1. ## Joint pdf

A point is chosen at random from the interior of a circle whose equation is x^2 + y^2 ≤ 4. Let the random variables X and Y denote the x- and y-coordinates of the sampled point. Find fX,Y (x, y).

Thank you.

2. ## Re: Joint pdf

Hey mglen.

Hint: You need to define some attributes for the X and Y random variables. If everything is uniform and X and Y are independent random variables then the PDF is proportional to the area of the region.

3. ## Re: Joint pdf

Originally Posted by mglen