POISSON AND BINOMIAL

Analysis of the relationship between the two random variables [brown line]


A Poisson random variable is related to the binomial random variable. Here is the reason:

A Poisson random variable X is defined by its PMF where is a constant.

A binomial random variable X is defined by its PMF The Poisson random variable can approximate the binomial random variable because if n is large and p is small, then for

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RELATED
CONCEPTS

Random Variables
Probability Mass Function
Cumulative Distribution Function
Expectation of a Discrete Random Variable
Important Discrete Random Variables
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