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			<gallery>
			File:Combined_Cumulative_Distribution_Graphs.png\|Combined Cumulative Distribution Graphs
			File:Standard_deviation_diagram.svg\|Standard Deviation Diagram
			File:Dice_Distribution_(bar).svg\|Dice Distribution (Bar)
			File:Discrete_probability_distrib.svg\|Discrete Probability Distribution
			File:Discrete_probability_distribution.svg\|Discrete Probability Distribution
			File:Normal_probability_distribution.svg\|Normal Probability Distribution
			File:Mixed_probability_distribution.svg\|Mixed Probability Distribution
			File:Rabinovich_Fabrikant_2314.png\|Rabinovich Fabrikant 2314
			</gallery>

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2024-02-25T18:58:48Z

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'''Probability distribution''' is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range. This range will be between the minimum and maximum statistically possible values, but where the possible value is likely to be plotted on the probability distribution depends on a number of factors. These factors include the distribution's mean (average), standard deviation, skewness, and kurtosis.

== Definition ==
In [[statistics]], a '''probability distribution''' can be defined as a function that describes the likelihood of obtaining the possible values that a random variable can assume. In other words, the values of the variable correspond to the outcomes of a random phenomenon, and the probability of each value represents the frequency of the outcome when the phenomenon is performed a large number of times.

== Types of Probability Distributions ==
There are many types of probability distributions in statistics including:
* [[Normal Distribution]]
* [[Binomial Distribution]]
* [[Poisson Distribution]]
* [[Exponential Distribution]]

== Normal Distribution ==
The [[Normal Distribution]], also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

== Binomial Distribution ==
The [[Binomial Distribution]] is a probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials with the same probability of success. The Bernoulli distribution is a special case of the binomial distribution where a single trial is conducted.

== Poisson Distribution ==
The [[Poisson Distribution]] is a probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event.

== Exponential Distribution ==
The [[Exponential Distribution]] is the probability distribution that describes the time between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate.

== See Also ==
* [[Statistical Theory]]
* [[Statistical Analysis]]
* [[Probability Theory]]

[[Category:Statistics]]
[[Category:Probability Distributions]]
[[Category:Mathematical and Quantitative Methods]]

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Probability distribution - Revision history

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