Hypergeometric Distribution Calculator

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Calculate the mean μ:

μ =	nk
	N

μ =	10 x 24
	60

μ =	240
	60

μ = 4

Calculate the variance σ2

σ2 =	nk(N - k)(N - n)
	N2(N - 1)

σ2 =	(10)(24)(60 - 24)(60 - 10)
	602(60 - 1)

σ2 =	(240)()()
	3600(59)

σ2 =	0
	212400

σ2 = 0

Calculate the standard deviation σ:
σ = √σ2
σ = √0
σ = 0

How does the Hypergeometric Distribution Calculator work?

Free Hypergeometric Distribution Calculator - Calculates the probability of drawing x objects out of a subgroup of k with n possibilities in a total group of N using the hypergeometric distribution.
This calculator has 4 inputs.

What 3 formulas are used for the Hypergeometric Distribution Calculator?

P(x;n,N,k) = (kCx) * (N - kCn - x)/NCn
μ = nk/N
σ2 = nk(N - k)(N - n)/N2(N - 1)

For more math formulas, check out our Formula Dossier

What 10 concepts are covered in the Hypergeometric Distribution Calculator?

combinationa mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
nPr = n!/r!(n - r)!distributionvalue range for a variableeventa set of outcomes of an experiment to which a probability is assigned.factorialThe product of an integer and all the integers below ithypergeometric distributiondiscrete probability distribution that describes the probability of k successes (random draws for which the object drawn has a specified feature) in ndraws, without replacementmeanA statistical measurement also known as the averagepermutationa way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!probabilitythe likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomesstandard deviationa measure of the amount of variation or dispersion of a set of values. The square root of variancevarianceHow far a set of random numbers are spead out from the mean

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