jQuery animation to make a png appear at a random point on the screen?

Again, working on a Chrome extension here. This time, I'm looking to make a transparent png appear at a random place within the window. I feel like I could somehow use jQuery .animate() somehow? I would like to make the image appear somewhere random on the screen, or have it appear on top of a random element on the screen, be it text of an image etc. I have not an idea where to even begin. Any ideas? All input appreciated!

via Chebli Mohamed