# Resource Library

#### Statistical Topic

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• ### The Gambler's Ruin Problem

This applet allows you to experience the fate of a gambler by simulating the whole gambling session in a matter of seconds. The applet plots the successive rises and falls of the capital during the whole duration of the game. It also displays the maximum and minimum values attained by the capital during the session and allows you to get precise information (by clicking at a point of the histogram) of the amount of capital after that particular bet.
• ### Collecting Prizes from Cereal Boxes

This applet is a probabilistic study of picking prizes from an unlimited supply of cereal boxes. The applet helps to answer how many boxes of cereal need to be purchased to have a 50/50 chance of getting all the prizes.

This applet is a probabilistic study of picking fortunes from a limited supply of fortune cookies. The student will try to answer how many cookies he/she has to eat to have a 50/50 chance of reading all the fortunes.
• ### Computer Animated Statistics

This site offers a collection of applets in which standard topics of statistics and probability are presented in a novel and visual way using computer animated images. Topics include dependence, independence, conditional probabilities, expectation and variance, normal, exponential, Poisson distributions, law of large numbers and the central limit theorem, hypothesis testing maximum likelihood estimation, sampling, chi-square tests, and the construction of confidence intervals.
• ### Forest Fires and Percolation

This is the description and instructions as well as a link for the Forest Fires and Percolation applet. It builds a background with a "hands-on" activity for the students which then leads to the applet itself. The applet is a game where the object is to save as many trees from the forest fire as possible. It shows the spread of a fire with the variable of density and the probabilty of the number of surviving trees.
• ### The Self-Avoiding Random Walk

This site provides the description and instructions for as well as the link to The Self-Avoiding Random Walk applet. In the SAW applet, random walks start on a square lattice and then are discarded as soon as they self-intersect. If a random walk survives after N steps, we compute the square of the distance from the origin, sum it up, and divide by the number of survivals. This variable is plotted on the vertical axis of the graph, which is plotted to the right of the field where random walks travel.
• ### Diffusion Limited Aggregation: Growing Fractal Structures

This site provides the description and instructions for as well as the link to the Diffusion Limited Aggregation: Growing Fractal Structures applet. This applet strives to describe, classify, and measure different random fractal patterns in nature.
• ### The Anthill and Molecular Motion

This is the description and instructions for the the Anthill and Molecular Motion applet. Topics include mixing, diffusion, and contour plots.
• ### The Two-Dimensional Random Walk

This is the description and instructions for the Two-Dimensional Random Walk applet. This Applet relates random coin-flipping to random motion but in more than one direction (dimension). It covers mean squared distance in the discussion.
• ### The One-Dimensional Random Walk

This is the description and instructions for the One-Dimensional Random Walk applet. This Applet relates random coin-flipping to random motion. It strives to show that randomness (coin-flipping) leads to some sort of predictable outcome (the bell-shaped curve).