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Why Study Probability?
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A Brief Introduction to
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Contents
Contents
Probability
Subsections
Why Study Probability?
What is Probability?
Darwin awards
Not so fast, Charles
Calculation of Probability
Independence
Venn Diagrams
Bayes's Theorem
Cracking a lock
Back to Independence
Problems
Counting possibilities
Question
Question
Return to New York
Questions
Binomial Expansion
Binomial Distribution
Problems
Plotting the distro
Sharpness as N gets bigger
Continuous distributions
Problem
Infinitesimals in probability
Problem
Averaging
Gambling doesn't pay,
sometimes
There are many ways to skin a guanabana
Averages of continuous variables
Properties of averages
Problems
Averages in involving multiple variables
Averages in involving multiple discrete variables
Averages in involving multiple continuous variables
Averages for independent variables
Problem
Average of a Binomial Distro
Variance: just how fat is your distribution?
*Variance of binomial distro
Problems
Gaussians are quite normal
Here there and everywhere
Problem
Was this a freak accident?
Variance of N variables
Random Walks
Correlations
Correlation vs. Causation
Linear Regression
Josh Deutsch 2009-03-05