# 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)

## Examples

- 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

- 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

## See Also

## References