. Given that the value of the noise is positive, what is the probability that it exceeds 10-4?