Schedule - Homework - Exams

Syllabus - Compass

Schedule

Week 1

Monday | 2017.8.28
- First day of class! Course overview, syllabus discussion, and start of course material.
- Materials: [Syllabus Slides] [Full Syllabus]
Wednesday | 2017.8.30
- 1.1 [1.2, 1.2] Properties of Probability
- Material: [Examples] [Answers]
- Additional Notes: [Set Theory] [Probability Rules] [Infinite Series]
- Additional Examples: [Infinite Series]
Discussion
- Discussion begins in Week 1!
- TA office hours begin in Week 2.
- Material: [Examples and Solutions]
Friday | 2017.9.1
- 1.3 [1.4, 1.4] Conditional Probability
- Material: [Examples] [Answers]
- Additional Notes: [Conditional Probability and Independence]

Week 2

Monday | 2017.9.4
- No class! Labor Day
Wednesday | 2017.9.6
- 1.5 [1.6, 1.6] Bayes’ Theorem
- Material: [Examples] [Answers]
- Additional Notes: [Bayes’ Theorem]
Discussion
- Material: [Examples and Solutions]
Friday | 2017.9.8
- 1.4 [1.5, 1.5] Independent Events
- Material: [Examples] [Answers]
- Additional Notes: [Independence and Conditional Probability]
- Deadline: [Homework 01 Due]

Week 3

Monday | 2017.9.11
- 1.2 [1.3 1.3] Methods of Enumeration (Counting)
- Material: [Examples] [Answers]
Wednesday | 2017.9.13
- 2.1 [2.1, 2.1] Random Variables (Discrete)
- 2.2 [2.2, 2.2] Expectation
- 2.3 [2.3, 2.3] Mean, Variance, Standard Deviation
- Material: [Examples] [Answers]
Discussion
- Material: [Examples and Solutions]
Friday | 2017.9.15
- (More) Discrete Random Variables
- Material: [Examples] [Answers]
- Additional Notes: [Discrete Random Variables I]
- Deadline: [Homework 02 Due]

Week 4

Monday | 2017.9.18
- Finish discussion of Discrete Random Variables
- Material: [Additional Examples and Answers]
Wednesday | 2017.9.20
- 2.4 [2.4 2.4] Binomial Distribution
- 2.5 [2.5 2.5] Geometric and Negative Binomial Distributions
- Material: [Examples] [Answers]
- Table: [Cumulative Binomial Probabilities]
- Visualization: [Binomial Distributions]
Discussion
- Material: [Examples and Solutions]
Friday | 2017.9.22
- 2.4 [2.4 2.4] Hypergeometric and Multinomial Distributions
- Material: [Examples] [Answers]
- Deadline: [Homework 03 Due]

Week 5

Monday | 2017.9.25
- 2.6 [2.6 2.6] Poisson Distribution
- Material: [Examples] [Answers]
- Table: [Cumulative Poisson Probabilities]
- Additional Notes: [Discrete Random Variables II]
Wednesday | 2017.9.27
- 2.3 [2.3 2.3] Moment Generating Function
- Material: [Examples] [Answers]
- Material: [Additional Examples and Answers]
- Table: [Discrete Random Variables]
Discussion
- Material: [Examples and Solutions]
Friday | 2017.9.29
- 3.1 [3.3 3.2] Continuous Random Variables
- Upcoming: Exam I: Information and Policies
- Deadline: [Homework 04 Due]

Week 6

Monday | 2017.10.2
- 3.1 [3.3 3.2] Continuous Random Variables
- Material: [Discrete vs Continuous, Examples]
- Material: [Examples] [Answers]
- Additional Notes: [Continuous Random Variables]
Wednesday | 2017.10.4
- 3.3 [3.6 5.2] Normal Distribution
- Material: [Examples] [Answers]
- Additional Notes: [Normal Distribution]
- Table: [Standard Normal Probabilities]
- Visualization: [Normal Distributions]
Discussion
- Material: [Examples and Solutions]
Friday | 2017.10.6
- 5.8 [10.5 4.7] Chebyshev’s Inequality
- Material: [Examples]
- Deadline: [Homework 05 Due]

