Multiple Random Variable trouble

Hi, I'm having issues with Probability and Statistics problems. Particularly the following type

If X[1] and X[2] are independent exponential random variables

with parameters lambda[1] and lambda[2] respectively, find the

distribution of Z=X[1] / X[2]. Also compute P(X[1] < X[2])

I'm guessing I need to find the distribution for F(Z) and then I can just find when that is less than 1. But I don't know how to do that. Any advice? Thanks!

Re: Multiple Random Variable trouble

Hi,

Have a read at this:

Ratio distribution - Wikipedia, the free encyclopedia

Under the section 'Derivation' you have the integral that you need to compute for your first question.

jens