BISON ACADEMY

Courses taught in the

Department of Electrical and Computer Engineering

North Dakota State University

 

ECE 341: Random Processes

Summer 2025

Updated 06/13/2025


Instructor: Jacob Glower

MTuWThF 12-2:15pm,ECE 125

Office Hours: 7pm - 8pm, M-F (on zoom)

Contact: jacob.glower@ndsu.edu


Syllabus : Old Homework : Resources


 

 

 

Lecture Notes

Video

YouTube PlayList

Sample Code

&

Other References

Homework

Mo

 

May 19

Holiday

-

 

 

Tu

May 20

Syllabus

Slides #1

Monte-Carlo

Slides #2

0: Introduction

0: Farkle.txt

0: Poker.txt

HW #1

Solution #1 (pdf)

Solution #1 (YouTube)

COMBINATORICS

Enumeration

Slides #3

1: Tree Diagrams

1: Farkle

1: Poker

1: Risk

StatTrek: Probability

We

May 21

Combinatorics: 5-Card Stud

Slides #4

Combinations and Permutations

2: Combinations

2: Stud Poker

StatTrek: Combinations

HW #2

Solution #2 (pdf)

Solution #2 (YouTube)

Conditional Probability: 5-Card Draw

Slides #5

Conditional Probability

3: Conditional Prob

Draw Poker (5 card)

StatTrek: Poker Odds

Th

May 22

Dice Games: Farkle

Slides #6

Conditional Probability in Dice Games

4: Farkle Odds

4: Farkle (MC)

4: Farkle (enum)

HW #3

Solution #3 (pdf)

Solution #3 (YouTube)

DISCRETE PROBABILTY

z-Transforms

Slides #7

5: z-Transform

 

Fr

May 23

Binomial Distribution

Slides #8

Bernoulli Trial, BETH, Convolution

6: Binomial

StatTrek: Binomial

BC Campus: Binomial

HW #4

Solution #4 (pdf)

Solution #4 (YouTube)

Uniform Distribution

Slides #9

Dice, Convolution, Central Limit Theorem

7: Uniform

Mo

May 26

Holiday

Holiday

-

 

 

Tu

May 27

Geometric Distribution

Slides #10

Moment Generating Functions

8: Geometric

StatTrek: Hypergeometric

BC Campus: Geometric

Wikipedia: Geometric

BC Campus: Hypergeometric

HW #5

Solution #5 (pdf)

Solution #5 (YouTube)

 

 

Pascal Distribution

Slides #11

Use of z-Transforms

9: Pascal

Wikipedia: Correlation

Wikipedia: Pascal

We

May 28

Test #1

Discrete Probability

Test #1

Test #1 Solution (pdf)

Test #1 (YouTube)

Th

May 29

CONTINUOUS PROBABILTY

LaPlace Transforms

Slides #12

10: LaPlace

BC Campus: Continuous pdf

HW #6

Solution #6 (pdf)

Solution #6 (YouTube)

Continuous pdf & cdf

Slides #13

Continuous probability density functions

11: Continuous pdf

 

Fr

May 30

Uniform Distribution

Slides #14

Continuous convolution

12: Uniform

BC Campus: Uniform

Wikipedia: Uniform

HW #7

Solution #7 (pdf)

Solution #7 (YouTube)

Exponential Distribution

Slides #15

Moment generating functions

13: Exponential

BC Campus: Exponential

Wikipedia: Exponential

Mo

Jun 2

Gamma and Poisson

Slides #16

Poisson approx. for binomial

14: Gamma

StatTrek Poisson

BC Campus: Poisson

Wikipedia: Poisson

HW #8

Solution #8 (pdf)

Solution #9 (YouTube)

Normal Distribution

Slides #17

Mean, variance

15: Normal

StatTrek: Normal

Standard Normal Table

-

BC Campus: Normal

Wikipedia: Normal

Tu

Jun 3

Weibull Distribution

Slides #18

Approximating pdf

16: Weibull

Wikipedia: Weibull

HW #9

Solution #9 (pdf)

Solution #9 (YouTube)

Central Limit Theorem

Slides #19

Normal approximation to pdf’s

17: CLT

BC Campus: CLT

Wikipedia: CLT

We

Jun 4

Testing with Normal Distributions

Slides #20

Confidence Intervals

18: Testing

BC Campus: Testing

BC Campus: Type I/II Errors

HW #10

Solution #10 (pdf)

Solution #10 (YouTube)

Regression Analysis

Slides #21

19: Regression

Global CO2 Levels

Global Temperatures

Arctic Sea Ice

Fargo Temp (high)

Fargo Temp (avg)

Fargo Temp (low)

Fargo Rainfall

Th

Jun 5

Test #2

Continuous Distributions

-

 

 

Test #2

Test #2 Solution (pdf)

Fr

Jun 6

MARKOV CHAINS

Markov Chains

Slides #22

20: Markov

Wikipedia: Markov Chains

HW #11

Homework #11 (pdf)

Solution #11 (YouTube)

Absorbing States

Slides #23

Win By X

21: Absorbing States

 

Mo

Jun 9

DATA ANALYSIS

Student-t Test

Slides 25

23a t-Test

Student t-Table

-

BC Campus: t-test

Wikipedia: t-test

HW #12

Solution #12 (pdf)

t-tests for a single population

Slides #26

23b t-Test

Tu

Jun 10

t-tests with two populations

Slides #27

 

24a t-Test with 2 pop

(with sound)

HW #13

Solution #13 (pdf)

t-Test Examples

Slides 28

 

24b t-Test with 2 pop

(with sound)

 

We

Jun 11

Chi-Squared Test

Slides #29

25: Chi-Squared Test

Chi-Squared Table

-

BC Campus: Chi-Squared

Wikipedia: Chi-Squared

HW #14

Solution #14 (pdf)

Solution #14 (YouTube)

Chi-Squared Examples

Slides #30

26: Chi-Squared Examples

 

Th

Jun 12

F-Test: ANOVA

Slides #31

27: F-test

On-Way ANOVA

StatTrek: F Distribution

ANOVA (matlab code)

-

BC Campus: F Distribution

Wikipedia: F-Test

StatTrek: ANOVA

HW #15

Solution #15 (pdf)

 

 

 

Fr

Jun 13

Test #3

Data Analysis

 

 

Test #3

Available in-class

Also available on BlackBoard

6am - 6am

 

 

Multiple Continuous Variables

Correlation, Covariance

 

 

 

 

 

Conditional Probability

p(A | B) for continuous functions

 

 

 

 

 

Corona Virus

Slides #24

Modeling disease spread

22: CoronaVirus

The Economist: A Terrible Toll

CoronaVirus,m

(sample code)