On this page you will find the topics for each day’s class, along with the pre-class reading/video assignment, and the in-class activity.
Course Logistics
Quantifying Uncertainty
Note that the listed reading assignments should be completed prior to class
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Set Theory
Axioms of Probability
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Introduction to R and R Studio
Using R to sample and replicate
Intro to R and RStudio Demo
Files from 11am Class: .Rmd file and .html output
Files from 2pm Class: .Rmd file and .html output
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Conditional Probability
Independence of Events
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Bayes’ Rule
The Law of Total Probability
Prior and Posterior Probabilities
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
The Monty Hall Problem
Paradoxes and Fallacies in Conditional Probability
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Conditioning as Problem-Solving Strategy
Conditional Probability in R
Loops in R Demo
Files from 11am Class: .Rmd file and .html output
Files from 2pm Class: .Rmd file and .html output
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Random Variables
The PMF of a random variable
Examples of Random Variables: Bernoulli and Binomial
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Further Examples of Random Variables: Hypergeometric and Discrete Uniform
The CDF of a random variable
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Functions of Random Variables
Independence of Variables
Simulating Discrete Variables in R
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Expected Value of a Random Variable
Linearity of Expectation
The Law of the Unconscious Statistician
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Infinite Series
The Geometric and Negative Binomial Distributions
Discuss logistics for the first midterm (see details on the Exams page)
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Indicator Random Variables
The Fundamental Bridge
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
In-Class Midterm
Take-home midterm available on PWeb at 9am (in the Midterm Folder of the Documents tab)
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Poisson Distribution
The Poisson Paradigm
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Continuous Random Variables
Variance
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
The Uniform Distribution
Universality of the Uniform
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Normal Random Variables
Continuous Variables in R
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
The Exponential Variable
Connections between The Exponential and the Poisson variables
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Class resumes Monday, 10-24
Moments of Random Variables
Sample Moments
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Power Series
Taylor Series
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
The Moment Generating Function
Moment Generating Functions and Sums
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
2D LOTUS
Covariance and Correlation
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
In-Class Midterm
Take-home midterm available on PWeb at 5pm (in the Midterm Folder of the Documents tab)
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
None
Change-of-Variables Formula for Single and Multiple Random Variables
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
The Gamma Distribution
Poisson Processes
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
The Gamma Distribution
Poisson Processes
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
No new daily assignment; however, you may want to review your answers to DA 11-18
The Beta Distribution
Beta and Gamma Correspondence
Here are lecture notes from today’s class.
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
No class; thanksgiving holiday
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Condition expectation given a random variable
Properties of conditional expectation
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Multivariate Normal
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
CA 12-5 (We didn’t get to the class activity today.)
Inequalities
The Law of Large Numbers
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope
Note that the listed reading assignments should be completed by 10am and submitted to Gradescope