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Lecture 4: Poisson Approximation to Binomial Distribution ...

Lecture 4: Poisson Approximation to Binomial Distribution ; Measures of Center and Variability for Data (Sample); Chapter 2 No Lab this week, Questions in Lab# 2 are related to this week s Hw#2 is due by 5pm, next Monday Poisson Approximation for the Binomial Distribution For Binomial Distribution with large n, calculating the mass function is pretty nasty So for those nasty large Binomials (n 100) and for small (usually ), we can use a Poisson with = n ( 20) to approximate it! Example Density (for Continuous) and Mass (for Discrete) functions tell you the chance/proportion/probability that a variable takes a certain value Need to know the Distribution expression both used to rigorously describe populations or processes How to know w

Binomial Distribution • For Binomial Distribution with large n, calculating the mass function is pretty nasty • So for those nasty “large” Binomials (n ≥100) and for small π (usually ≤0.01), we can use a Poisson with λ = nπ (≤20) to approximate it!

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