Key Sequence
Notation
New Concepts
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.
“expectation of the sum is the sum of the expectations”. “Can I write the expectation I want to calculate as the sum of something else?”
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}