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Resource Name |
Topic (Course) |
Technology |
Type |
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Ball and Urn Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[1]
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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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Poisson Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[4]
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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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Coin Toss
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[3]
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Explore probability concepts by simulating repeated coin tosses.
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Chocolate Chip Simulation
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[1]
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Simulate random placement of any number of chocolate chips on 100 cookies.
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Poisson Processes
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Activity |
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[0]
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Guides students through exploration of properties of the Poisson and Exponential distributions (applets embedded).
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Law of Large Numbers Activity
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Activity |
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[0]
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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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How Random!
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Discrete Random Variables (Probability & Statistics) |
TI-Nspire |
Activity |
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[0]
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In this activity, students use simulations and graphs to explore the common-sense notion that repeatedly flipping a coin results in “heads up” about half of the time. First, students simulate an...
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Negative Binomial Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[0]
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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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Problem of Points Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[0]
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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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Matching Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[0]
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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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Birthday Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[0]
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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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Coupon Collector Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[0]
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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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Poker Experiment
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Discrete Random Variables (Probability & Statistics) |
Java Applet |
Tool |
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[0]
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Java applet that simulates poker hands (runs from Mozilla Firefox). Reports experimental and theoretical probabilities on nine different types of hands (5-card).
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Pollution and Peppered Moths
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Discrete Random Variables (Probability & Statistics) |
JavaScript |
Tool |
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[0]
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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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