This limerick was written April 2021 by Larry Lesser of The University of Texas at El Paso to be used as a vehicle for discussing probabilities and expected values involved in playing a typical pari-mutuel lottery. The limerick was also published in the June 2021 issue of AmStat News.
A limerick to teach the addition rule for finding the probability of the union of disjoint (mutually exclusive) events. The limerick was written by Marion D. Cohen from Drexel University and published in the January 2021 (vol. 11, issue 1) Journal of Humanistic Mathematics.
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A rap about the basic rules of probability. The music and lyrics were written by Lawrence Mark Lesser of University of Texas at El Paso and won an honorable mention in the 2015 A-mu-sing contest. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).
This general, introductory tutorial on mathematical modeling (in pdf format) is intended to provide an introduction to the correct analysis of data. It addresses, in an elementary way, those ideas that are important to the effort of distinguishing information from error. This distinction constitutes the central theme of the material described herein. Both deterministic modeling (univariate regression) as well as the (stochastic) modeling of random variables are considered, with emphasis on the latter. No attempt is made to cover every topic of relevance. Instead, attention is focussed on elucidating and illustrating core concepts as they apply to empirical data.