# Hypergeometric distribution Calculator

## Calculates the probability mass function and lower and upper cumulative distribution functions of the hypergeometric distribution.

 successes of sample x x=0,1,2,.. x≦n sample size n n=0,1,2,.. n≦N successes of lot M M=0,1,2,.. x≦M lot size N N=0,1,2,.. M≦N 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Hypergeometric\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,n,M,N)={\large\frac{{}_MC_x\ {}_{N-M}C_{n-x}}{{}_NC_n}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,n,M,N)={\large\sum_{t=0}^{x}}f(t,n,M,N)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,n,M,N)={\large\sum_{t=x}^{M}}f(t,n,M,N)\\(4)\ expectation(mean):\hspace{10}{\large\frac{nM}{N}}\\$

Hypergeometric distribution
 [1-10] /17 Disp-Num5103050100200
[1]  2018/02/12 09:10   Male / 50 years old level / A teacher / A researcher / A little /
Purpose of use
gene enrichment analysis
[2]  2017/11/25 22:50   Male / 60 years old level or over / A retired people / Very /
Purpose of use
To decide the composition of a charity club membership working party comprising experienced members & other members so that the probability that at least one or more experienced member(s) would be included. This gave a cumulative >90% chance of the condition being fairly met.
Comment/Request
Worked brilliantly & reduced the arguments between members a) Those always doing the work b) Ensured greater participation.
c) Saved me having to do the math.
Love this program.
[3]  2017/09/29 07:06   Male / 30 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
tutoring
Comment/Request
Show work for the calculations
[4]  2017/03/14 10:42   Male / Under 20 years old / Elementary school/ Junior high-school student / Very /
Purpose of use
Magic the gathering land probability
[5]  2015/04/20 20:09   Male / 40 years old level / A teacher / A researcher / Very /
Purpose of use
Statistic analises for biomedical research
[6]  2015/03/08 03:47   Female / 60 years old level or over / A teacher / A researcher / Useful /
Purpose of use
Estimate statistical significance of research data
[7]  2014/11/23 06:00   Female / Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
For our statistics class
[8]  2014/11/17 02:15   Male / 30 years old level / Self-employed people / A little /
Purpose of use
Trying to calculate, if a million random people spontaneously died right now, what the chances are that someone I love would be among them. Unfortunanately, a population size of 7.3 billion is not something the calculator was able to cope with. :)
[9]  2014/06/26 09:15   Female / 20 years old level / A teacher / A researcher / Very /
Purpose of use
Test for overlap in lists of differentially expressed genes
[10]  2013/08/02 11:50   Male / 60 years old level or over / A teacher / A researcher / A little /
Purpose of use
Stks problems for EdX course

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