Questions tagged [hypergeometric-distribution]

Question 1

I'm studying basic level of probability. There is a theorem about hypergeometric. The $HGeom(w, b, n)$ and $HGeom(n, w+b-n, w)$ distributions are identical. That is, $X$ ~ $HGeom(w, b, n)$ and $Y$ ~ $...

Question 2

Let $X$ be a hypergeometric($2n$, $k$, $n$) random variable, which can be seen as the number of "good" balls out of $k$ balls taken uniformly at random, all at once, from a bag containing $...

Question 3

I am stuck on an apparently simple problem that has been perplexing me for several days, without finding a solution. Here is the question: I have seroprevalence estimates (i.e., the prevalence of ...

Question 4

I am having some issues understanding the concept of a hypergeometric random variable. I was studying this concept from the book, "Introduction to Probability Models" by S Ross. The thing ...

Question 5

Given $N, ~K \leq N$ and $n \leq N$, random variable $X\sim H(n,K,N)$ if $X$ counts the number of special items in a random sample of size $n$, obtained without replacement from population $N$ which ...

Question 6

I have hypergeometric distribution with population size N. I need to estimate population proportion p. I would like to use confidence interval. I have also three non-overlapped groups in my population....

Question 7

I am a math student working with a group of field biologists. In multiple experiments of mark-recapture of the same population, they claimed that if the number of observations (recaptures) is large ...

Question 8

I have a vector (length s) of observations, x are class "0" and s-x are class "1" and are drawn from a population of size N. Hence, they follow the hypergeometric distribution: $$H(...

Question 9

Let's say we have a deck of cards excluding face cards, so cards from Ace to 10. Which of these is the correct way of computing the probability that the sum of 4 randomly chosen cards is equal to 5? ...

Question 10

I know that for binomial and negative binomial RVs there is an additive property where if $X_1\sim bin(a, p)$ and $X_2\sim bin(b, p)$ then $X_1+X2 \sim bin(a+b, p)$ if $Y_1\sim NB(c, p)$ and $Y_1\sim ...

Question 11

Originally asked on MATHEMATICS. I am studying a population of $N$ bits, comprising $K$ ones and $N-K$ zeros. For sampling $n$ bits without replacement, the situation conforms to a hypergeometric ...

Question 12

I understand that Fisher's exact test applies to testing whether the proportion of an outcome in one group, $p_1$, differs from the proportion of the outcome in another group, $p_2$. This could be ...

Question 13

Let a population $C$ consist of $N$ values $c_1, c_2, \cdots, c_N$, with $c_i\in \{0,1\}$. Let $X_1, X_2, \cdots, X_n$ denote a random sample without replacement from $C$ and let $Y_1, Y_2, \cdots, ...

Question 14

I am given a bag containing marbles of two colors, with an unknown total number of marbles $N$. I randomly sample $n$ marbles ($n=n_1+n_2 < N$, where $n_1$ and $n_2$ are the number or marbles of ...

Question 15

If $X$ and $Y$ are independent binomial random variables with identical parameters $n$ and $p$, show analytically that the conditional probability of $X$, given that $X + Y = m$ is the hypergeometric ...

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Questions tagged [hypergeometric-distribution]

Symmetry argument in Hypergeometric distribution

Upper bounds on hypergeometric central moments

Accounting for varying estimate precision when comparing proportions

Did I understand the concept of Hypergeometric Random Variable correctly?

Correct intuition about hypergeometric RV and sampling without replacement

Confidence intervals when using stratified proportionate random sampling

Mark recapture with no knowledge of marked individuals

Fitting Hypergeometric distribution requires non-integer arguments?

Probability of selecting 4 cards that add up to 5 from a deck of 40 cards

Is there an additive property for hypergeometric random variables?

Analyzing Cumulative Distribution Functions in Sampling Without Replacement vs. With Replacement

Analogue of fisher's exact test for one group?

Concentration inequality for hypergeometric distribution

Estimating parameters of hypergeometric distribution when population size is unknown

Conditional probability given conditional probabilities [closed]

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