Probability I. Stat 461/661. Fall 2019

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Course Syllabus

Monday Wednesday Friday

August 26

Probability Axioms

Chapter 2, Sections 2-3

August 28

Inclusion-Exclusion

Chapter 2, Section 3

August 30

Conditional Probability

Chapter 2, Section 4

September 2

Labor Day

No Classes

September 4

Bayes' Formula

Chapter 2, Section 4

September 6

Independent Events

Chapter 2, Section 5

September 9

Combinatorics

Chapter 2, Section 6

September 11: HW 1 due

Random Variables

Chapter 3, Section 3

September 13

Discrete and Continuous Cases

Chapter 3, Section 4

September 16

Cumulative Distribution Function

Chapter 3, Sections 7

September 18: HW 2 due

Expectation

Chapter 3, Section 5

September 20

Variance

Chapter 3, Section 6

September 23

Median, Mode

Chapter 3, Section 5

September 25: HW 3 due

Review Midterm 1

 

September 27

Midterm 1

 

September 30

Joint Distributions, Independence

Chapter 3, Section 7

October 2

Marginal Distributions

Chapter 3, Section 7

October 4

Conditional Distributions

Chapter 3, Section 11

October 7

Conditional Distributions

Chapter 3, Section 11

October 9, HW 4 due

Transformations

Chapter 3, Section 8

October 11

Moment Generating Functions

Chapter 3, Section 12

October 14

Moment Generating Functions

Chapter 3, Section 12

October 16, HW 5 due

Joint CDF

Chapter 3, Section 7

October 18

Order Statistics

Chapter 3, Section 10

October 21

Conditional Expectation

Chapter 3, Section 11

October 23, HW 6 due

Normal Distribution

Chapter 4, Section 3

October 25

Nevada Day

No Classes

October 28

Normal Distribution

Chapter 4, Section 3

October 30, HW 7 due

Review Midterm 2

 

November 1

Midterm 2

 

November 4

Binomial Distribution

Chapter 3, Section 2

November 6

Poisson Distribution

Chapter 4, Section 3

November 8

Geometric Distribution

Chapter 4, Section 4

November 11

Veterans' Day

No Classes

November 13, HW 8 due

Negative Binomial Distribution

Chapter 4, Section 5

November 15

Exponential Distribution

Chapter 3, Section 4

November 18

Gamma Distribution

Chapter 4, Section 6

November 20, HW 9 due

Inequalities

 

November 22

Convergence Modes

 

November 25

Law of Large Numbers

 

November 27, HW 10 due

Central Limit Theorem

Chapter 4, Section 3

November 29

Thanksgiving

No Classes

December 2

Central Limit Theorem

Chapter 4, Section 3

December 4

Review Midterm 3

 

December 6

Midterm 3