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Course Notes: Probability and Statistics
Probability
Basic Probability
Two Simple Tools
Probability Playground
Exercises
Solutions to Exercises
Counting Patterns
Compound Events
Independent Events
Odds
Partitions
Conditional Probability
Excercises
Solutions to Exercises
Binomial Theorem
Discrete Probability Functions
Worked Examples
Exercises
Solutions to Selected Exercises
Expected Value
Exercises
Solutions
Excercises
50 Counting Questions
50 Probability Questions
85 More Probability Questions
Statistics
R and Basic Statistical Functions
Data Frames
Descriptive Statistics
Visualizing Data in R
Data Analysis: Key Ideas
Exploratory Data Analysis
Statistics Formula Sheet
Sampling Functions
Sampling Distributions, the Central Limit Theorem and the Law of Large Numbers
The Central Limit Theorem and Estimation of the Mean
Sampling Distributions Examples
Normal Curve
Calculations with the Normal Curve
The
\(z\)
-Proportion Test
\(t\)
-Tests
The
\(t\)
-Test
Independent Samples
\(t\)
-Test
Matched Pairs
\(t\)
-Test
Small Samples and
\(t\)
-Tests
Proportion Testing
The
\(\chi^2\)
Test of Independence
Goodness of Fit (GOF)
ANOVA
Correlation and Regression
Statistical Estimation
Appendix
Overview, Index, Links
Statistical Formulas
Helpful Code
Graphics Options
Creating a Data Frame
Creating a Data Frame
Grid of Graphics
Poker Primer
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