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## Homework Statement

Hello! I'm trying to understand how to solve the following type of problems.

1) Random variables x and y are independent and uniformly distributed on the interval [0; a]. Find probability density function of a random variable z=x-y.

2) Exponentially distributed (p=exp(-x), x>=0) random variables x and y are independent. Find probability density function of a random variable z=x-y.

## Homework Equations

Can someone please check if my attempt to solve the problems is successful or not? I'd appreciate any help :)

## The Attempt at a Solution

(Attached file)

Thank you in advance[/B]