UIUC STAT 400 - Spring 2020

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Announcement

• Final Exam: Monday, 05/11/2020, 10:00 AM - Tuesday, 05/12/2020, 10:00 AM.
  • Final Exam is published! Good luck!
  • Question 3b was updated at 1:30 PM on Monday, 05/11/2020. Double check to make sure you have the correct question for 3b.
• Homework 11 and Homework 12 solutions are now available!
  • Students who take the Final Exam will automatically get full marks (10/10) for Homework 11 and Homework 12.
  • No submission for HW 11 and HW 12 is needed.
• COVID-19 Online Adjustments!

You can find reminders on homework deadlines, upcoming exams, changes to the office hours schedule (if needed), etc. here! Make sure you check this section at least once a week!

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STAT 400 Course Schedule

• Notes:
  • Lecture notes + video might be posted before the scheduled day and time. Think of the scheduled time as the latest possible time for me (Ha) to post the material.
  • Zoom link for:
    • Office Hours
    • Discussion Sessions AD1/AD4 - Eric
    • Discussion Sessions AD2/AD3 - David

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Week 1 | 01/20/2020 - 01/24/2020

• Lecture notes:
  • Overview
  • 1.1 [1.2, 1.2] Properties of Probability - [Annotated]
• Additional material: Infinite Series, More Infinite Series
• Homework: HW1

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Week 2 | 01/27/2020 - 01/31/2020

• Lecture notes:
  • 1.3 [1.4, 1.4] Conditional Probability - [Annotated]
  • 1.5 [1.6, 1.6] Bayes’ Theorem - [Annotated]
  • 1.4 [1.5, 1.5] Independent Events - [Annotated]
• Additional material: Notes on Bayes’ Thereom
• Discussion: [Material] [Solution]
• Deadline: Homework 1 due in-class on Friday, 01/31/2020.
• Homework: HW2

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Week 3 | 02/03/2020 - 02/07/2020

• Lecture notes:
  • 1.2 [1.3, 1.3] Methods of Enumeration (Counting) - [Annotated]
  • 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
    • Notes for 2.1 - 2.3 - [(Fully) Annotated]
• Additional material: Notes on Discrete Random Variables
• Discussion: [Material] [Solution]
• Deadline: Homework 2 due in-class on Friday, 02/07/2020.
• Homework: HW3

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Week 4 | 02/10/2020 - 02/14/2020

• Lecture notes:
  • 2.4 [2.4, 2.4] Binomial Distribution
  • 2.5 [2.5, 2.5] Geometric and Negative Binomial Distributions
    • Notes for 2.4 - 2.5 - [Annotated]
  • 2.4 [2.4, 2.4] Hypergeometric and Multinomial Distributions - [Annotated]
• Additional material:
  • Binomial CDF Table
  • Binomial Visualization
• Discussion: [Material] [Solution]
• Deadline: Homework 3 due in-class on Friday, 02/14/2020.
• Homework: HW4

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Week 5 | 02/17/2020 - 02/21/2020

• Lecture notes:
  • 2.6 [2.6, 2.6] Poisson Distribution - [Annotated]
  • 2.3 [2.3, 2.3] Moment Generating Function - [Annotated]
  • 3.1 [3.3, 3.2] Continuous Random Variables - [Annotated]
• Additional material: Poisson CDF Table
• Discussion: [Material] [Solution]
• Deadline: Homework 4 due in-class on Friday, 02/21/2020.
• Homework: HW5

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Week 6 | 02/24/2020 - 02/28/2020

• Lecture notes:
  • 3.1 [3.3, 3.2] Continuous Random Variables (cont.) - [Solution]
  • 3.3 [3.6, 5.2] Normal Distribution - [Annotated]
• Additional material: Notes on Continuous Random Variables
• Discussion: [Material] [Solution]
• Deadline: Homework 5 due in-class on Friday, 02/28/2020.
• Upcoming: No homework due next week, Exam 1 is on Wednesday, 03/04/2020.

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Week 7 | 03/02/2020 - 03/06/2020

• Lecture notes:
  • 3.2 [3.4, 3.3] Uniform and Exponential Distributions - [Annotated]
  • 3.2 [3.5, 3.4] Gamma Distribution - [Annotated]
  • 5.8 [10.5, 4.7] Chebyshev’s Inequality - [Annotated]
• Additional material:
• Discussion: [Material] [Solution]
• Exam 1: Wednesday, 03/04/2020, 7:00 PM - 8:20 PM at Lincoln Hall Theater (Lincoln Hall 1053).
• No class on Wednesday, 03/04/2020 due to exam.
• Homework: HW6

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Week 8 | 03/09/2020 - 03/13/2020

