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Homework Help
Calculus and Beyond Homework Help
Sum of discrete uniform random variables
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[QUOTE="avidaware, post: 4849709, member: 520578"] [h2]Homework Statement [/h2] Let ##X_k## be iid uniform discrete on ##\{0,...,9\}##. Find the distribution of ##\sum\limits_{k=1}^{\infty} \frac{X_k}{10^k}##[h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I've tried a lot of things, I've tried decomposing ##X_k## into 10 bernoulli trials, I've tried using some form of central limit theorem. I've tried calculating the characteristic functions, then taking the limit and I get something really ugly. Any hints? I feel like there is some limit theorem I don't know. [/QUOTE]
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Calculus and Beyond Homework Help
Sum of discrete uniform random variables
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