I've asked this before in a previous post, however, while not quite necessary then, the answer did not include full workings, and I think I sort of need that just now to make sure I understand this.A particle of mass has a random velocity, , which is normally distributed with parameters and . Find the density function of the kinetic energy.

I'm writing another semester test tomorrow, so I would appreciate if someone could show me how this is done.

(Not sure whether it would be classified as "bumping" to bring up the old topic again, I decided to just as well post it in a new thread. Please show full workings.)

Thanks in advance guys