BISON ACADEMY

Courses taught in the

Department of Electrical and Computer Engineering

North Dakota State University

 

ECE 341: Random Processes

Fall 2022


Instructor: Omidreza Ghasemi

Tu/Th 3:30pm, AgHill 334


Syllabus : Old Homework : Resources


 

 

 

Lecture Notes

Video

YouTube PlayList

Sample Code

&

Other References

Homework

Tu

Aug 23

0: Introduction to ECE 341

Slides #0

 

0: Introduction

0: Farkle.txt

0: Poker.txt

HW #1

Solution #1

Th

Aug 25

COMBINATORICS

Tree Diagrams and Enumeration

Slides #1

1: Tree Diagrams

1: Farkle

1: Poker

StatTrek: Probability

Tu

Aug 30

Poker: 5-Card Stud

Slides #2

Combinations and Permutations

2: Combinations

2: Stud Poker

StatTrek: Combinations

HW #2

Solution #2

Th

Sep 1

Poker: 5-Card Draw

Slides #3

Conditional Probability

3: Conditional Prob

3; Draw Poker

StatTrek: Poker Odds

Tu

Sep 6

Dice Games: Farkle

Slides #4

Conditional Probability in Dice Games

4: Farkle Odds

4: Farkle (MC)

4: Farkle (enum)

HW #3

Solution #3

Th

Sep 8

DISCRETE PROBABILTY

z-Transforms

Slides #5

5: z-Transform

 

Tu

Sep 13

Binomial Distribution

Slides #6

Bernoulli Trial, BETH, Convolution

6: Binomial

StatTrek: Binomial

BC Campus: Binomial

HW #4

Solution #4

Th

Sep 15

Uniform Distribution

Slides #7

Dice, Convolution, Central Limit Theorem

7: Uniform

 

Tu

Sep 20

Geometric Distribution

Slides #8

Moment Generating Functions

8: Geometric

StatTrek: Hypergeometric

BC Campus: Geometric

Wikipedia: Geometric

BC Campus: Hypergeometric

HW #5

Solution #5

Th

Sep 22

Pascal Distribution

Slides #9

Use of z-Transforms

9: Pascal

Wikipedia: Correlation

Wikipedia: Pascal

Tu

Sep 27

Review

 

 

 

 

Th

Sep 29

Test #1

Discrete Probability

 

 

Tu

Oct 4

CONTINUOUS PROBABILTY

LaPlace Transforms

Slides #10

10: LaPlace

BC Campus: Continuous pdf

HW #6

Th

Oct 6

Continuous pdf & cdf

Slides #11

Continuous probability density functions

11: Continuous pdf

 

Tu

Oct 11

Uniform Distribution

Slides #12

Continuous convolution

12: Uniform

BC Campus: Uniform

Wikipedia: Uniform

HW #7

Th

Oct 13

Exponential Distribution

Slides #13

Moment generating functions

13: Exponential

BC Campus: Exponential

Wikipedia: Exponential

Tu

Oct 18

Gamma and Poisson

Slides #14

Poisson approx. for binomial

14: Gamma

StatTrek Poisson

BC Campus: Poisson

Wikipedia: Poisson

HW #8

Th

Oct 20

Normal Distribution

Slides #15

Mean, variance

15: Normal

StatTrek: Normal

BC Campus: Normal

Wikipedia: Normal

Tu

Oct 25

Weibull Distribution

Slides #16

Approximating pdf

16: Weibull

Wikipedia: Weibull

HW #9

Th

Oct 27

Central Limit Theorem

Slides #17

Normal approximation to pdf’s

17: CLT

BC Campus: CLT

Wikipedia: CLT

Tu

Nov 1

Testing with Normal Distributions

Slides #18

Confidence Intervals

18: Testing

BC Campus: Testing

BC Campus: Type I/II Errors

HW #10

Th

Nov 3

Test #2

Continuous Probability

 

 

Tu

Nov 8

Regression Analysis

Slides #19

19: Regression

StatTrek: Linear Regression

Wikipedia: Regression

HW #11

Th

Nov 10

MARKOV CHAINS

Markov Chains

Slides #20

20: Markov

Wikipedia: Markov Chains

Tu

Nov 15

Absorbing States and z-transform

Slides #21

Win By X

21: Absorbing States

 

HW #12

Th

Nov 17

DATA ANALYSIS

t-tests for a single population

Slides #23

23: t-Test

StatTrek: t-Distribution

BC Campus: t-test

Wikipedia: t-test

 

 

Tu

Nov 22

t-tests with two populations

Slides #24

comparison of means

24: t-Test 2 pop

Reflex Game

4-Card Stud Poker

HW #13

Th

Nov 24

Holiday

 

 

Tu

Nov 29

Chi-Squared Test

Slides #25

25: Chi-Squred Test

StatTrek: Chi-Squared

BC Campus: Chi-Squared

Wikipedia: Chi-Squared

HW #14

Th

Dec 1

Chi-Squared Examples

Slides #26

 

 

Tu

Dec 6

F-Test: ANOVA

Slides #27

27: F-test

On-Way ANOVA

StatTrek: F Distribution

ANOVA (matlab code)

-

BC Campus: F Distribution

Wikipedia: F-Test

StatTrek: ANOVA

HW #15

Th

Dec 8

Test #3

Markov Chains and Data Analysis

 

 

 

 

Multiple Continuous Variables

Correlation, Covariance

 

 

 

 

 

Conditional Probability

p(A | B) for continuous functions

 

 

 

 

Corona Virus

Slides #22

Modeling disease spread

22: CoronaVirus

The Economist: A Terrible Toll

CoronaVirus,m

(sample code)