John A. Gemmer


MTH 357/657

Spring 2023

Instructor: John Gemmer
Office: Manchester #388
E-mail: gemmerj@wfu.edu

Office Hours: Tuesday 10-11, Wednesday 12-2, Thursday 1-3
Lecture: MWF: 9:00-9:50, Greene Hall, Room 321
Textbooks: See syllabus.

Course Handouts:
1. Syllabus: (.pdf)
2. Homework Policy: (.pdf)
3. Example Homework Solutions: (.pdf )

Quiz Solutions:
1. Quiz #1 (.pdf)
2. Quiz #2 (.pdf)
3. Quiz #3 (.pdf)
4. Quiz #4 (.pdf)
5. Quiz #5 (.pdf)
6. Quiz #6 (.pdf)
7. Quiz #7 (.pdf)
8. Quiz #8 (.pdf)
9. Quiz #9 (.pdf)
10. Quiz #10 (.pdf)

Exam Solutions:
1. Exam #1 (.pdf)
2. Exam #2 (.pdf)

Classwork Solutions:
1. Classwork #7 (.pdf)

Lecture Notes:
1. Lecture #1: (Sample and Event Spaces, Venn Diagrams) (.pdf)
2. Lecture #2: (Probability of an Event) (.pdf)
3. Lecture #3: (Counting and Probability) (.pdf)
4. Lecture #4: (Poker and Probability) (.pdf)
5. Lecture #5: (Binomial Coefficients) (.pdf)
6. Lecture #6: (Conditional Probability and Independence) (.pdf)
7. Lecture #7: (Bayes' Theorem) (.pdf)
8. Lecture #8: (Random Variables and Probability Distributions) (.pdf)
9. Lecture #9: (Expected Value and Variance) (.pdf)
10. Lecture #10: (Bernoulli Type Distributions) (.pdf)
11. Lecture #11: (Hypergeometric Distribution) (.pdf)
12. Lecture #12: (Poisson Distribution) (.pdf)
13. Lecture #13: (Moment Generating Functions) (.pdf)
14. Lecture #14: (Tchebysheff's Theorem) (.pdf)
15. Lecture #15: (Cumulative Distribution Functions) (.pdf)
16. Lecture #16: (Probability Density Functions) (.pdf)
17. Lecture #17: (Tcebysheff's Theorem for Continous Random Variables) (.pdf)
18. Lecture #18: (Moment Generating Functions and Gamma Functions) (.pdf)
19. Lecture #19: (Normal Distributions) (.pdf)
20. Lecture #20: (Gamma Distributions) (.pdf)
21. Lecture #21: (Beta Distributions) (.pdf)
22. Lecture #22: (Multivariate Distributions) (.pdf)
23. Lecture #23: (Marginal and Conditional Distributions) (.pdf)
24. Lecture #24: (Multivariate Moments) (.pdf)
25. Lecture #25: (Distribution Technique) (.pdf)
26. Lecture #26: (Transformation Technique) (.pdf)

Homework Assignments:
1. Homework #1 (.pdf), Solutions (.pdf).
2. Homework #2 (.pdf), Solutions (.pdf).
3. Homework #3 (.pdf), Solutions (.pdf).
4. Homework #4 (.pdf), Solutions (.pdf).
5. Homework #5 (.pdf), Solutions (.pdf).
6. Homework #6 (.pdf), Solutions (.pdf).
7. Homework #7 (.pdf), Solutions (.pdf).
8. Homework #8 (.pdf), Solutions (.pdf).
9. Homework #9 (.pdf), Solutions (.pdf).
10. Homework #10 (.pdf), Solution (.pdf).
11. Homework #11 (.pdf), Solution (.pdf).