[PDF] What is Probability and Statistics and Why Should You Care?



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was formerly a professor of statistics at that university He is a former database software developer in Silicon Valley, and has been a statistical consultant for rms such as the Kaiser Permanente Health Plan Dr Matlo was born in Los Angeles, and grew up in East Los Angeles and the San Gabriel Valley



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prepared size N simulations obtained with computers As the teaching of statistical tools was reinforced and simulations were introduced, the Inter-IREM commission felt the need to clarify the status of probability as a part of teaching statistics and the role of probability in learning modeling, where probability is considered as a



What is Probability and Statistics and Why Should You Care?

Applications of Probability and Statistics Computer Science: I Machine Learning I Data Mining I Artificial Intelligence I Simulation I Image Processing I Computer Graphics I Visualization I Software Testing I Algorithms Electrical Engineering: I Signal Processing I Telecommunications I Information Theory I Control Theory I Instrumentation



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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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