Lecture5 - lecture 5, Probability I 1/29 Experiment, Sample...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

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

Unformatted text preview: lecture 5, Probability I 1/29 Experiment, Sample Space and Event The Concept of Probability Classical Method Long-Run Relative Frequency Method Subjective Probability Some Event Operations and Elementary Probability Rules lecture 5, Probability I Outline 1 Experiment, Sample Space and Event 2 The Concept of Probability Classical Method Long-Run Relative Frequency Method Subjective Probability 3 Some Event Operations and Elementary Probability Rules lecture 5, Probability I 2/29 Experiment, Sample Space and Event The Concept of Probability Classical Method Long-Run Relative Frequency Method Subjective Probability Some Event Operations and Elementary Probability Rules lecture 5, Probability I Experiment, Sample Space and Event Experiment An experiment is any process of observation with an uncertain outcome • Examples: • toss a coin • roll a die • draw a card • play a football game • ... lecture 5, Probability I 3/29 Experiment, Sample Space and Event The Concept of Probability Classical Method Long-Run Relative Frequency Method Subjective Probability Some Event Operations and Elementary Probability Rules lecture 5, Probability I Experiment, Sample Space and Event Sample Space The sample space of an experiment is the set of all possible outcomes , usually denoted by S • Examples: 1 toss a coin: {a head, a tail} 2 roll a die: {1,2,3,4,5,6} 3 draw a card: {ace of clubs, ace of diamonds, ace of hearts, ace of spades, 2 of clubs,..., king of spades} 4 play a football game: {win, loss, tie} lecture 5, Probability I 4/29 Experiment, Sample Space and Event The Concept of Probability Classical Method Long-Run Relative Frequency Method Subjective Probability Some Event Operations and Elementary Probability Rules lecture 5, Probability I Experiment, Sample Space and Event Example: Genders of Two Children A newly married couple plans to have 2 children • What’s the sample space? • The sample space S = { } lecture 5, Probability I 5/29 Experiment, Sample Space and Event The Concept of Probability Classical Method Long-Run Relative Frequency Method Subjective Probability Some Event Operations and Elementary Probability Rules lecture 5, Probability I Experiment, Sample Space and Event Event An event is a subset of the sample space, i.e., a set of possible outcomes • Examples: 1 toss a coin: {a head} 2 roll a die: {no more than 3} = { } 3 draw a card: {ace} = {ace of spades, ace of diamonds, ace of hearts, ace of clubs} 4 Play a football game: {not a loss} = { } lecture 5, Probability I 6/29 Experiment, Sample Space and Event The Concept of Probability Classical Method Long-Run Relative Frequency Method Subjective Probability Some Event Operations and Elementary Probability Rules lecture 5, Probability I Experiment, Sample Space and Event Genders of Two Children ( ctd) Sample space S = { BB , BG , GB , GG } The event {one boy and one girl} = {at least one girl} = . lecture 5, Probability I 7/29 Experiment, Sample Space and Event The Concept of Probability...
View Full Document

Page1 / 29

Lecture5 - lecture 5, Probability I 1/29 Experiment, Sample...

This preview shows document pages 1 - 8. Sign up to view the full document.

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