Week 7

Monday | 2017.10.9
- 3.2 [3.4 3.3] Uniform and Exponential Distributions
- Material: [Examples] [Answers]
Wednesday | 2017.10.11
- 3.2 [3.5 3.4] Gamma Distribution
- Material: [Examples] [Answers]
Discussion
- [Examples] [Answers]
Friday | 2017.10.13
- Exam I

Week 8

Monday | 2017.10.16
- 4.1, 4.4 [4.1 4.1] Joint Probability Distributions
- Material: [Examples] [Answers]
- Additional Notes: [Discrete Joint Distributions] [Continuous Joint Distributions]
- Additional Notes: [Double Integral Examples] [Answers]
Wednesday | 2017.10.18
- 4.1, 4.4 [4.1 4.1] Independent Random Variables
- Material: [Examples] [Answers]
Discussion
- [Examples and Solutions]
Friday | 2017.10.20
- 4.2 [4.2 4.2] Covariance and Correlation
- Material: [Examples] [Answers]
- Additional Material: [Example and Answer]
- Deadline: [Homework 06 Due]

Week 9

Monday | 2017.10.23
- 5.3 [5.3 5.3] Several Independent Random Variables
- Material: [Examples] [Answers]
- Additional Notes: [Variance, Covariance, and MGFs] [Answers]
Wednesday | 2017.10.25
- 5.6 [5.6 5.6] Central Limit Theorem
- Material: [Examples] [Answers]
- Additional Notes: [Central Limit Theorem]
Discussion
- [Examples and Solutions]
Friday | 2017.10.27
- 5.7 [5.7 5.7] Normal Approximation to Discrete Distributions
- Material: [Examples] [Answers]
- Deadline: [Homework 07 Due]

Week 10

Monday | 2017.10.30
- 6.4 [6.1 6.2] Maximum Likelihood, Method of Moments
- Material: [Examples] [Answers]
Wednesday | 2017.11.1
- 6.4 [6.1 6.2] Estimators, Part 2 Estimator Properties
- Material: [Examples] [Answers]
Discussion
- [Examples and Solutions]
Friday | 2017.11.3
- 6.4 [6.1 6.2] Estimators, Part 3 Additional Examples
- Material: [Examples and Answers]
- Additional Notes: [Point Estimation]
- Deadline: [Homework 08 Due]

Week 11

Monday | 2017.11.6
- 7.1 [6.2 6.4] Confidence Intervals for Means
- 7.4 [6.6 6.8] Sample Size Planning
- Material: [Examples] [Answers]
- Table: [Standard Normal Probabilities]
Wednesday | 2017.11.8
- 5.5 [5.5 5.3] Student’s \(t\) Distribution
- 7.1 [6.2 6.4] Confidence Intervals for Means
- Material: [Examples] [Answers]
- Table: [\(t\) Critical Values]
Discussion
- [Examples and Solutions]
Friday | 2017.11.10
- 7.1 [6.4 6.6] Confidence Intervals for Variances and Standard Deviations
- Material: [Examples] [Answers]
- Table: [\(\chi^2\) Critical Values]
- Deadline: [Homework 09 Due]

Week 12

Monday | 2017.11.13
- 7.3 [6.5 6.7] Confidence Intervals for Proportions
- 7.3 [6.5 6.7] Sample Size Planning
- Material: [Examples] [Answers]
Wednesday | 2017.11.15
- 8.3, 8.1 [7.1 8.1] Hypothesis Tests for One Proportion
- Material: [Examples] [Answers]
- Additional Notes: [Introduction to Hypothesis Testing]
Discussion
- [Examples and Solutions]
Friday | 2017.11.17
- 8.3, 8.1 [7.1 8.1] Hypothesis Tests for One Proportion
- Deadline: [Homework 10 Due]

Week 13

Monday | 2017.11.13
- No class. Fall break.
- Deadline: Homework 09 Due
Wednesday | 2017.11.15
- No class. Fall break.
Friday | 2017.11.17
- No class. Fall break.

