What is Hypergeometric Distribution?
The Hypergeometric Distribution is a discrete probability distribution that describes the number of successes in a fixed number of Bernoulli trials (i.e. trials with only two possible outcomes: success or failure) without replacement.
The probability mass function (PMF) of the hypergeometric distribution is given by: P(X = x) = (C(K,x) * C(N-K,n-x)) / C(N,n)
The Hypergeometric Distribution is used to model the probability of observing a certain number of "successes" in a fixed number of draws from a finite population, where the probability of success changes on each draw. It is used in many fields such as genetics, quality control, and sampling inspection, in which the sample is drawn without replacement.
How to Calculate Variance of Hypergeometric Distribution?
Variance of Hypergeometric Distribution calculator uses Variance of Data = (Sample Size*Number of Success*(Population Size-Number of Success)*(Population Size-Sample Size))/((Population Size^2)*(Population Size-1)) to calculate the Variance of Data, Variance of Hypergeometric Distribution formula is defined as the expectation of the squared deviation of the random variable that follows Hypergeometric distribution, from its mean. Variance of Data is denoted by σ^{2} symbol.
How to calculate Variance of Hypergeometric Distribution using this online calculator? To use this online calculator for Variance of Hypergeometric Distribution, enter Sample Size (n), Number of Success (N_{Success}) & Population Size (N) and hit the calculate button. Here is how the Variance of Hypergeometric Distribution calculation can be explained with given input values -> 1.09154 = (65*5*(100-5)*(100-65))/((100^2)*(100-1)).