Manuals/calci/HYPGEOMDIST

HYPGEOMDIST (sample_s,number_sample,population_s,number_population,cumulative)


  • is the sample's success.
  • is the sample's size.
  • is population's success.
  • is the population size.
    • HYPGEOMDIST(),returns the hypergeometric distribution.

Description

  • This function gives the result of Hypergeometric Distribution.
  • This distribution is a discrete probability distribution which is contrast to the binomial distribution.
  • A Hypergeometric random variable is the number of successes that result from a Hypergeometric experiment.
  • The probability distribution of a Hypergeometric random variable is called a Hypergeometric Distribution.
  • In HYPGEOMDIST (sample_s,number_sample,population_s,number_population,cumulative) where samples is the number of items in the Sample that are classified as successes.
  •   is the total number of items in the sample.
  •   is the number of items in the population that are classified as successes and   is the total number of items in the sample.
  • The following conditions are applied to the Hypergeometric distribution:
1.This distribution is applies to sampling without replacement from a finite population whose elements can be
classified into two categories like Success or Failure.
2.The population or set to be sampled consists of N individuals, objects,or elements 
3.Each individual can be  success (S) or a failure (F), and there are M successes in the population.
4.A sample of   individuals is selected without replacement in such a way that each subset of 
  size   is equally likely to be chosen.
  • The Hyper geometric probability distribution is:

  for   is an integer satisfying  . where   is sample's success.

  •   is the sample's size.
  •   is population's success and   is the population size.
  • Here we can give any positive real numbers.
  • Suppose we are assigning any decimals numbers it will change in to Integers.
  • This function will give result as error when
1.Any one of the argument is non-numeric.
2.  or samples is greater than the smaller value of numbersample or populations.
3.  is less than the bigger of 0 or(numbersample-numberpopulation+populations)
4.  or  
5.  or    or  

ZOS

  • The syntax is to calculate HYPGEOMDIST in ZOS is  
    •   is the sample's success.
    •   is the sample's size.
    •   is population's success.
    •   is the population size.
  • For e.g.,HYPGEOMDIST(2..3,6..7,9..10,20)
Hyper-geometric Distribution

Examples

  1. Draw 6 cards from a deck without replacement.What is the probability of getting two hearts?
Here M = 13 number of hearts
N = 52 total number of cards
so N-M= 52-13= 39 and 
x=2,n=6 so n-x=6-2=4
=HYPGEOMDIST(2,6,13,52)=0.315129882
  1. 42 balls are numbered 1 - 42.You select six numbers between 1 and 42. What is the probability that they contain (i)match 3, (ii) match 4
(i)Here M= 6,N=42,x=3and n=6
HYPGEOMDIST(3,6,6,42)=0.02722185
(ii)Here M= 6,N=42,x=4and n=6
HYPGEOMDIST(4,6,6,42)=0.001801446

Related Videos

Hyper-Geometric Distribution

See Also

References

Hypergeometric Distribution