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Outline
Random Variables – A New Perspective
Probability Distributions
Lecture 8
Chapter 3: Random Variables and Their
Distributions
Michael Akritas
Michael Akritas
Lecture 8 Chapter 3: Random Variables and Their Distribution
s
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Random Variables – A New Perspective
Probability Distributions
Random Variables – A New Perspective
Discrete and Continuous Random Variables
Probability Distributions
The Probability Mass Function
The Probability Density Function
The cumulative distribution function
Michael Akritas
Lecture 8 Chapter 3: Random Variables and Their Distribution
s
Outline
Random Variables – A New Perspective
Probability Distributions
Discrete and Continuous Random Variables
Sample Space Populations
Michael Akritas
Lecture 8 Chapter 3: Random Variables and Their Distribution
s
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View Full Document Outline
Random Variables – A New Perspective
Probability Distributions
Discrete and Continuous Random Variables
Sample Space Populations
From now on, we will think of experiments diﬀerently:
Michael Akritas
Lecture 8 Chapter 3: Random Variables and Their Distribution
s
Outline
Random Variables – A New Perspective
Probability Distributions
Discrete and Continuous Random Variables
Sample Space Populations
From now on, we will think of experiments diﬀerently:
I
We will not make explicit reference to the population of units
from which we sample.
Michael Akritas
Lecture 8 Chapter 3: Random Variables and Their Distribution
s
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Outline
Random Variables – A New Perspective
Probability Distributions
Discrete and Continuous Random Variables
Sample Space Populations
From now on, we will think of experiments diﬀerently:
I
We will not make explicit reference to the population of units
from which we sample.
I
The emphasis will be on the sample space population.
Michael Akritas
Lecture 8 Chapter 3: Random Variables and Their Distribution
s
Outline
Random Variables – A New Perspective
Probability Distributions
Discrete and Continuous Random Variables
Sample Space Populations
From now on, we will think of experiments diﬀerently:
I
We will not make explicit reference to the population of units
from which we sample.
I
The emphasis will be on the sample space population.
I
Simple random sampling will be replaced by probability
sampling.
Michael Akritas
Lecture 8 Chapter 3: Random Variables and Their Distribution
s
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Outline
Random Variables – A New Perspective
Probability Distributions
Discrete and Continuous Random Variables
Sample Space Populations
From now on, we will think of experiments diﬀerently:
I
We will not make explicit reference to the population of units
from which we sample.
I
The emphasis will be on the sample space population.
I
Simple random sampling will be replaced by probability
sampling.
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This note was uploaded on 03/19/2009 for the course STAT 401 taught by Professor Akritas during the Spring '00 term at Pennsylvania State University, University Park.
 Spring '00
 Akritas
 Probability

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