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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

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Proving an asymptotic property regard the fraction of '1' and '0' in binary sequences [closed]

Hello, Consider the set of sequences of zeroes and ones of length $N$ with $k$ ones (or, Np ones where $p=k/N$). We draw randomly and uniformly a sequence from this set. I want to show that with pro …