Probability

  • This simulation involves a series of balls passing through bins to eventually yield a normal distribution. Information is also provided about what the normal distribution is.

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  • Probability plotter and calculator allows students to explore different distributions and their relationships. Interactive dialogue box allows students to change distribution shape and scaling parameters as well as allowing to explore cumulative probabilities. Discrete distributions include the discrete uniform, binomial, and the poisson. Continuous distributions include the uniform, beta, exponential, weibull, gamma, and lognormal distributions. Sampling distributions include the normal, the t-distribution, the chi-square, and the F-distribution.
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  • Amidst the strange vicissitudes of life, 'tis likely, most unlikely things should happen is a quote by Greek poet Agathon (448-400 BC). The quote is mentioned in Aristotle's (384 - 322 BC) book "Rhetoric". This version of the quote is found on page 357 of the 1823 "A New Translation of Aristotle's Rhetoric" by John Gillies.
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  • In this video (which lasts a little over 21 minutes), Oxford mathematician Peter Donnelly reveals the common mistakes humans make in interpreting statistics -- and the devastating impact these errors can have on the outcome of criminal trials.
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  • In this short 3 minute video, mathematician and magician Arthur Benjamin offers a bold proposal on how to make math education relevant in the digital age.

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  • In this 20 minute video, doctor and researcher Hans Rosling uses his fascinating data-bubble software to burst myths about the developing world. The video includes new analysis on China and the post-bailout world, mixed with classic data shows.

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  • March 23, 2010 Activity webinar presented by John Gabrosek & Paul Stephenson, Grand Valley State University and hosted by Leigh Slauson, Capital University. GOLO is a dice-based golf game that simulates playing a round of golf. GOLO can be used to illustrate basic probability concepts, descriptive summaries for data, discrete probability distributions, order statistics, and game theory. Participants had a chance to play the online version of GOLO.
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  • A sketch by Anastasia Mandel reinterpreting "Sunset, Eagle Cliff, New Hampshire" by Jasper Francis Cropsey (1867) with the statistical caption "Regression tree, still standing after the trials." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
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  • A song parody by Steve Sodergren (a.k.a. Al G Bra: see www.reverbnation.com/algbra) that may be sung to the tune of "With or Without You" by U2. Can be used to stimulate conversation about confidence intervals and the typical use of 95% confidence in the media when it is not otherwise reported (i.e. being within plus or minus two standard deviations for intervals based on a normal sampling distribution). This song appears on Al G Bra's "Hotel Califormula" CD.
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  • A sketch by Anastasia Mandel reinterpreting "Red Square: Painterly Realism of a Peasant Woman in Two Dimensions" by Kazimir Severinovich Malevich (1915) with the statistical caption "R^2, or it might be a Russian square, used when there is a shortage of the Latin ones." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
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