Questions tagged [hypergeometric-distribution]

A discrete distribution used to model sampling without replacement.

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Geometric distribution without replacement

On an attempt to solve this problem I've managed to reduce it to finding the expected number of white balls picked until one black ball is observed (let's call that value $v$). Except that, unlike the ...
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Hypergeometric trials - Number of trials needed to achieve a given probability

Given a known number of white and black balls in an urn, what is the number of trials without replacement required to achieve a given x probability of drawing at least one white ball. Which function ...
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What is the probability of n people from a list of m people being in a random selection of x people from a list of y people?

If I am selecting 232 people from a pool of 363 people without replacement what is the probability of 2 of a list of 12 specific people being in that selection? This is a random draw for an ultra ...
• 365
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Closed form solution for the expectation of the square root of a hypergeometric variate

As the title states, is there a closed form formula for the expectation of the square root of a hypergeometric variable. Edit: Closed form approximate solutions based on related distributions or ...