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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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Sample $k$ of $n$ numbers (with replacement), what is the probability for a certain from the... [closed]

Suppose we have ordered numbers $a_1 < a_2 < \dots < a_n$. Now we sample $k$ of them with equal probability and with replacement and compute the median of these and call it $m$. (Let us assume that $k …