SU-CS109 NOV062023
Last edited: August 8, 2025Key Sequence
Notation
New Concepts
Important Results / Claims
- sample mean
- sample variance
- standard error of the mean: “variance of the mean”: “how wrong is your meassured mean”
Questions
Interesting Factoids
SU-CS109 NOV082023
Last edited: August 8, 2025Key Sequence
Notation
New Concepts
Important Results / Claims
Questions
Interesting Factoids
SU-CS109 NOV102023
Last edited: August 8, 2025Key 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}