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A video lecture proving that the correlation is less than one. It starts with finding the variance of \(aX + bY\), then sets \(b=1\) and finds the value of \(a\) that minimizes the variance.
This video lecture introduces covariance and proves several properties.
This page contains the definition of the covariance and correlation of random variables. It contains properties, with proofs, of both concepts, such as the variance of a sum.
He uses the example of the number of cars passing a point to illustrate a Poisson process.
This article gives the history, properties, occurrence, related distributions, and parameter estimation for the Poisson distribution.
This is an interactive applet requiring Mathematica or the Wolfram CDF player.
"This applet shows a Galton board game with 10 rows."

This applet demonstrates an "experiment consisting of rolling a die and then tossing a coin the number of time shown on the die." This demonstrates conditional probability and conditi

This applet demonstrates an "\(\dots\)experiment consist[ing] of rolling \(n\) dice, each governed by the same probability distribution."

This applet demonstrates an experiment consist[ing] of first tossing a coin, and then rolling a red die if the coin lands heads or a green die if the coin lands tails."

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