STAT 400 / DATA 400 — Applied Probability and Statistics I
University of Maryland · Fall 2025 Archived
- Lectures
- TuTh 2:00–3:15 pm, ARM 0126
- Discussion
- Mondays, MTH 0106
- Sections
- 511/512/521/522/531/532
- Teaching assistants
- Christian Adams, Minghan Yu
- Text
- Lecture notes by J. F. Fernandes and M. D. Gunatilleka; reference text Devore, Probability and Statistics for Engineering and the Sciences, 9th ed.
Schedule
| Week | Date | Lecture | Homework & quiz |
|---|---|---|---|
| 1 Sep 1 – Sep 7 | Tue Sep 2 Today | 1 Introduction to Probability and Statistics, with examples | no homework |
| Thu Sep 4 Today | 2 Basic set theory, experiments and events | ||
| 2 Sep 8 – Sep 14 | Tue Sep 9 Today | 3 Probability functions, probability space | HW1 posted Sep 12 · due Sep 19 Quiz 1 |
| Thu Sep 11 Today | 4 Combinatorics, counting and probability | ||
| 3 Sep 15 – Sep 21 | Tue Sep 16 Today | 5 Conditional probability, independence, Bayes' theorem | HW2 posted Sep 19 · due Sep 26 Quiz 2 |
| Thu Sep 18 Today | 6 Random variables | ||
| 4 Sep 22 – Sep 28 | Tue Sep 23 Today | 7 Cumulative distribution function; discrete and continuous RVs | HW3 posted Sep 26 · due Oct 3 Quiz 3 |
| Thu Sep 25 Today | 8 Parameters of RVs: expected value, variance, standard deviation | ||
| 5 Sep 29 – Oct 5 | Tue Sep 30 Today | 9 Discrete families: uniform, Bernoulli, binomial, hypergeometric, negative binomial, geometric, Poisson | HW4 posted Oct 3 · due Oct 10 Quiz 4 |
| Thu Oct 2 Today | 10 Continuous families: uniform, normal, gamma, exponential, chi-square, beta | ||
| 6 Oct 6 – Oct 12 | Tue Oct 7 Today | 11 Review for Midterm 1 | no homework |
| Thu Oct 9 Today | Midterm 1 | ||
| 7 Oct 13 – Oct 19 | Tue Oct 14 Today | No class — Fall Break | HW5 posted Oct 17 · due Oct 24 Quiz 5 |
| Thu Oct 16 Today | 12 Joint distributions: joint pmf/pdf, marginals, conditionals | ||
| 8 Oct 20 – Oct 26 | Tue Oct 21 Today | 13 Joint distributions, continued | HW6 posted Oct 24 · due Oct 31 Quiz 6 |
| Thu Oct 23 Today | 14 Joint distributions: expected values, covariance, correlation, linear models | ||
| 9 Oct 27 – Nov 2 | Tue Oct 28 Today | 15 Correlation and linear models | HW7 posted Oct 31 · due Nov 14 Syllabus listed 11/07; the deadline was moved to 11/14. Quiz 7 |
| Thu Oct 30 Today | 16 Random samples, linear combinations of RVs, statistics and their sampling distributions | ||
| 10 Nov 3 – Nov 9 | Tue Nov 4 Today | 17 Review for Midterm 2 | no homework |
| Thu Nov 6 Today | Midterm 2 | ||
| 11 Nov 10 – Nov 16 | Tue Nov 11 Today | 18 Central limit theorem and applications | HW8 posted Nov 14 · due Nov 21 Quiz 8 |
| Thu Nov 13 Today | 19 Point estimation: variance and bias of estimators | ||
| 12 Nov 17 – Nov 23 | Tue Nov 18 Today | 20 Estimators, continued | HW9 posted Nov 21 · due Nov 26 Quiz 9 |
| Thu Nov 20 Today | 21 Examples of estimators and their properties | ||
| 13 Nov 24 – Nov 30 | Tue Nov 25 Today | 22 Point estimation, continued | no homework |
| Thu Nov 27 Today | No class — Thanksgiving | ||
| 14 Dec 1 – Dec 7 | Tue Dec 2 Today | 23 Point estimators | HW10 posted Dec 5 · due Dec 12 Quiz 10 |
| Thu Dec 4 Today | 24 Method of moments | ||
| 15 Dec 8 – Dec 14 | Tue Dec 9 Today | 25 Maximum likelihood estimation | no homework |
| Thu Dec 11 Today | 26 Review for the final exam |