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.

This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The class width can be varied and various summary statistics can be displayed.

This resource consists of a Java applet and expository text. The applet allows the user to construct a scatterplot by clicking on a graph to generate the bivariate data. The means, standard deviations, correlation, and the regression line are shown.

This resource consists of a Java applet and expository text. The applet is a simulation of the matching experiment, which consists of a random permutation of the first n positive integers. The random variable of interest is the number of matches (the number of integers in the random permutation that are in their correct positions). The applet illustrates the distribution of the number of matches and the convergence to the Poisson distribution.

This resource consists of a Java applet and expository text. The applet is a simulation of the Monty Hall experiment: a car is behind one door, goats are behind the other two doors. The player chooses a door and then the host opens another door. The player is given the option of switching to the remaining door. The stochastic behavior of the host and the probability of the player switching can be specified.

This resource consists of a Java applet and expository text. The applet consists of the Monty Hall game: a car is behind one door and goats are behind the other two doors. The player makes an initial choice and the host opens a different door. The player is then given the option of switching to the remaining door. The stochastic behavior of the host can be specified.

This resource consists of a Java applet and descriptive text. The applet illustrates the number of trials needed to get a specified number of successes in Bernoulli trials, in terms of random points on a discrete timeline. The applet illustrates the negative binomial distribution. The number of successes and the probability of success can be varied.

This resource consists of a Java applet and expository text. The applet simulates a random sample from a normal distribution, and computes standard point estimates of the distribution mean and standard deviation. The bias and mean square error are also computed.

This resource consists of a Java applet and expository text. The applet simulates the order statistics of a random sample from a given distribution. The sample size, order, and sampling distribution can be specified.

This resource consists of a Java applet and expository text. The applet simulates a random sample from a Pareto distribution, and computes standard point estimates of the shape parameter. The bias and mean square error are also computed.

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.

This resource consists of a Java applet and expository text. The experiment consists of rolling 5 fair dice. The random variable of interest is the type of hand.

This resource consists of a Java applet and expository text. The applet simulates the basic poker experiment of dealing 5 cards from a standard deck. The random variable of interest is the type of hand.

This resource consists of a Java applet and Expository text. The applet simulates the probability plot that compares the empirical quantiles of a sample from a sampling distribution to the distribution quantiles of a test distribution. The sampling distribution, test distribution, and sample size can be specified.

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.

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.

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.

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.

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.

The resource consists of a Java applet and expository text. The applet illustrates the distribution of the sample mean of a random sample from a given distribution. The sample size and the sampling distribution can be specified. The applet illustrates the central limit theorem.