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### Expected coverage after sampling with replacement 'k' times [duplicate]

Possible Duplicate: probability distribution of coverage of a set after X independently, randomly selected members of the set If I sample with replacement $k$ ...
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### The exact probability of observing $x$ unique elements after sampling with replacement from a set with $N$ elements

Say I sample with replacement from a set of $N$ unique elements s.t. elements are selected with uniform probability. If I sample with replacement $M$ times from this set, what is the exact ...
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### Statistical Inference Question

From Statistical Inference Second Edition (George Casella, Roger L. Berger) "My telephone rings 12 times each week, the calls being randomly distributed among the 7 days. What is the probability that ...
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### Estimate the number of elements by random sampling with replacement

Setup: $N$ numbered balls are in a bag. $N$ is unknown. Pick a ball uniformly at random, record its number, replace it, shuffle. After $M$ samples, of which we noticed $R$ repeated numbers, how can ...
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### Probability of having 'k' elements that occur only once in a multiset filled by sampling with replacement

Let's say that I have a set of unique elements, $P$, and a multiset $M$ that I fill with $N \leq ||P||$ elements by sampling with replacement from $P$. What is the probability that the multiset $M$ ...
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### Probability distribution for sampling an element $k$ times after $x$ independent random samplings with replacement

In an earlier question ( probability distribution of coverage of a set after X independently, randomly selected members of the set ), Ross Rogers asked for the probability distribution for the ...
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