Dice Experiment
This resource consists of a Java applet and expository text. The applet simulates rolling n dice. The random variables of interest are the sum of the scores, the maximum score, the minimum score, and the number of aces. The number of dice and the probability distribution that governs the dice can be specified. The applet illustrates various distributions and the central limit theorem.
Craps Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the standard casino craps game. The random variables of interest are the winning under various bets.
Coupon Collector Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the coupon collector problem, which consists of sampling from the first m positive integers, with replacement, until k distinct values are obtained. The parameters m and k can be varied. The random variable of interest is the size of the sample.
Coin Sample Experiment
This resource consists of a Java applet and expository text. The applet simulates coin tosses. The number of coins and the probability of heads can be varied.
Coin Die Experiment
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.
Chuck-a-Luck Experiment
This resource consists of a Java applet and expository text. The applet simulates the chuck-a-luck experiment of rolling 3 fair dice. The random variable of interest is the net profit of the player.
Card Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of drawing n cards from a standard deck. The parameter n can be varied.
Buffon's Coin Experiment
This resource consists of a Java applet and expository text. The applet simulates Buffon's coin experiment. The radius of the coin can be varied. The applet illustrates a random experiment, the sample space, random variables, events, probability, and relative frequency.
Birthday Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the birthday experiment: a sample of size n is chose at random and with replacement from the first m positive integers. The random variable of interest is the number of distinct sample values. The event of interest is that all sample values are distinct.
Binomial Timeline Experiment
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.
Binomial Coin Experiment
This resource consist of a Java applet and expository text. The applet simulates Bernoulli trials in terms of coin tosses. The random variables of interest are the number of heads and the proportion of heads. The number of coins and the probability of heads can be varied. The applet illustrates the law of large numbers and the central limit theorem.
Bertrand's Experiment
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.
Ballot Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the ballot experiment: The votes in an election are randomly counted. The event of interest is that the winning candidate is always ahead in the vote count.
Buffon's Needle Experiment
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.
Accuracy of Series Approximations
In physics and mathematics, series expansions to approximate functions are often used because using the exact solution is either impossible or involves unnecessary complicated calculations. This Demonstration shows accuracy for a series of expansions and how adding terms increases that accuracy moving away from the origin.
Accuracy
This website presents MathWorld's definition of accuracy. The site also includes links to related concepts and other math topics.
Gil Strang's Introduction to Calculus for Highlights for High School
Gil Strang gives an overview of his video series Calculus for MIT's Highlights for High School program. Designed to give an easier introduction to calculus.
View the complete course at: http://ocw.mit.edu/highlights-of-calculus
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
Gil Strang's Introduction to Calculus for Highlights for High School
Gil Strang gives an overview of his video series Calculus for MIT's Highlights for High School program. Designed to give an easier introduction to calculus.
View the complete course at: http://ocw.mit.edu/highlights-of-calculus
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
