An important part of Statistics is Hypergeometric Distribution. The knowledge of statistics cannot be implemented in its true sense, without the knowledge of hypergeometric distribution. It is a technical field of study and learning it requires basic statistical knowledge. This distribution was first used in 1936. In the following discussion we will be focusing on what a hypergeometric distribution is, its formula and how it is calculated.

There are many statistical distributions in statistics. These mainly include binomial distribution, poisson distribution, negative distribution, negative binomial distribution, geometric distribution etc. The hypergeometric distribution measures probability. Now the question is what is probability? Probability is the chance of occurrence of an event. Hypergeometric distribution calculates the probability for a random selection of an object without repetition. In other words, it measures the probability of a specified number of successes in a trial, without replacement, for a finite population. It is calculated with the help of following formula:

Formula

h(x; N; n; k) = [ _kC_x] [ _N-kC_n-x] / [_NC_n]

Where:

N is the total population size

n is the total sample size

k is the number of selected items from the population size

x is a random variable

This formula has three parameters that is N, k and n.

For the calculation of hypergeometric distribtion, there is calculator available on internet that can help simplify your burden of manually calculating it. This calculator appears in the following manner:

Hypergeometric Distribution Calculator

Population Size ____________________

Sample Size ____________________

Number of success in population ____________________

Number of success in sample ____________________

Calculate

Results

Hypergeometric Distribution: ____________

Cumulative hypergeometric distribution: ____________

By using this online calculator for the calculation of hypergeometric distribution, you are only required to fill in the above fields and click the calculate button and your hectic job is done in no time. In calculation of probability for a random selection of goods, hypergeometric distribution is a main tool. Following are the properties of this distribution:

• There are two kinds of outcomes of each trail that is success or failure.
• On every trial, the probability of success will vary.
• Dependence is an important function of this distribution. The respective trials are always dependent.
• It is necessary to repeat the experiment for a fixed number of times for the sake of accuracy.
• The mean of hypergeometric distribution is n * k / N

Hypergeometric distribution is an important part of probability distribution and serves as one of the main concepts in Statistics.