04 - Probability and random sampling (Sept. 28-Oct. 4)
Rules of Probability and Random Variables
Learning Objectives
- Describe the difference between mutually exclusive (or disjoint) and independent variables.
- Define the basic rules of probability including the complement rule, addition rule, multiplication rule, and rule of conditional probability.
- State the law of total probability and Bayes’ theorem.
- Define a random variable and describe the difference between the two types: discrete and continuous. Give an example of each variable.
- Explain the distribution of a random variable and its importance in computing probabilities.
- State two conditions that must always apply to the probabilities for a discrete random variable.
Videos & Video Lectures
- Introduction to Probability Links to an external site. - Lesson 4 Intro (1 minute)
- Probability and Random Sampling Links to an external site. - Lesson 4.1 (22 minutes)
- Addition Rule Links to an external site. - Lesson 4.2 (26 minutes)
- Frequentist Probability Links to an external site. - Lesson 4.3 (26 minutes)
Readings
- IPS Text - Chapters 4.1-4.3
- BIA: Creagan, et al. Download Creagan, et al. (for discussion 9/28) consider BIA questions Download BIA questions
Assignments
- Due Oct 2: Homework #4
- Due Oct 4: Lab #4
Required Online Adobe Connect Sessions
- Wednesday, September 28 7-8:20pm ET - Happy Hour with Rod Little
- Topic - Review Week 3, Homework Q&A, Preview Week 4, BIA 2: Creagan article
- Week 4 Happy Hour Recording
- Monday, October 3 7-8:20 pm ET - Lab 4 with Swastina Shrestha
- Week 4 Lab Recording
Powerpoint Slides
- Lesson #4 video lecture slides Download lecture slides
- Happy Hour slides
- Lab slides