This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Study Sheet for Math 3225, Final Exam December 13, 2010 This test will NOT be open note; however, I will give you some selected notes from the course to use during the final. 1. Know basic definitions and results from set theory; for example, know the two forms of de Morgan’s law, know distributive rule of intersection and union (whichs says A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C ) and A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C )). Also know injective, surjective, bijective maps, and how to prove that various maps have these properties. 2. Know the definition of a sigma algebra: S is a sigmaalgebra means that i) S contains the empty set. ii) If A ∈ S , then A ∈ S iii) If A 1 ,A 2 ,... is a countable collection of sets in S , then their union blongs to S . 3. Know the Kolmogorov axioms of probability: P : σ → [0 , 1] is a probability measure from the sigmaalgebra σ consisting of certain subsets of S (the sample space) if i) P ( S ) = 1 ii) If A 1 ,A 2 ,... is a disjoint collection of sets in σ , then P ( A 1 ∪ A 2 ∪··· ) = P ( A 1 ) +...
View
Full
Document
This note was uploaded on 10/23/2011 for the course MATH 3225 taught by Professor Staff during the Spring '08 term at Georgia Tech.
 Spring '08
 Staff
 Statistics, Set Theory, Probability

Click to edit the document details