UNIVERSITY OF MIAMI
 

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
Solutions
Thurs Sept 2 Interactive Binomial
Motivation: Coin Flipping
Algebra of Sets
Three Rules for Probability
Homework 2
Solutions
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
Solutions
Homework 3
Solutions
Thurs Oct 7 Definition of Random Variables
Definition of Expected Value
Linearity of Expected Value
Expected Value of Geometric and Binomial
Homework 4
Solutions
Thurs Oct 21 Variance and Standard Deviation
Covariance
Joint Distributions
Independence of Random Variables
Exam 2: Thurs Oct 28, in class
Practice Exam





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