This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: STAT 400 Examples for 08/23/2011 Fall 2011 Complement of A A ' ( not A , A , A c ) contains all elements that are not in A Intersection of A and B A B ( A and B , A B ) contains all elements that are in A and in B Union of A and B A B ( A or B ) contains all elements that are either in A or in B or both Axiom 1 Let A be any event defined over S. Then P ( A ) 0. Axiom 2 P ( S ) = 1. Axiom 3 If A 1 , A 2 , A 3 , are events and A i A j = for each i j , then P ( A 1 A 2 A k ) = P ( A 1 ) + P ( A 2 ) + + P ( A k ) for each positive integer k , and P ( A 1 A 2 A 3 ) = P ( A 1 ) + P ( A 2 ) + P ( A 3 ) + for an infinite, but countable, number of events. Theorem 1 . P ( A ' ) = 1 P ( A ) . Theorem 2 . P ( ) = 0. Theorem 3 . If A B, then P ( A ) P ( B ) . Theorem 4 . For any event A, P ( A ) 1. ! For any event A, 0 P(A) 1 !...
View
Full
Document
 Fall '08
 Kim
 Statistics, Probability

Click to edit the document details