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Copulas, Characterization, Correlation, and Counterexamples

This resources is an article in Mathematics Magazine (1995); it is reprinted in Classroom Capsules and Notes.

Multivariate Distributions, Multinomial, Probability

This resource is an article in College Mathematics Journal (2002) and is republished in Classroom Capsules and Notes.

Expected Value, Variance and Higher Moments, Probability

A Surprising Application of the Integral \( \int^T_0 ( 1 - F(x)) dx \) to Revenue Projection (Classroom Capsules and Notes)

This article appeared in Mathematics Magazine (1993) and is contained in Classroom Capsules and Notes.

Continuous Distributions, General, Probability

Correlation and Dependence - Introduction

Wikipedia entry for correlation.

Expected Value, Covariance and Correlation

Gambler's Ruin - Introduction and demonstration

Simple, straightforward definition of the problem with a solution. No explanation of how the solution is found.

Discrete Distributions, Bernoulli and Binomial, Famous Problems, Gambler's Ruin

Roulette - Introduction and Interactive Resource

An explanation of the American Roulette game is given. The experiment consists of rolling a ball in a groove in the wheel; the ball eventually falls randomly into one of the 38 slots.

Games of Chance

Roulette - Introduction and interactive resources

This segment is part of the Virtual Labs in Probability and Statistics games of chance. The game and some bets are explained and the probabilities developed.

Games of Chance, Discrete Distributions, General

Roulette - Example of bets

This is the home page for calculations and simulations on roulette bets.

Games of Chance

Joint, Marginal, and Conditional Distributions, and Bayes' Rule - Video

This video lecture introduces joint, marginal, and conditional distributions. The example is for a discrete distribution, but captions describe how continuous distributions would work.

Joint, Marginal, Conditional Distributions

Building a Probability Tree - Customizable tree complete with instant calculations

This applet allows users to create conditional probability trees that immediately display all conditional probabilities and allows users to simulate probabilities using a ball-dropping visual.

Joint, Marginal, Conditional Distributions