Intro. to Probability (with R)

September 12, 2023 November 23, 2023

University of Denver

Undergraduate

Studies axioms, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems from theoretical and simulation perspectives using R programming language.

September 11th – 13th
|
Introduction to the course;
Getting started with R

September 18th – 20th
| Probability basics
Simulations

September 25th – 27th
| Conditional probability and independence
Counting Arguments

October 2nd – 4th
| Random Variables and Probability mass functions
Expected Value

October 09th – 11th
| Binomial and geometric random variables
Functions of a random variable

October 17th – 19th | MIDTERM (10/16)
Variance, standard deviation and independence

October 24th – 26th
| Poisson, negative binomial and hypergeometric
Continuous Random Variables and density functions

October 31st – November 2nd
| Expected Value, Variance and standard deviation
Normal Random Variables

November 7th – 9th
| Uniform and exponential random variables
Estimating probabilities and discrete distribution

November 14th – 16th
| Estimating continuous distribution
Central Limit Theorem

November 20th
|
FINAL EXAM