Chapter1 - Chapter 1: Probability Basics

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Unformatted text preview: Chapter 1: Probability Basics h4p://www.cartoonstock.com/directory/p/probability.asp Propor%on of Hearts 0.8 Propor%on of Hearts Frequen?st Interpreta?on 0.8 0.6 Trial 1 0.4 Trial 2 0.2 Trial 3 0 0 20 40 60 Number of draws 80 100 0.25 0.6 Trial 1 0.4 Trial 2 0.2 0.25 0 0 200 400 600 Number of draws 800 1000 Set Theory h4p://www.thescien?ficcartoonist.com/?p=102 Example 1– Set Theory Let U = R. For each n ∈ N, define An = (1 + 1/n, 4 – 1/n). Determine 3 3 a)  A n and A n i=1 n=1 I ∞ I b) A n and n =1 U ∞ UA i=1 n Example 2 – Set Theory Let U = R. a)  Are the sets Z and (2,3) disjoint? b)  Are the sets Z and [2,3) disjoint? 1.5 d) For each n ∈ N, let Bn = [n – 1, n]. Are Bn pairwise disjoint? ...
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This note was uploaded on 02/20/2012 for the course STAT 311 taught by Professor Staff during the Spring '08 term at Purdue.

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