In the prior module we focused on the definitions and how they come about in our development of a probability space. This module focuses on Bernoulli random variables, and certain natural random variables that come naturally from independent Bernoulli trials.

Unlike the text, we have always approached multiple random variables in a common probability space from the very beginning. In the text, the opposite approach is chosen, by introducing them in Chapter 2.5. They do not teach different things, merely presenting material in different orders.

The textbook is encyclopediaic, meant for revisiting material you already know. Introducing the material in the text order has the unfortunate consequence that students do not grasp the notion of dependence between random variables, and automatically think independence is the only recourse.

In addition, Chapters 3.6 and 4.4 make a cameo. A small part of Chapter 3.6 is used in the one of the problems we work out in class. Chapter 4.4 makes an appearance when we compute the moment generating functions of Bernoulli, Binomial and Geometric random variables.