you did the hard work, you just need to review calc 2
done
are independent random variables that all have a uniform distribution, U(0,1).
Prove that if then as n approaches infinity, converges in distribution to an Exp(1) random variable.
I've done a little bit but I have confused myself and I don't know what to do with it now (and im not even sure if Im on the right track ).
So
and this is where I get lost. I think maybe.....
but then where to go from here I dont know, which makes me doubt the accuracy of what I have done. Thanks for any help you can provide me with.