Probability - STAT 511 / MATH 511

12:30 pm - 2:10 pm, MTWR, May 11th, 2020 - June 18, 2020, via Zoom

Instructor office hours: MTWR 2:10 p.m. - 3:00 p.m. via Zoom

Teaching assistant: tbd

Course syllabus

Lecture notes Accompanying slides Topics Corresponding section(s) of Wackerly book
Lec_01.pdf Lec_01_slides.pdf Set theory and beginning of probability theory 2.1 — 2.5
Lec_02.pdf Lec_02_slides.pdf Counting rules 2.6
Lec_03.pdf Lec_03_slides.pdf Conditional probability and independence 2.7 — 2.10
Lec_04.pdf Lec_04_slides.pdf Random variables and the cdf 2.11, 3.1, 3.2, 4.1, 4.2
Lec_05.pdf Lec_05_slides.pdf Probability mass and density functions 3.2, 4.2
End exam I material
Lec_06.pdf Lec_06_slides.pdf Expected value and variance of rvs 3.3, 4.3
Lec_07.pdf Lec_07_slides.pdf Suite of discrete rv probability distributions 3.4 — 3.8
Lec_08.pdf Lec_08_R_code R markdown file Lec_08_slides.pdf Suite of continuous rv probability distributions 4.4 — 4.8
Lec_09.pdf Lec_09_slides.pdf Quantiles 4.4 — 4.8
Lec_10.pdf Lec_10_slides.pdf Moments and moment generating functions 3.9, 4.9
End exam II material
Lec_11.pdf Lec_11_slides.pdf Joint and marginal distributions 5.1, 5.2, 5.3 to pg. 238
Lec_12.pdf Lec_12_slides.pdf Conditional distributions and conditional expectation 5.3, 5.11
Lec_13.pdf Lec_13_slides.pdf Independence of random variables 5.4, 5.5, 5.6
Lec_14.pdf Lec_14_R_code Lec_14_slides.pdf Covariance, correlation, and bivariate Normal distribution 5.7, 5.8, 5.10
Lec_15.pdf Lec_15_slides.pdf Hierarchical models and multinomial distribution 5.9, 5.11
End course material: STAT_511_summary_sheet

Homework assignments Topics Due Solutions
hw_01.pdf Basics of sets and probability Thursday, May 14th hw_01_sol.pdf
hw_02.pdf Counting problems Tuesday, May 19th hw_02_sol.pdf
hw_03.pdf Conditional probability, independence, rvs, the cdf Thursday, May 21st hw_03_sol.pdf
hw_04.pdf pmfs, pdfs, expected values, variance Thursday, May 28th hw_04_sol.pdf
hw_05.pdf Common pdfs, pmfs, expected value, variance Wednesday, June 3rd hw_05_sol.pdf
hw_06.pdf Moment generating functions, quantiles Wednesday, Jun 10th hw_06_sol.pdf
hw_07.pdf Joint, marginal, and conditional pdfs and pmfs Monday, Jun 15th hw_07_sol.pdf
hw_08.pdf Covariance, correlation, independence, hierarchical models Thursday, June 18th hw_08_sol.pdf

Exams Solutions
Exam_01.pdf Exam_01_sol.pdf
Exam_02.pdf Exam_02_sol.pdf
Final_exam_written.pdf Final_exam_written_sol.pdf

Old exams Solutions
STAT_511_fa_2019_Exam_I.pdf STAT_511_fa_2019_Exam_I_sol.pdf
STAT_511_fa_2019_Exam_II.pdf STAT_511_fa_2019_Exam_II_sol.pdf
STAT_511_fa_2019_Final_Exam.pdf STAT_511_fa_2019_Final_Exam_sol.pdf