Difference between revisions of "Manuals/calci/HYPGEOMDIST"
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2.The population or set to be sampled consists of N individuals, objects,or elements | 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. | 3.Each individual can be success (S) or a failure (F), and there are M successes in the population. | ||
− | |||
4.A sample of n individuals is selected without replacement in such a way that each subset of size n is equally likely to be chosen. | 4.A sample of n individuals is selected without replacement in such a way that each subset of size n is equally likely to be chosen. | ||
*The Hyper geometric probability distribution is: | *The Hyper geometric probability distribution is: |
Revision as of 06:45, 10 December 2013
HYPGEOMDIST(n1,n2,n3,n4)
- is the sample's success.
- is the sample's size.
- is population's success.
- is the population size.
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(n1,n2,n3,n4) where n1 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 n individuals is selected without replacement in such a way that each subset of size n is equally likely to be chosen.
- The Hyper geometric probability distribution is:
foris 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 n1 is greater than the smaller value of n2 or n3. 3. is less than the bigger of 0 or(n2-n4+n3) 4. or 5. or or
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 2.42 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 3.