Handouts

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Prerequisite Review Exercises [.pdf] (Note that 10 and 11 are not single-variable problems, but really multi-variable problems in disguise.)

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]


Michael's Home Page * UBC Math Department
Michael Kozdron
December 3, 2010