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**Unformatted text preview: **Lecture 4: Poisson Approximation to Binomial Distribution; Measures of Center and Variability for Data (Sample); Chapter 2 No Lab this week, but… • Questions in Lab# 2 are related to this week’s topics… • 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 π (usually ≤ 0.01), we can use a Poisson with λ = n π ( ≤ 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 which distribution is applicable? à See Chapter 2 • Numerical measures for both samples and populations • Bring Your Calculator from now on… 2.1 Measures of Center (Data) • The sample mean – arithmetic average...

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