Homework Statement
Let ##X_k## be iid uniform discrete on ##\{0,...,9\}##. Find the distribution of ##\sum\limits_{k=1}^{\infty} \frac{X_k}{10^k}##Homework Equations
The Attempt at a Solution
I've tried a lot of things, I've tried decomposing ##X_k## into 10 bernoulli trials, I've tried using...