Week 14

Monday | 2017.11.27
- 8.1 [7.2 8.2] Hypothesis Tests for One Mean
- Material: [Examples] [Answers]
Wednesday | 2017.11.29
- 8.1 [7.4 8.2] Hypothesis Tests for Variances
- Material: [Examples] [Answers]
Discussion
- [Examples] [Answers]
Friday | 2017.12.01
- Exam II

Week 15

Monday | 2017.12.04
- 7.3, 8.3 [6.5, 7.1 6.7, 8.1] Hypothesis Tests for Two Proportions
- Material: [Examples] [Answers]
Wednesday | 2017.12.06
- 7.2, 8.2 [6.3, 7.3 6.5, 8.3] Hypothesis Tests for Two Means
- Material: [Examples] [Answers]
Discussion
- [Examples and Solutions]
Friday | 2017.12.08
- 9.1 [8.1 6.5, 8.5] Square Goodness-of-Fit Test
- Material: [Examples] [Answers] [Excel]

Week 16

Monday | 2017.12.11
- 9.2 [8.2 8.6] Chi-Square Tests of Homogeneity and Independence
- Material: [Examples] [Answers]
Wednesday | 2017.12.13
- Finishing any leftover material. Mabye some review? Come with questions!
Discussion
- Cancelled. (Some sections conflict with reading day.)
- [Examples and Solutions]
- Room 2 help hours end on Wednesday. (Also to not conflict with reading day.)
Friday | 2017.12.15
- No class. It’s finals time!
- Additional Office Hours: 11:00 AM - 1:00 PM, Room 120 Illini hall

Week 17

Monday | 2017.12.18
- No class. It’s finals time!
- Additional Office Hours: 11:00 AM - 1:00 PM, Room 120 Illini hall
!! T U E S D A Y !! | 2017.12.19
- !! F I N A L !! E X A M !!
- Time: Tuesday, December 19, 1:30 PM - 4:30 PM
- Location:
  - Sections AD1 and AD2: 213 Gregory Hall
  - Sections AD3 and AD4: 103 Mumford Hall

Homework

Homework 01

Due: Friday, September 8
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 02

Due: Friday, September 15
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 03

Due: Friday, September 22
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 04

Due: Friday, September 29
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 05

Due: Friday, October 6
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 06

Due: Friday, October 20
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 07

Due: Friday, October 27
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 08

Due: Friday, November, 3
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 09

Due: Friday, November, 10
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 10

Due: Friday, November, 17
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 11

Due: Friday, December, 8
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Homework 12

Due: Friday, December, 15
Practice: [Problems] [Solutions]
Assignment: [html] [pdf]
Solution: [html] [pdf]

Exams

Exam 1: Friday, October 13
- Exam I: Information and Policies
- Practice Problems
- Solutions: [Version A] [Version B] [Version C]
Exam 2: Friday, December 1
- Exam II: Information and Policies
- Practice Problems
- Solutions: [Version A] [Version B] [Version C]
Final Exam: Tuesday, December 19, 1:30 PM - 4:30 PM
- Final Exam: Information and Policies
- Practice Problems
  - Even More Intervals and Testing
  - Two Sample and Chi-Square Testing

STAT 400: Statistics and Probability I

University of Illinois at Urbana-Champaign

Fall 2017, Dalpiaz

Schedule - Homework - Exams

Syllabus - Compass

Schedule

Week 1

Week 2

Week 3

Week 4

Week 5

Week 6

Week 7

Week 8

Week 9

Week 10

Week 11

Week 12

Week 13

Week 14

Week 15

Week 16

Week 17

Homework

Homework 01

Homework 02

Homework 03

Homework 04

Homework 05

Homework 06

Homework 07

Homework 08

Homework 09

Homework 10

Homework 11

Homework 12

Exams

Tables, Distributions, and Notes

Tables

Distributions

408 Notes