Hypergeometric distribution related calculation

发布日期 : 2019-12-25 02:15:57 UTC      

分类 : Geometric

在下面列表中选择要计算的内容, 在左下角输入相关数据后, 单击“计算”按钮进行计算。
计算分布表
给定一个小于n的整数k进行计算
用于计算累积函数的逆函数
计算落在区间内和区间外的概率。
N is the total number of elements, M is the number of first type elements, n是样本数量。 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,Ensure that N ≥ M ≥ n. 单击“计算”按钮进行计算。
M=
n=


k01234567891011
p            
1 概率函数
1 分布函数

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.

<img alt="" src="/static/upload/9d/9d7767e6-257b-11eb-b72d-00163e0618d6_m.jpg" style="width:477px;" >