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This web page contains the definition of expected value for discrete and continuous random variables. It also defines moments and conditional expected value.
An applet in which students enter the probability and amount of a payoff, then run many trials to see total payoff and average payoff per game.

A lesson plan for introducing the concept of expected value. Includes NCTM standards, student prerequisites, links to vocabulary, an outline of the lesson, and suggested follow-up.

This web page contains the definition of expected value for discrete distributions, and also one example comparing two choices to show which has the largest expected value.

Video from Khan Academy. Proves that the expected value of the binomial distribution is $$n*p$$.
Video from Khan Academy. An introduction to expected value. It starts with the arithmetic mean and develops expected value for a discrete distribution.
This video lecture introduces the definition of expected value and does a discrete example.
A video explaining the concept of iterated expectations. The formula is developed, and consequences of that formula to the field of econometrics are discussed.
Wikipedia entry for correlation.
Wikipedia entry for covariance. It contains definitions for covariance of random variables and random vectors; a discussion of properties; and the calculation of sample covariance.