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Law of Large Numbers Activity

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Activity 

[0]

This is part I of a heterogeneous activity that demonstrates the theory and applications of the Law of Large Numbers (LLN). Part II of this activity contains more examples and diverse experiments.
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Poisson Processes

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Activity 

[0]

Guides students through exploration of properties of the Poisson and Exponential distributions (applets embedded).
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How Random!

Discrete Random Variables (Probability & Statistics) 
TINspire 
Activity 

[0]

In this activity, students use simulations and graphs to explore the commonsense notion that repeatedly ﬂipping a coin results in “heads up” about half of the time. First, students simulate an...
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Ball and Urn Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[1]

Simulates drawing balls from an urn, with or without replacement. Specify number of balls, number of red balls, and number drawn. Requires a MathPlayer plugin (free).
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Birthday Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[0]

This simulator extends the classic birthday problem: user sets the number of days in a year and the number of people in a room. Birthdays are assigned at random, and the user may examine either disti...
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Chocolate Chip Simulation

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[1]

Simulate random placement of any number of chocolate chips on 100 cookies.
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Coin Toss

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[3]

Explore probability concepts by simulating repeated coin tosses.
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Coupon Collector Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[0]

The experiment consists of sampling with replacement from the population of m objects until k distinct values are obtained. The number of draws is recorded. This simulation is more general (but less...
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Matching Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[0]

In a permutation of n objects, a match occurs if the k'th object is numbered k. This simulation counts the number of matches in a random permutation. Requires a MathPlayer plugin (free).
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Negative Binomial Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[0]

Simulates counting number of Bernoulli trials until "k" successes occur (if k = 1, result is Geometric distribution). Requires a MathPlayer plugin (free).
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Poisson Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[4]

This applet allows the user to fix a rate and time interval for a Poisson process (counting the number of occurrences in a fixed time interval). Experimental and theoretical results, including expecte...
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Poker Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[0]

Java applet that simulates poker hands (runs from Mozilla Firefox). Reports experimental and theoretical probabilities on nine different types of hands (5card).
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Problem of Points Experiment

Discrete Random Variables (Probability & Statistics) 
Java Applet 
Tool 

[0]

Demonstrates the probability distribution (theoretical and empirical) for tossing a coin until you get n heads or m tails, whichever comes first. User sets n, m, and probability of heads. Requires M...
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Pollution and Peppered Moths

Discrete Random Variables (Probability & Statistics) 
JavaScript 
Tool 

[0]

This model explores the effects of pollution and bird predation on the protective coloration of peppered moths (through directed selection). A series of questions guides students' explorations.
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