cumulative distribution function

[ulissess]

i have two random variables x e y independent and they're uniform on the interval [0, 1] find cumulative distribution function of Z= (x+y)/(x-y)

i just try to solve...

is it right?

 

[tkhunny]

1) Are you sure you solved correctly for Y?

2) In particular, if and when you multiplied by "x-y", did you take into account that it MAY be negative?

3) \(\displaystyle \frac{x+y}{x-y}\) has Domain problems for x = y. When you get to the end, I have to wonder if z=1 is related to that.

 

[ulissess]

(x+y)/(x-y)< z ==> i have 2 disequations x-y > 0 and x+y - z(x-y) < 0 but how can i change it in interval for integral???