STAT 400 / DATA 400 — Applied Probability and Statistics I

University of Maryland · Fall 2026

Lectures
TuTh 3:30–4:45 pm, ESJ 0202
Discussion
Mondays, MTH 0106 · 0511 at 11:00 am, 0521 at 12:00 pm, 0531 at 1:00 pm
Sections
0511 / 0521 / 0531 (same numbers under STAT 400 and DATA 400)
Office hours
TBD · 2303 Kirwan Hall
Teaching assistants
Max Brown
Text
Devore, Probability and Statistics for Engineering and the Sciences, 9th ed.
Coursework
Assignments, grades and announcements live on ELMS.

Schedule

This is the live schedule — it is kept in step with the class as the semester runs, so it shows what has actually been taught and what is planned from here. The syllabus on ELMS is the tentative version; where the two differ, this page is the current one. Each lecture's topic and handwritten notes go up after that class.

WeekDateLectureHomework & quiz
1 Aug 31 – Sep 6 Tue Sep 1 1 Introduction to the course; the flu-test problem pdf no homework
Thu Sep 3 2 Motivating examples; sets, set operations, De Morgan's laws, cardinality pdf
2 Sep 7 – Sep 13 Tue Sep 8 3 Partitions; experiments, outcomes, events and sample spaces pdf HW1 posted Sep 11 · due Sep 18 No discussion this week — Monday Sept 7 is Labor Day. No quiz.
Thu Sep 10 No class
3 Sep 14 – Sep 20 Tue Sep 15 4 Permutations and combinations; the four selection cases; balls-and-bars; poker hands pdf HW2 posted Sep 18 · due Sep 25 Quiz 1 · in discussion
Thu Sep 17 5 Geometric probability: Buffon's needle and Bertrand's paradox; the modern definition, event fields and the axioms pdf
4 Sep 21 – Sep 27 Tue Sep 22 6 Conditional probability; the multiplication rule and Polya's urn; independence, pairwise vs mutual pdf HW3 posted Sep 25 · due Oct 2 Quiz 2 · in discussion
Thu Sep 24 7 The law of total probability and Bayes' theorem: prior, likelihood, posterior; random variables introduced pdf
5 Sep 28 – Oct 4 Tue Sep 29 8 The pmf and the cdf, and recovering one from the other (the largest of three dice); expected value, and a distribution whose mean is infinite; functions of a random variable and E[aX+b] pdf HW4 posted Oct 2 · due Oct 9 Quiz 3 · in discussion
Thu Oct 1 9 Linearity of expectation and indicators (runs in a shuffled deck); the tail-sum formula; variance and its computational formula; independent trials; the binomial and geometric distributions pdf
6 Oct 5 – Oct 11 Tue Oct 6 10 Review for Midterm 1 Midterm 1 covers everything taught through Lecture 9 (Oct 1). No quiz this week: the Monday Oct 5 discussion is an open Q&A session for the midterm. no homework
Thu Oct 8 Midterm 1
7 Oct 12 – Oct 18 Tue Oct 13 Fall Break — no class HW5 posted Oct 16 · due Oct 23 No discussion this week — Monday Oct 12 is Fall Break. No quiz.
Thu Oct 15 11 posted after class
8 Oct 19 – Oct 25 Tue Oct 20 12 posted after class HW6 posted Oct 23 · due Oct 30 Quiz 4 · in discussion
Thu Oct 22 13 posted after class
9 Oct 26 – Nov 1 Tue Oct 27 14 posted after class HW7 posted Oct 30 · due Nov 6 Quiz 5 · in discussion
Thu Oct 29 15 posted after class
10 Nov 2 – Nov 8 Tue Nov 3 17 posted after class no homework Quiz 6 · in discussion
Thu Nov 5 18 posted after class
11 Nov 9 – Nov 15 Tue Nov 10 19 posted after class HW8 posted Nov 13 · due Nov 20 Quiz 7 · in discussion
Thu Nov 12 20 posted after class
12 Nov 16 – Nov 22 Tue Nov 17 16 Review for Midterm 2 HW9 posted Nov 20 · due Nov 24 Midterm 2 review. Midterm 2 covers only through Lecture 18 (joint distributions, covariance and correlation); the statistics in Lectures 19–20 is taught first but is not on it. No quiz — Midterm 2 week. HW9 is due Tuesday, not Friday — Thanksgiving recess begins Wed Nov 25.
Thu Nov 19 Midterm 2
13 Nov 23 – Nov 29 Tue Nov 24 21 posted after class Remote class — no in-person meeting; recorded lecture posted to ELMS. Monday 11/23 discussion meets as usual. no homework Quiz 8 · in discussion
Thu Nov 26 Thanksgiving — no class
14 Nov 30 – Dec 6 Tue Dec 1 22 posted after class HW10 posted Dec 4 · due Dec 11 Quiz 9 · in discussion
Thu Dec 3 23 posted after class
15 Dec 7 – Dec 13 Tue Dec 8 24 posted after class no homework Quiz 10 · in discussion
Thu Dec 10 25 Review for the Final Exam
16 Dec 14 – Dec 20 Mon Dec 14 Final Exam Day and time are assigned by the Registrar; the exam period runs Dec 14–21. no homework

Classes August 31 – December 11, 2026. Final exam period 2026-12-14 – 2026-12-21.