Discrete Probability Distributions

Discrete Probability Distribution

A discrete probability distribution is a function with a domain whose elements are the discrete values that a discrete random variable can assume, and a range whose elements are the probabilities associated with the values in the domain. The domain of a discrete probability distribution consists of the sample points of a discrete sample space. The sum of all the probability values in the range is equal to 1. The mean and variance of a discrete probability distribution are the mean and variance, respectively, of all elements in its range.

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Uniform Distribution
Bernoulli Distribution
Binomial Distribution
Multinomial Distribution
Hypergeometric Distribution
Geometric Distribution
Negative Binomial Distribution
Poisson Distribution
Binomial Approximation to the Hypergeometric Distribution
Poisson Approximation to the Binomial Distribution
 
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