# Question

Let X be a standard normal random variable (i. e., X ~ N ( 0,1)). Find the PDF of Y= |X|.

If the transformation is

If the transformation is

## Answer to relevant Questions

Consider a Gaussian random variable, X , with mean µ and variance σ2. The random variable is transformed by the device whose input– output relationship is shown in the accompanying figure. Find and sketch the PDF of the ...Let X be a Cauchy random variable whose PDF is given by Find the PDF of Y = 1 / X. For some integer and constant , two discrete random variables have a joint PMF given by (a) Find the value of the constant in terms of L. (b) Find the marginal PMFs, P M (m) and PN (n). (c) Find Pr (M + N < L / 2). Suppose a pair of random variables is uniformly distributed over a rectangular region, A: x1 < X < x2, y1 < Y < y2. Find the conditional PDF (X, Y) of given the conditioning event (X, Y) Ɛ B, where the region B is an ...Let θ be a phase angle which is uniformly distributed over (0, 2π. Suppose we form two new random variables according X = cos (aθ) and Y = sin (aθ) to and for some constant a. (a) For what values of the constant are the ...Post your question

0