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A complete reference of all formulas, distributions, and key results from this textbook.

This formula sheet will be populated as chapters are completed.

1Chapter 1: Basics

FormulaName
yˉ=1n∑i=1nyi\bar{y} = \frac{1}{n}\sum_{i=1}^n y_iSample mean
s2=1n−1∑i=1n(yi−yˉ)2s^2 = \frac{1}{n-1}\sum_{i=1}^n (y_i - \bar{y})^2Sample variance (definitional)
s2=∑yi2−nyˉ2n−1s^2 = \frac{\sum y_i^2 - n\bar{y}^2}{n-1}Sample variance (shortcut)
s=s2s = \sqrt{s^2}Sample standard deviation

2Chapter 2: Probability

To be added.

3Chapter 3: Conditional Probability

To be added.

4Chapter 4: Discrete Distributions

To be added.

5Chapter 5: Continuous Distributions

To be added.

6Chapter 6: Multivariate Distributions

To be added.

7Chapter 7: Functions of Random Variables

To be added.

Appendices
Glossary
Appendices
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