Find the distribution functions of X+Y/X and X+Y/Z, given that X, Y, and Z have a common exponential distribution.
I think the main thing is that I wanted to confirm the distribution I got for X+Y. I'm doing the integral, and my calculus is a little rusty. I'm getting -e^-ax - ae^-as with parameters x from -infinity to infinity.
From there presumably I can just treat X+Y like one variable and then divide by z.
Thanks so much!