POISSON AND BINOMIAL
Analysis of the relationship between the two random variables
![]()
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
![]()
RELATED
CONCEPTSRandom Variables Probability Mass Function Cumulative Distribution Function Expectation of a Discrete Random Variable Important Discrete Random Variables ![]()
Copyright © 1998 Rensselaer Polytechnic Institute. All Rights Reserved.