Hypergeometric distribution related calculation


Select the content to be calculated in the list below, after entering the relevant data in the lower left, click the 'Calculate' button to do the calculation.
Calculated Distribution Table
Given an integer k less than n for calculation
Inverse functions for calculating cumulative functions
Calculate the probability of falling inside and outside the interval.
N is the total number of elements, M is the number of first type elements, n is the number of samples. This option calculates the distribution rate of X. If n > 11, only the first 12 probability values are displayed. Enter N, M and N below, click the 'Calculate' button to do the calculation.
M=
n=
N is the total number of elements, M is the number of first type elements, n is the number of samples.
Given a nonnegative integer k not greater than n, Calculate P{X=k}, P{X≤k }, P{X>k}。 After entering N, M, n and k below, click the 'Calculate' button to do the calculation.
M=
n=
k=
N is the total number of elements, M is the number of first type elements, n is the number of samples.
Given a probability a, find a real number when the value of K is close to that real number, P{Xk}approximated to a. After entering N, M, n and a below, click the 'Calculate' button to do the calculation.
M=
n=
a=
N is the total number of elements, M is the number of first type elements, n is the number of samples. Find the probability that X falls in and out of the interval (X1,X2]. After entering N, M, n ,X1 and X2 below, click the 'Calculate' button to do the calculation.
M=
n=
x1=
x2=


k 0 1 2 3 4 5 6 7 8 9 10 11
p                        
1 Probability function
1 Distribution function

App description

Hypergeometric distribution is a kind of discrete probability distribution in statistics. It describes the number of successful extraction of n objects from a finite number of objects (including M objects of the specified class) without putting them back. It is called hypergeometric distribution because its form is related to the coefficient of series expansion of "hypergeometric function".

The parameters of hypergeometric distribution are M, N, n, which are denoted as X~H (N, M, n).

This page is about the calculation of hypergeometric distribution. There are N elements in two categories.

There are M belonging to the first category and the remaining N-M belonging to the second category. Sampling from the ground

Take n, n is not greater than M or greater than N-M, let X denote the first class of the n elements

For the number of primes, X obeys the hypergeometric distribution.

 

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