---
title: "SU-CS109 NOV102023"
source: https://www.jemoka.com/posts/kbhsu_cs109_nov102023/
date: 2023-11-10
---

Key Sequence Notation New Concepts Bernoulli distribution as an indicator conditional expectation law of total expectation Important Results / Claims Review: expectation. Expectation of the sums of random variables are linear regardless of whether or not the variables are IID, independent, whatever.
&ldquo;expectation of the sum is the sum of the expectations&rdquo;. &ldquo;Can I write the expectation I want to calculate as the sum of something else?&rdquo;
Questions Interesting Factoids \(\mathbb{E}[Y]\) =
\(x=1\): 3 \(x=2\): 5 + Y \(x=3\): 7 + Y \begin{equation} \mathbb{E}[Y] = 3 \cdot \frac{1}{3} + (5+ \mathbb{E}[Y]) \cdot \frac{1}{3} + (7+ \mathbb{E}[Y]) \cdot \frac{1}{3} \end{equation}
