Intro to Prob and Stats

There is no required textbook. All lecture notes will be posted here. For further reading I recommend John E. Freund's Mathematical Statistics with Applications. Strange Fact: The author died in 2004 and the current edition is written by Miller and Miller.

Office Hours: Tues and Wed at 4-5pm over Zoom. Also by appointment.

Here is the syllabus.
Course Notes
Item Date Information
Homework 1
Thurs Sept 2 Interactive Binomial
Motivation: Coin Flipping
Algebra of Sets
Three Rules for Probability
Homework 2
Thurs Sept 16 Principles of Counting
Multinomial Probability (Dice Rolling)
Hypergeometric Probability (Urn Problems)
Conditional Probability and Bayes' Theorem
Exam 1: Thurs Sept 23, in class
Homework 3
Thurs Oct 7 Definition of Random Variables
Definition of Expected Value
Linearity of Expected Value
Expected Value of Geometric and Binomial
Homework 4
Thurs Oct 21 Variance and Standard Deviation
Joint Distributions
Independence of Random Variables
Exam 2: Thurs Oct 28, in class
Homework 5
Z Table
Thurs Nov 11 Continuous Random Variables
Law of the Unconscious Statistician
De Moivre-Laplace Theorem
Central Limit Theorem
Homework 6
T Table
Chi^2 Table
Thurs Dec 2 Hypothesis Tests
Confidence Intervals
T and Chi^2 Distributions
Goodness of Fit?
Exam 3: Thurs Oct 28, in class