# Question

Suppose we measure the noise in a resistor (with no applied voltage) and find that the noise voltage exceeds 10 µV 5% of the time. We have reason to believe the noise is well modeled as a Gaussian random variable, and furthermore, we expect the noise to be positive and negative equally often so we take the parameter, m , in the Gaussian PDF to be m = 0. Find the value of the parameter, σ2. What units should be associated with σ2 in this case.

## Answer to relevant Questions

Now suppose we modify so that in addition to noise in the resistor there is also a weak (constant) signal present. Thus, when we measure the voltage across the resistor, we do not necessarily expect positive and negative ...Repeat Exercise 3.2 for the case where the random variable has the CDF Find the following quantities: (a) Pr(X < 2) (b) Pr(X > 4) (c) Pr (1< X< 3) (d) Pr(X > 2|X < 4) A digital communication system sends two messages, M = 0 or M = 1, with equal probability. A receiver observes a voltage which can be modeled as a Gaussian random variable, X, whose PDFs conditioned on the transmitted ...In this problem, we revisit the light bulb problem. Recall that there were two types of light bulbs, long- life ( L) and short- life ( S) and we were given an unmarked bulb and needed to identify which type of bulb it was by ...Suppose X is a binomial random variable with parameters n and p . That is, the PMF of X is given by Find the PMF of a new random variable generated through the transformation, Y= n–X.Post your question

0