| 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 |
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| 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 |
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| 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 |
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| 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 |