Hi, I need to calculate the density function of Z=X+Y, where X and Y are independent uniform distributed on [0,1]. The calculation is in the following:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f_{Z}(z)=\int_{A}dx[/tex]

a. If 0<z<1, A={x:0<x<z} then f(z) = z;

b. If 1<z<2, A={x:0<x<1} then f(z) = 1;

Step b is wrong, but I don't know where I am wrong. Any hint will be appreciated!

Thanks

gim

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help on the density of sum of two uniform variables.

**Physics Forums | Science Articles, Homework Help, Discussion**