- #1

- 169

- 0

## Homework Statement

The joint PDF (probability density function) ##p_{X,Y}(x,y)## of two continuous random variables by:

$$ p_{X,Y}= Axy e^{-(x^2)}e^{\frac{-y^2}{2}}u(x)u(y)$$

a) find A

b) Find ##p_X (x), \ p_{y}, \ p_{X|Y}(x|y), and \ p_{Y|X}(y|x)##

## Homework Equations

The first coulpe pages of this presentation has some information on this form. http://berlin.csie.ntnu.edu.tw/Courses/Probability/2011Lectures/PROB2011F_Lecture-09-Continuous%20Random%20Variables%20-Conditioning,%20Expectation%20and%20Independence.pdf

## The Attempt at a Solution

Im stuck on part A. This is somewhat similar to my last question in a previous thread. I just dont see how to solve for A. My text book has some examples of very similar form but the contant A is not present. Im not sure why they provide an example one way and then ask questions of a different way. To spark your thinking I guess.

I do know I have to mess around with some double integrals and what not but I need to resolve the unknown constant A first.

Any hints are greatly appreciated!

Thanks!