Topics: Tartan Dice, Terminated Geometric, World Series Pitchers, Negative Hypergeometric, Coin Tossing Geometric & Negative Hypergeometric Distributions Topics: Infinite Expectation Royal Oak Lottery Poisson as Limit Conditional Random Var Conditional Expectation Runs of Heads and Tails Two Wins Takes All Topics: Unconscious Statistician Properties of Expectation Binomial Expectation Tail-Sum Theorem Geometric Tail-Sum Negative Binomial Expectation Coupons Problem Variance Telescoping Series ConvergenceĮxpectation II: Infinite & Conditional Expectation Topics: Discrete Random Variables Event Space for a DRV Bridge and Poker Binomial Distribution Geometric Distribution Negative Binomial Distribution Exponential Function Poisson Distribution Distribution Function Distribution Examples Function of Random Var First Computer ProjectĮxpectation I: Binomial Expectation & Variance Topics: Wisdom of Solomon Eddington's Controversy Affirmative Action Simpson's Paradox Topics: Independence of 3 Events Compound Experiments Accidental Independence Sudden Death Sampling Paradox Paul at Lystra Conditional Four Aces Conditional Probability Independence of Events Complimentary Events The Bearded Man Problem Lemons Two Useful Theorems Conditional Munchkins Monty Hall Problem Random DessertsThese lectures were offered as an online course at the Harvard Extension SchoolThis online math course develops the mathematics needed to formulate and analyze probability models for idealized situations drawn from everyday life.View complete course (Outline, Problem sets,etc) at. Topics: Count A Cartesian Product The Binomial Theorem Counting Poker Hands Counting Bridge Hands The Munchkin Problem Genoese Lottery Counting Suit Patterns Negative Binomial Theorem Count by Inclusion-Exclusion Topics: Review of the Basics DeMorgan's Laws Inclusion-Exclusion Cups and Saucers Cups and Saucers # 2 Urns Family Planning Twenty-first-Century Sheherezade Craps Achilles Rolls of a 6 Probability by Counting and Inclusion-Exclusion LOS 40 (a) Explain the use of value at risk (VaR) in measuring portfolio risk.Topics: Probability by Symmetry Probability by Experiment Payoffs and Probability Fair Price and Probability Notation to Combine Sets Venn Diagrams Events and Sample Spaces Event Spaces Addition of Probabilities Probability Functions Inclusion-Exclusion Rule Many Ways to Skin a Cat Reading 40: Measuring and Managing Market Risk
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