I've found interesting probabilistic excersise, it seemed easy, but somehow I'm stuck.
Let's take a rod/stick of unitary length($x \in [0; 1]$). Rod is broken into two pieces in random spot.
What is needed to be found is expected value and variance of the ratio of the shorter part to the longer one.
I tried using uniform distribution, but I failed. Looking for hints, but also for an answer.
Thanks in advance!