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Prerequisite Review Exercises [.pdf] (Note that 10 and 11 are
Solutions to Prerequisite Review Exercises [.pdf]
Thinking About Probability [.pdf]
Summary of Lecture from September 13, 2010 [.pdf]
Summary of Lecture from September 15, 2010 [.pdf]
Summary of Lecture from September 17, 2010 [.pdf]
Class Exercises from September 20, 2010 [.pdf]
Summary of Lecture from September 22, 2010 [.pdf]
Class Exercises from September 24, 2010 (Revised) [.pdf]
Tips for Using Bayes' Rule (September 27, 2010) [.pdf]
Summary of Lectures from September 13, 2010, through September 27, 2010 [.pdf]
Summary of Lecture from September 29, 2010 [.pdf]
Summary of Continuous Random Variables [.pdf]
The Gamma Function [.pdf]
The Beta Function [.pdf]
The Binomial Distribution [.pdf] Solutions [.pdf]
The Birthday Problem [.pdf]
Class Exercises from October 20, 2010 [.pdf]
Summary of Lectures from October 20, 2010, through October 25, 2010 [.pdf]
Summary of Lecture from October 27, 2010 [.pdf]
Some Properties of Expected Value [.pdf]
Estimates of the Deviation of a Random Variable from its Mean [.pdf]
Extra Exercises [.pdf]
The Maximum and Minimum of Two IID Random Variables [.pdf]
A Function of a Random Variable [.pdf]
Some Examples of a One-Dimensional Change of Variables [.pdf]
A Confidence Interval for the Mean of a Normal Population with Known Variance [.pdf] Solutions [.pdf]
Summary of Continuous Random Variables [.pdf]
Practice Problems for Midterm #2 (with Solutions) [.pdf]
The Poisson Process [.pdf]
The Central Limit Theorem [.pdf]
The Law of Large Numbers [.pdf]
The Normal Approximation to the Binomial Distribution [.pdf]
Summary of Discrete Random Variables and Calculations of Means and Variances for Discrete Random Variables [.pdf]
The Poisson Approximation to the Binomial Distribution [.pdf]
Class Exercises from November 26, 2010 [.pdf]
More on the Poisson Process [.pdf]
Computing Probabilities for Discrete Random Variables and Computing Probabilities for Continuous Random Variables [.pdf]
Some Final Counting Problems [.pdf]