Probability distribution

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English: In mathematics and statistics, a probability distribution, more properly called a probability density, assigns to every interval of the real numbers a probability, so that the probability axioms are satisfied. In technical terms, a probability distribution is a probability measure whose domain is the Borel algebra on the reals.
Deutsch: In der Wahrscheinlichkeitstheorie ist die Wahrscheinlichkeitsverteilung eine Funktion, die Ereignissen Wahrscheinlichkeiten zuordnet.
Polski: W matematyce i statystyce pojęcie rozkład prawdopodobieństwa, bardziej poprawnie gęstość prawdopodobieństwa, przyporządkowuje każdemu przedziałowi liczb rzeczywistych wartość oczekiwaną prawdopodobieństwa wystąpienia zdarzenia w tym przedziale.

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Probability mass function for the Poisson distribution

Cumulative mass distribution for Poisson distribution

Probability mass function for the uniform distribution

Cumulative mass distribution for uniform distribution

Probability density function for the normal distribution

Cumulative distribution function for the normal distribution

Probability density function for the exponential distribution

Cumulative distribution function of the exponential distribution

Probability density function for the Gamma distribution

Cumulative distribution function for the Gamma distribution

Probability density function for the chi-square distribution

Cumulative density function for the chi-square distribution

Probability density function for the Inverse-gamma distribution

Cumulative distribution function for the Inverse-gamma distribution

Probability density function for the Voigt profile

Cumulative density function for the Voigt profile

Probability density plot of the Pareto distribution

Cumulative probability distribution function for the Pareto distribution

Probability density function for the Cauchy distribution

Cumulative distribution function for the Cauchy distribution

Probability density function for the Beta distribution

Cumulative distribution function for the Beta distribution

Probability density function for the Laplace distribution

Cumulative distribution function for the Laplace distribution

Probability density function for the Half-logistic distribution

Cumulative distribution function for the Half-logistic distribution
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