Important external links

Cornell Notes: Advice on how to efficiently take written notes

Lecture notes: Required reading for this course

Class 1: August 24th, 2026
Orientation.

A role model

First-Day Handout

Lecture notes

Class 2: August 26th, 2026
Probability. Random variables

Wikipedia: Set notation

Problem Set #1: Material we will work on in class

Class notes

Problem Set #1: Solutions

Class 3: August 28th, 2026
Discrete random variables. Conditional probability.

Problem Set #2: Material we will work on in class

Class notes

Homework #1 – due on Friday, September 4th, 2026

Class 4: August 31st, 2026
Independence. More on discrete random variables.

Class notes

Problem Set #2: Solutions

Class 5: September 2nd, 2026
Named discrete distributions.

Wikipedia: The binomial theorem

Wikipedia: Pascal’s triangle

Mathematica demonstration: The binomial distribution

Problem Set #3: Problems we will work on in class

Class notes

Mathematica demonstration: The geometric distribution

Wikipedia: The Poisson distribution

Problem Set #3: Solutions

Class 6: September 4th, 2026
Expectation. Variance.

Class notes

Homework #2 – due on Friday, September 11th, 2026

Class 7: September 9th, 2026
More on expectation and variance.

Problem Set #4: Problems we will work on in class

Class notes

Problem Set #4: Solutions

Class 8: September 11th, 2026
Continuous distributions.

Problem Set #5: Problems we will work on in class

Class notes

Homework #3 – due on Friday, September 18th, 2026

Class 9: September 14th, 2026
More on continuous distributions. The normal distribution.

Standard Normal Distribution Areas from the Wolfram Demonstrations Project by Ian McLeod

The Normal Distribution from the Wolfram Demonstrations Project by Ian McLeod

Area of a Normal Distribution from the Wolfram Demonstrations Project by Eric Schulz

Class notes

Problem Set #5: Solutions

Class 10: September 16th, 2026
The cumulative distribution function (cdf).

Problem Set #6: Problems we will work on in class

Class notes

Problem Set #6: Solutions

In-Term One: Topics

Practice for In-Term One – problems

Practice for In-Term One – solutions

Class 11: September 18th, 2026
More on the cdf.

Problem Set #7: Problems we will work on in class

Standard normal table

R code on the normal

Class notes

Problem Set #7: Solutions

Class 12: September 21st, 2026
Random vectors.

Class notes

Class 13: September 23rd, 2026
In-Term One

Class 14: September 25th, 2026
More on random vectors.

Class notes

Homework #4 – due on Friday, October 9th, 2026

Class 15: September 28th, 2026
Independence. Transformations of random variables.

Problem Set #8: Problems we will work on in class

Class notes

Class 16: September 30th, 2026
More on transformations of random variables.

Class notes

Problem Set #8: Solutions

Class 17: October 2nd, 2026
The triangle distribution. The \(\chi^2-\)distribution.

Zed Statistics video: The \(\chi^2-\) distribution.

Class notes

Homework #5 – due on Friday, October 16th, 2026

Class 18: October 5th, 2026
The \(F-\)distribution. Moment generating functions.

Problem Set #9: Problems we will work on in class

Class notes

Class 19: October 7th, 2026
More on moment generating functions: Sums of independent random variables.

Class notes

Problem Set #9: Solutions

Class 20: October 9th, 2026
More on the normal distribution.

Problem Set #10: Problems we will work on in class

Problem Set #10: Solutions

De Moivre-Laplace.

Problem Set #11: Problems we will work on in class

Mathematica demonstration: The Normal Approximation to the Binomial Distribution

The R-script from class

Class notes

Problem Set #11: Solutions

Homework #6 – for practice; not to be handed in

Homework #6 – solutions

Class 21: October 12th, 2026
The Central Limit Theorem.

Problem Set #12: Problems we will work on in class

Class notes

Problem Set #12: Solutions

Class 22: October 14th, 2026
More on the \(\chi^2-\)distribution. The \(\Gamma-\)distribution. The statistical set-up.

Mathematica demonstration: The Chi-Squared Distribution

Mathematica demonstration: Tail Areas under the Chi-Squared Distribution

A \(\chi^2-\)table

Class notes

The R-script from class

Homework #7 – for practice; not to be handed in

Homework #7 – solutions

In-Term Two: Topics

Practice for In-Term Two – problems

Practice for In-Term Two – solutions

In-Term Two From Spring 2026

In-Term Two From Spring 2026 – solutions

Class 23: October 16th, 2026
More on the statistical set-up. Order statistics.

Problem Set #13: Problems we will work on in class

Class notes

Class 24: October 19th, 2026
More on order statistics. Sampling distributions. Estimators. Bias.

Problem Set #13: Solutions

Problem Set #14: Problems we will work on in class

Problem Set #14: Solutions

Class notes

Class 25: October 21st, 2026
In-Term Two

Class 26: October 23rd, 2026
More on bias. Mean squared error.

Problem Set #15: Problems we will work on in class

Class notes

Homework #8 – due on Friday, October 30th, 2026

Class 27: October 26th, 2026
More on MSE.

Class notes

Homework #9 – due on Friday, November 6th, 2026

Class 28: October 28th, 2026
MSE wrap-up. Confidence intervals.

Class notes

Problem Set #15: solutions

Class 29: October 30th, 2026
More on confidence intervals.

Problem Set #16: Problems we will work on in class

Class notes

Class 30: November 2nd, 2026