Lecture5_updated

Lecture5_updated - L ect ur e 5 11t h M ay 2011 •...

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Unformatted text preview: L ect ur e 5 11t h M ay 2011 • Example: I n how many ways can a set of 4 object s be par t it ioned int o 3 subset s cont aining, r espect ively, 2, 1 and 1 of t he object s? 6. Special Ser ies: Pr obabilit y Rules and Condit ional Pr obabilit y 1. P(S)=1 Pr oof: 2. For any event A, 0≤ P(A)≤ 1 Pr oof: • What do set s have t o do wit h t he occur r ence of event s? • Venn Diagr ams: T hese ar e used t o i llust r at e t he r elat ionship among set s. • The u nion of event s • The i nter section of event s • The complement of event s • Two special event s: 1.The w hole sample space, S, wher e P(S)=1 2. The empty event (null set ), φ, wher e P(φ)=0 • Example: Exer cise 4.1.1 ...
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Lecture5_updated - L ect ur e 5 11t h M ay 2011 •...

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