Consider the limiter g(x) shown in the figure below (left).
What is the pdf of the output variable Y = g(X) if the input variable is Gaussian with mean a/2 and variance 1.
Let X be a uniform r.v. over the interval (1, 3]. What is cdf and pdf of Y = 1/X?
Consider the Laplace variable X with pdf given by
f X ( x ) = a2 e − a | x |
What is the cdf and pdf of Z = X3?