• Co-organizer of 2005 INFORMS Applied Probability Conference, Ottawa, Canada • Chair, INFORMS Applied Probability Society, 2004-2006 • Council Member, INFORMS Applied Probability Society, 2002-2010 • Member, International Scientific Advisory Board, Mathematics of Information Technology and Complex Systems, 2006-2012
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What is Probability and Statistics and
Why Should You Care?
CS 3130: Probability and Statistics for Engineers
August 26, 2014
What is Probability?
Definition
Probability theoryis the study of the mathematical rules that govern random events.But what is randomness? Informally, arandom eventis an event in which we do not know the outcome without observing it.Probability tells us what we can say about such events, given our assumptions about the possible outcomes.
What is Probability?
Definition
Probability theoryis the study of the mathematical rules that govern random events.But what is randomness? Informally, arandom eventis an event in which we do not know the outcome without observing it.Probability tells us what we can say about such events, given our assumptions about the possible outcomes.
What is Probability?
Definition
Probability theoryis the study of the mathematical rules that govern random events.But what is randomness? Informally, arandom eventis an event in which we do not know the outcome without observing it.Probability tells us what we can say about such events, given our assumptions about the possible outcomes.
What is Probability?
Definition
Probability theoryis the study of the mathematical rules that govern random events.But what is randomness? Informally, arandom eventis an event in which we do not know the outcome without observing it.Probability tells us what we can say about such events, given our assumptions about the possible outcomes.
What is Probability?
Definition
Probability theoryis the study of the mathematical rules that govern random events.But what is randomness? Informally, arandom eventis an event in which we do not know the outcome without observing it.Probability tells us what we can say about such events, given our assumptions about the possible outcomes.
What is Statistics?
Definition
Statisticsis the application of probability to the collection, analysis, and description of random data.Statistics is used to: I
DesignexperimentsI
SummarizedataI
Make conclusionsabout the worldI
Explorecomplex data
What is Statistics?
Definition
Statisticsis the application of probability to the collection, analysis, and description of random data.Statistics is used to: I
DesignexperimentsI
SummarizedataI
Make conclusionsabout the worldI
Explorecomplex data
What is Statistics?
Definition
Statisticsis the application of probability to the collection, analysis, and description of random data.Statistics is used to: I
DesignexperimentsI
SummarizedataI
Make conclusionsabout the worldI
Explorecomplex data
What is Statistics?
Definition
Statisticsis the application of probability to the collection, analysis, and description of random data.Statistics is used to: I
DesignexperimentsI
SummarizedataI
Make conclusionsabout the worldI
Explorecomplex data
What is Statistics?
Definition
Statisticsis the application of probability to the collection, analysis, and description of random data.Statistics is used to: I
DesignexperimentsI
SummarizedataI
Make conclusionsabout the worldI
Explorecomplex data
What is Statistics?
Definition
Statisticsis the application of probability to the collection, analysis, and description of random data.Statistics is used to: I
DesignexperimentsI
SummarizedataI
Make conclusionsabout the worldI
Explorecomplex data
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
Computer Science:I
Machine LearningI
Data MiningI
Artificial IntelligenceI
SimulationI
Image ProcessingI
Computer GraphicsI
VisualizationI
Software TestingI
AlgorithmsElectrical Engineering:
I
Signal ProcessingI
TelecommunicationsI
Information TheoryI
Control TheoryI
Instrumentation, SensorsI
Hardware/Electronics
Testing
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
All Sciences!!
Applications of Probability and Statistics
General:I
Gambling(not recommended)
I
Stock Market AnalysisI
PoliticsI
SportsI
DemographicsI
MedicineI
EconomicsI
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