• Lecture notes:
  • 4.1, 4.4 [4.1, 4.1] Joint Probability Distributions [Lecture Video] - [Annotated]
  • 4.1, 4.4 [4.1, 4.1] Independent Random Variables [Lecture Video] - [Annotated]
  • 4.2 [4.2, 4.2] Covariance and Correlation [Lecture Video] - [Annotated]
• Additional material:
  • [Discrete Joint Distributions] [Continuous Joint Distributions]
  • [Double Integral Examples] [Answers]
• Discussion: [Material] [Solution]
• Deadline: Homework 6 due on Friday, 03/13/2020.
• Homework: HW7

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Week 9 | 03/16/2020 - 03/20/2020

• No class - Spring Break

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Week 10 | 03/30/2020 - 04/03/2020

• Lecture notes:
  • 5.3 [5.3, 5.3] Several Independent Random Variables [Lecture Video] - [Annotated]
  • 5.6 [5.6, 5.6] Central Limit Theorem [Lecture Video] - [Annotated]
  • 6.4 [6.1, 6.2] Maximum Likelihood, Method of Moments [Lecture Video] - [Annotated]
• Additional material:
• Discussion: [Material] [Solution]
• Deadline: Homework 7 due at 2:00 PM on Friday, 03/27/2020.
• Homework: HW8

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Week 11 | 03/23/2020 - 03/27/2020

• Lecture notes:
  • 6.4 [6.1, 6.2] Maximum Likelihood, Method of Moments (Part 2) [Lecture Video] - [Annotated]
  • 6.4 [6.1, 6.2] Estimators, Part 2 Estimator Properties [Lecture Video] - [Annotated]
  • 6.4 [6.1, 6.2] Estimators, Part 2 Estimator Properties (Part 2) [Lecture Video] - [Annotated]
• Discussion: [Material] [Solution]
• Deadline: Homework 8 due at 2:00 PM on on Friday, 04/03/2020.
• Homework: HW9

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Week 12 | 04/06/2020 - 04/10/2020

• Lecture notes:
  • 6.4 [6.1, 6.2] Estimators, Part 3 Additional Examples [Lecture Video] - [Annotated]
  • Lecture Notes for 7.1, 7.4 - [Lecture Video] - [Annotated]:
    • 7.1 [6.2, 6.4] Confidence Intervals for Means
    • 7.4 [6.6, 6.8] Sample Size Planning
  • Lecture Notes for 7.1, 5.5 - [Lecture Video] - [Annotated]:
    • 7.1 [6.2, 6.4] Confidence Intervals for Means
    • 5.5 [5.5, 5.3] Student’s t Distribution
• Discussion: [Material] [Solution]
• Deadline: Homework 9 due at 2:00 PM on Friday, 04/10/2020.
• Homework: HW10

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Week 13 | 04/13/2020 - 04/17/2020

• Lecture notes:
  • 7.1 [6.4, 6.6] Confidence Intervals for Variances and Standard Deviations [Lecture Video] - [Annotated]
  • 7.3 [6.5, 6.7] Confidence Intervals for Proportions [Lecture Video] - [Annotated]
  • 8.3, 8.1 [7.1, 8.1] Hypothesis Tests for One Proportion [Lecture Video] - [Annotated]
• Discussion: [Material] [Solution]
• Deadline: Homework 10 due at 2:00 PM on Friday, 04/17/2020.
• Upcoming: No homework due next week, Exam 2 is on 04/22/2020.

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Week 14 | 04/20/2020 - 04/24/2020

• Lecture notes: No lecture this week
• Exam 2: Wednesday, 04/22/2020.
• No class on Wednesday, 04/22/2020 due to exam.

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Week 15 | 04/27/2020 - 05/01/2020

• Lecture notes:
  • 8.3, 8.1 [7.1, 8.1] Hypothesis Tests for One Proportion [Lecture Video] - [Annotated]
  • 8.1 [7.2, 8.2] Hypothesis Tests for One Mean [Lecture Video] - [Annotated]
  • 8.1 [7.4, 8.2] Hypothesis Tests for Variances
  • 7.3, 8.3 [6.5, 7.1, 6.7, 8.1] Hypothesis Tests for Two Proportions
  • 7.2, 8.2 [6.3, 7.3, 6.5, 8.3] Hypothesis Tests for Two Means

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Week 16 | Current Week

• 05/04/2020 - 05/08/2020
• Lecture notes:
  • 9.1 [8.1, 6.5, 8.5] Square Goodness-of-Fit Test
  • 9.2 [8.2, 8.6] Chi-Square Tests of Homogeneity and Independence
• Final Exam: Monday, 05/11/2020, 10:00 AM - Tuesday, 05/12/2020, 10:00 AM.

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REMEMBER!

When in doubt, post your question on Piazza or email me at hknguyen@illinois.edu! Don’t wait!