Beta Estimate Experiment
This resource consists of a Java applet and expository text. The applet simulates a random sample from a beta distribution, and computes standard point estimates of the left and right parameters. The bias and mean square error are also computed.
Author(s): No creator set

Beta Coin Experiment
This resource consists of a Java applet and expository text. The applet illustrates Bayesian estimation of the probability of heads for a coin. The prior beta distribution, true probability of heads, and the sample size can be specified. The applet shows the posterior beta distribution.
Author(s): No creator set

Voter Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the voter experiment, an interacting partile system that consists of a rectangular array of sites. At each discrete time unit, a site is chosen at random, a neighboring site is chosen, and the color of the first site is changed to that of the neighbor. The applet illustrates clustering of the colors and convergence to consensus.
Author(s): No creator set

Venn Diagram Applet
This resource consists of a JavaScript applet and expository text. The applet is an interactive illustration of the 16 sets that can be constructed from two given sets using the operations of union, intersection, and complement.
Author(s): No creator set

Random Variable Experiment
This resource consists of a Java applet and expository text. The applet simulates a number of probability distributions, including the normal, gamma, chi-square, student t, beta, Pareto, F, extreme value, Weibull, logistic, and lognormal distributions.
Author(s): No creator set

Quantile Applet
This resource consists of a Java applet and expository text. The applet shows cumulative probabilities and corresponding quantiles for a variety of distributions, including the normal, gamma, chi-square, student t, F, Weibull, beta, Pareto, logistic, lognormal, and extreme value.
Author(s): No creator set

Galton Board Game
This resource consists of a Java applet and expository text. The applet illustrates the Galton board in which a ball falls through a triangular array of pegs. Various combinatorial ideas are illustrated, including combinations, bit strings, and binomial coefficients.
Author(s): No creator set

Fire Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the fire process, an interacting particle system consisting of a rectangular lattice of "trees". At each discrete time unit, each tree is either on green, on fire, or burnt. A tree on fire at a given time can catch neighboring trees on fire at the next time unit. The probabilities of fire spread can be varied.
Author(s): No creator set

Bivariate Uniform Experiment
This resource consists of a Java applet and expository text. The Java applet illustrates the bivariate uniform distribution on three types of regions: a square, a circle, and a triangle. Simulated points from the distribution are shown as dots in a scatterplot.
Author(s): No creator set

Bivariate Normal Experiment
This resource consists of a Java applet and expository text. The applet simulates the bivariate normal distribution. The means are set at 0, but the standard deviations and the correlation can be varied. Simulated points from the distribution are shown as dots in a scatterplot.
Author(s): No creator set

Two-Type Poisson Experiment
This resource consists of a Java applet and expository text. The applet illustrates the arrivals in a Poisson process where each arrival, independently, is one of two types. The time interval, the rate of the process, and the probability that an arrival is type 1 can be varied. The applet illustrates "splitting" a Poisson process.
Author(s): No creator set

Red and Black Game
This resource consists of a Java applet and expository text. The applet allows the student to play the game of red and black, by betting on a sequence of Bernoulli trials until either a target is reached or the player is ruined. The target, initial fortune, and trial win probability can be varied.
Author(s): No creator set

Red and Black Experiment
This resource consists of a Java applet and expository text. The applet simulates the red and black experiment in which a player bets on a sequence of Bernoulli trials until a target fortune is reached or the player is ruined. The initial fortune, target fortune, and trial win probability can be varied, and the user can select either of two basic strategies: timid play or bold play.
Author(s): No creator set

Poisson Experiment
This resource consists of a Java applet and expository text. The applet simulates the arrivals in a Poisson process during a time interval. The length of the interval and the rate of the process can be varied. The applet illustrates the Poisson distribution and a special case of the central limit theorem.
Author(s): No creator set

Gamma Experiment
This resource consists of a Java applet and expository text. The applet simulates the time of the k'th arrival in a Poisson process. The arrival number k and the rate of the Poisson process can be varied. The applet illustrates the gamma distribution and a special case of the central limit theorem.
Author(s): No creator set

Triangle Experiment
This resource consists of a Java applet and expository text. The applet illustrates the triangle experiment: A stick is broken randomly into three parts. The events of interest are that the pieces form an acute triangle, an obtuse triangle, or no triangle.
Author(s): No creator set

Spinner Experiment
This resource consists of a Java applet and expository text. The applet simulates a basic spinner. The number of sectors and the probability of each sector can be specified.
Author(s): No creator set

Roulette Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the standard casino roulette game. The random variables of interest are the winning under various bets.
Author(s): No creator set

Random Walk Experiment
This resource consists of a Java applet and descriptive text. The applet illustrates a random walk on a discrete time interval from 0 to n. The time n and the probability of a step to the right can be varied. The random variables of interest are the final position, the maximum position, and the time of the last zero.
Author(s): No creator set

Problem of Points Experiment
This resource consists of a Java applet and descriptive text. The applet illustrates the problem of points: a coin is tossed until either n heads occurs or m tails occurs. The parameters n, m, and the probability of heads can be varied.
Author(s): No creator set