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  • Virtual Laboratories in Probability and Statistics
Bertrand's Experiment
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet is a simulation of Bertrand's experiment: a random chord on a circle The event of interest is whether the length of the chord is larger than the length of the inscribed equilateral triangle. Three models for generating the random chord can be used.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Beta Coin Experiment
Unrestricted Use
CC BY
Rating
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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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Beta Estimate Experiment
Unrestricted Use
CC BY
Rating
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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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Binomial Timeline Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates Bernoulli trials in terms of random points on a timeline. The random variables of interest are the number of successes and the proportion of successes. The number of trials and the probability of success can be varied. This applet illustrates the law of large numbers, the central limit theorem, and the binomial distribution.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Bivariate Normal Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Bivariate Uniform Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Buffon's Needle Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates Buffon's needle experiment and the corresponding approximation of pi. The event of interest is that the needle crosses a crack. The length of the needle can be varied. The applet illustrates a random experiment, the sample space, random variables, probability, and relative frequency.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Coin Die Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet is a simulation of the experiment that consists of tossing a coin and then rolling either a red die or a green die, depending on the outcome of the coin toss. The probability of heads and the distributions of the two dice can be specified. The applet illustrates a two-stage experiment.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Die Coin Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates the experiment of rolling a die and then tossing a coin the number of times shown on the die. The die distribution and the probability of heads can be specified. The applet illustrates a two-stage experiment.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Finite Order Statistic Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet is a simulation of the experiment of selecting n objects at random from the first m positive integers. The random variables of interest are the order statistics. The applet illustrates the distributions of the order statistics.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Galton Board Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and descriptive text. The applet illustrates Bernoulli trials in terms of a Galton Board. The number of trials and the probability of success can be varied. The random variables of interest are the number of successes and the probability of a success. The applet illustrates the binomial distribution, the law of large numbers and the central limit theorem.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Galton Board Game
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Gamma Estimate Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

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

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Gamma Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/01/2006
Interactive Histogram
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/20/2006
Interactive Scatterplot
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Matching Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Monty Hall Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
01/18/2006
Monty Hall Game
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
Negative Binomial Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011