# Question

A Gaussian random variable has a probability density function of the form

(a) Find the value of the constant.

(b) Find the values of the parameters m and σ for this Gaussian random variable.

(a) Find the value of the constant.

(b) Find the values of the parameters m and σ for this Gaussian random variable.

## Answer to relevant Questions

A Gaussian random variable has a PDF of the form Write each of the following probabilities in terms of Q- functions (with positive arguments) and also give numerical evaluations: (a) (X > 17), (b) (X > 4), (c) (X > 15), (d) ...The phase of a sinusoid, ϴ, is uniformly distributed over so that its PDF is of the form (a) (b) (c) Prove the following properties of the Gamma function. (a) Γ (n) = (n–1)! For n = 1,2,3,…. (b) Γ (x + 1) = x Γ (x) (c) Γ (1 / 2) = √x. Repeat Exercise 3.39 if is a Rayleigh random variable with PDF, (a) Find the conditional PDF, fv|{v > 1}(v) . (b) Find the conditional PDF, fv|{1/2 < v < 3/2}(v). (c) Find the conditional CDF,fv|{1/2 < v < 3/2}(v) fv (v) ...A random variable has a CDF given by Fx (x) = (1 –e –z) u (x). (a) Find Pr (X > 3). (b) Find Pr (X < 5| X > 3). (c) Find Pr (X > 6 | X > 3). (d) Find Pr (|X –5| < 4||X –6| > 2).Post your question

0