BISON ACADEMY

Courses taught in the

Department of Electrical and Computer Engineering

North Dakota State University

 

ECE 341: Random Processes

Summer 2024


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 13

Holiday

-

 

 

Tu

May 14

0: Introduction to ECE 341

Slides #0

0: Introduction

0: Farkle.txt

0: Poker.txt

HW #1

Solution #1 (pdf)

Solution #1 (YouTube)

COMBINATORICS

Tree Diagrams and Enumeration

Slides #1

1: Tree Diagrams

1: Farkle

1: Poker

1: Risk

StatTrek: Probability

We

May 15

Poker: 5-Card Stud

Slides #2

Combinations and Permutations

2: Combinations

2: Stud Poker

StatTrek: Combinations

HW #2

Solution #2 (pdf)

Solution #2 (YouTube)

Poker: 5-Card Draw

Slides #3

Conditional Probability

3: Conditional Prob

Draw Poker (5 card)

Draw Poker (6 card)

StatTrek: Poker Odds

Th

May 16

Dice Games: Farkle

Slides #4

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 #5

5: z-Transform

 

Fr

May 17

Binomial Distribution

Slides #6

Bernoulli Trial, BETH, Convolution

6: Binomial

StatTrek: Binomial

BC Campus: Binomial

HW #4

Solution #4 (pdf)

Solution #4 (YouTube)

Uniform Distribution

Slides #7

Dice, Convolution, Central Limit Theorem

7: Uniform

Mo

May 20

Geometric Distribution

Slides #8

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 #9

Use of z-Transforms

9: Pascal

Wikipedia: Correlation

Wikipedia: Pascal

Tu

May 21

Test #1

Discrete Probability

Test #1

Test #1 Solution (pdf)

Test #1 Solution (YouTube)

 

We

May 22

CONTINUOUS PROBABILTY

LaPlace Transforms

Slides #10

10: LaPlace

BC Campus: Continuous pdf

HW #6

Solution #6 (pdf)

Solution #6 (YouTube)

Continuous pdf & cdf

Slides #11

Continuous probability density functions

11: Continuous pdf

Th

May 23

Uniform Distribution

Slides #12

Continuous convolution

12: Uniform

BC Campus: Uniform

Wikipedia: Uniform

HW #7

Solution #7 (pdf)

Solution #7 (YouTube)

Exponential Distribution

Slides #13

Moment generating functions

13: Exponential

BC Campus: Exponential

Wikipedia: Exponential

Fr

May 24

Gamma and Poisson

Slides #14

Poisson approx. for binomial

14: Gamma

StatTrek Poisson

BC Campus: Poisson

Wikipedia: Poisson

HW #8

Solution #8 (pdf)

Solution #8 (YouTube)

Normal Distribution

Slides #15

Mean, variance

15: Normal

StatTrek: Normal

Standard Normal Table

-

BC Campus: Normal

Wikipedia: Normal

Mo

May 27

Holiday

-

 

 

 

Tu

May 28

Weibull Distribution

Slides #16

Approximating pdf

16: Weibull

Wikipedia: Weibull

HW #9

Solution #9 (pdf)

Solution #9 (YouTube)

Central Limit Theorem

Slides #17

Normal approximation to pdf�s

17: CLT

BC Campus: CLT

Wikipedia: CLT

We

May 29

Testing with Normal Distributions

Slides #18

Confidence Intervals

18: Testing

BC Campus: Testing

BC Campus: Type I/II Errors

HW #10

Solution #10 (pdf)

Solution #10 (YouTube)

Regression Analysis

Slides #19

19: Regression

StatTrek: Linear Regression

Wikipedia: Regression

Th

May 30

Test #2

Continuous Distributions

-

 

 

Test #2

Test #2 Solution (pdf)

Test #2 (YouTube)

Fr

May 31

MARKOV CHAINS

Markov Chains

Slides #20

20: Markov

Wikipedia: Markov Chains

HW #11

Solution #11 (pdf)

Solution #11 (YouTube)

Absorbing States and z-transform

Slides #21

Win By X

21: Absorbing States

 

Mo

Jun 3

DATA ANALYSIS

Student-t Test

Slides 23a

23a t-Test

Student t-Table

-

BC Campus: t-test

Wikipedia: t-test

HW #12

Solution #12 (pdf)

Solution #12 (YouTube)

t-tests for a single population

Slides #23b

23b t-Test

Tu

Jun 4

t-tests with two populations

Slides #24a

 

24a t-Test with 2 pop

(with sound)

HW #13

Solution #13 (pdf)

Solution #13 (YouTube)

t-Test Examples

Slides 24b

 

24b t-Test with 2 pop

(with sound)

 

We

Jun 5

Chi-Squared Test

Slides #25

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 #26

26: Chi-Squared Examples

 

Th

Jun 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

Solution #15 (pdf)

Solution #15 (YouTube)

 

 

 

Fr

Jun 7

Test #3

Data Analysis

 

 

Test #3

Test #3 Solution (pdf)

Test #3 (YouTube)

 

 

 

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)