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  • March 24, 2009 Activity webinar presented by Nicholas Horton, Smith College, and hosted by Leigh Slauson, Otterbein College. Students have a hard time making the connection between variance and risk. To convey the connection, Foster and Stine (Being Warren Buffett: A Classroom Simulation of Risk and Wealth when Investing in the Stock Market; The American Statistician, 2006, 60:53-60) developed a classroom simulation. In the simulation, groups of students roll three colored dice that determine the success of three "investments". The simulated investments behave quite differently. The value of one remains almost constant, another drifts slowly upward, and the third climbs to extremes or plummets. As the simulation proceeds, some groups have great success with this last investment--they become the "Warren Buffetts" of the class. For most groups, however, this last investment leads to ruin because of variance in its returns. The marked difference in outcomes shows students how hard it is to separate luck from skill. The simulation also demonstrates how portfolios, weighted combinations of investments, reduce the variance. In the simulation, a mixture of two poor investments is surprisingly good. In this webinar, the activity is demonstrated along with a discussion of goals, context, background materials, class handouts, and references (extra materials available for download free of charge)

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  • A joke to aid in discussing probability density functions for continuous random variables.  The joke was written in 2016 by Judah Lesser an AP statistics student from El Paso, Texas.

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  • A game to help with the active learning of the kinds of applied scenarios that are appropriately modeled by distributions covered in an upper division undergraduate or masters level probability course. The game is part of the Distributome.org probability resources developed by Ivo Dinov (University of Michigan), Dennis Pearl (Penn State University), and Kyle Siegrist (University of Alabama).
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  • This is an e-book tutorial for R. It is organized according to the topics usually taught in an Introductory Statistics course. Topics include: Qualitative Data; Quantitative Data; Numerical Measures; Probability Distributions; Interval Estimation; Hypothesis Testing; Type II Error; Inference about Two Populations; Goodness of Fit; Analysis of Variance; Non-parametric methods; Linear Regression; and Logistic Regression.
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  • A joke that can be used in distinguishing the difference between the probability mass function (pmf) for discrete variables and the probability density function (pdf) for continuous variables. The idea for the joke came in 2016 from Judah Lesser, an AP Statistics student from El Paso Texas.
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  • The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient. is a quote by Polish-French-American mathematician and developer of fractal geometry Benoit B. Mandelbrot (1924 - 2010). The quote appears in his 1982 book "The Fractal Geometry of Nature" W.H. Freeman
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  • A cartoon for use in teaching about the Normal distribution. The cartoon was drawn by Australian epidemiologist Matthew Freeman of the Public Health Information Development Unit at the University of Adelaide. It is free for use on course websites or in the classroom provided author acknowledgement is given (e.g. leave copyright statement on the image). Commercial uses should contact the copyright holder. The cartoon was also published under the title "A visual comparison of normal and paranormal distributions" in the Journal of Epidemiology and Community Health (2006) 60(1):6
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  • This anecdote about luck and the horseshoe is found in "Bartlett's Book of Anecdotes" (2000: page 68).
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  • A cartoon to teach the idea that the mean of a distribution is found by integrating xf(x).
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  • ..the goal is to transform data into information, and information into insight is a quote by American businesswoman Carly Fiorina (1954 - ). The quote was from a December 6, 2004 speech to the Oracle OpenWorld meeting in San Francisco while she was the CEO of Hewlett Packard.
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