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A discussion of the derangement problem with links to demonstrations of the concept. The number in the derangements as the number of objects approaches infinity is shown to be equal to $$e$$.
$$n$$ balls numbered 1 through $$n$$ are randomly arranged. A match occurs when the ball number matches the position number. The number of matches is recorded.
Part of the Virtual Laboratories in Probability and Statistics. This link is to the extensive expository material which in turn links to associated applet material.
This Wikipage provides a lengthy explanation of the normal continuous (Gaussian) distribution.
The birthday problem is approached from a discrete math point of view. Little to no background or description for the problem is given.

The lesson begins with an application problem to motivate the necessity and use of a logarithm. The formal definition linking logs and exponents is then introduced.

This activity, created by Arthur N. DiVito, Ph.D, simulates mixture problems by using red and white colored beads. Mixture A is 70% red, and mixture B is 40% red (as determined by weight).
Students will be presented with two different gas stations, and will have to come up with equations to determine the price of gas at each.
Students will calculate relationships in the solar system using scientific notation. This requires that students understand how to multiply and divide exponential expressions.
Using systems of equations, students will determine the missing components in the ratios used to determine batting average.