post5 - STAT 511-2 Spring 2012 Lecture 5 Jan 20, 2012 Jun...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 STAT 511-2 Spring 2012 Lecture 5 Jan 20, 2012 Jun Xie 2 Introduction of Probability Probability is a chance measurement defined on sample space and for events of a random experiment. An experiment is any activity or process whose outcome is subject to uncertainty. The sample space of an experiment, denoted by S , is the set of all possible outcomes of that experiment. Example Experiment of tossing a coin, S ={Head, Tail} Experiment of tossing a die, S ={1,2,3,4,5,6} An event is any collection (subset) of outcomes contained in the sample space. An event is simple if it consists of exactly one outcome and compound if it consists of more than one outcome. Event = Set Operations 1. Complement A’= S \A 2. Union, ? ∪ ? , “A or B” 3. Intersection, ? ∩ ? , “A and B” Example 8 Let S ={0,1,2,3,4,5,6}, A={0,1,2,3,4}, B={3,4,5,6}, C={1,3,5}. Then A’={5,6} ? ∪ ? ={0,1,2,3,4,5,6}= S ? ∪ ? ={0,1,2,3,4,5} ? ∩ ? ={3,4} ? ∩ ? ={1,3} ( ? ∩ ? ) ={0,2,4,5,6} Null event
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

post5 - STAT 511-2 Spring 2012 Lecture 5 Jan 20, 2012 Jun...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online