e-Statistics > 4470-5470 Probability and Statistics I

4470-5470 Lecture Note

This course introduces the mathematics of probability theory in concept and applications.

Lecture note Contents Quiz/Test Solutions
note01.pdf (Rev.09/08/17)
slide01.pdf (Rev.09/08/17)
1. Sample space and events
2. Probability and combinatorial methods
3. Conditional probability and independence
Quiz 1
note02.pdf (Rev.09/22/17)
slide02.pdf (Rev.09/22/17)
4. Random variables
5. Expectation
Quiz 2
note03.pdf (Rev.10/12/17)
slide03.pdf (Rev.10/12/17)
6. Binomial and related distributions
7. Poisson distributions
8. Summary diagram
9. Exercise solutions
Quiz 4
Test 1
note04.pdf (Rev.11/09/17)
slide04.pdf (Rev.11/09/17)
chisquare.pdf
normal.pdf
10. Exponential and gamma distributions
11. Normal distributions
12. Sum of independent random variables
13. Summary diagram
14. Exercise solutions
Quiz 6
note05.pdf
(Rev.12/04/17; Hint for Problem 17 corrected)
slide05.pdf (Rev.11/10/17)
15. Bivariate normal distribution
16. Conditional expectation
17. Transformations of variables
18. Exercise solutions
Quiz 7
Quiz 8
Test 2

Syllabi. Other relevant information for Probability & Statistics I can be found at

MATH 4470 Syllabus for undergraduate students

MATH 5470 Syllabus for graduate students


© TTU Mathematics