Poisson Distribution Calculator

How does the Poisson Distribution Calculator work? Free Poisson Distribution Calculator - Calculates the probability of 3 separate events that follow a poisson distribution.It calculates the probability of exactly k successes P(x = k)No more than k successes P (x = k)Each scenario also calculates the mean, variance, standard deviation, skewness, and kurtosis. Calculates moment

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How does the Poisson Distribution Calculator work?

Free Poisson Distribution Calculator - Calculates the probability of 3 separate events that follow a poisson distribution.
It calculates the probability of exactly k successes P(x = k)
No more than k successes P (x <= k)
Greater than k successes P(x >= k)
Each scenario also calculates the mean, variance, standard deviation, skewness, and kurtosis.
Calculates moment number t using the moment generating function
This calculator has 4 inputs.

What 2 formulas are used for the Poisson Distribution Calculator?

λ p * n
P(k; λ) = λk/eλk!

For more math formulas, check out our Formula Dossier

What 9 concepts are covered in the Poisson Distribution Calculator?

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 itmeanA statistical measurement also known as the averagemomenta function are quantitative measures related to the shape of the functions graphpoisson distributiona discrete probability distribution that is used to show how many times an event is likely to occur over a specified period.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

Poisson Distribution Calculator Video


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Calculate the mean μ and variance σ2:
In the poisson distribution, mean and variance = λ
μ = λ
μ = 3

σ2 = λ
σ2 = 3

Calculate the standard deviation σ:
σ = √σ2
σ = √3
σ = 1.7321

Calculate Skewness:

Skewness  =  1
  λ

Skewness  =  1
  3

Skewness  =  1
  1.7320508075689

Skewness = 0.57735026918963

Calculate Kurtosis:

Kurtosis  =  1
  λ

Kurtosis  =  1
  3

Kurtosis = 0.33333333333333

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