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Probability

  • A pun to aid in discussing Stirling's approximation.  The joke was written by Larry Lesser from The University of Texas at El Paso in January 2018.

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  • A joke to be used in describing how a marginal density is computed from a joint density.  The joke was written in 2017 by Larry Lesser (The University of Texas at El Paso) and Dennis Pearl (Penn State University).

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  • A song to be used in discussing the value of random selection in sampling and random assignment in experimentation. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 2014 hit “All About that Bass,” by Meghan Trainor. Also, an accompanying video may be found at https://www.youtube.com/watch?v=br-5FtoYfkc

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  • A song to be used in discussing the idea that the probability of at least one can be calculated at 1 minus the probability of none (i.e. the result of one of DeMorgan’s Laws) The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of Sheryl Crow’s 1994 hit song “All I Wanna Do.” Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=S0IzpxRRUME

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  • A song that can be used in discussing the convergence of the sample proportion to the true probability as the number of independent trials grows larger. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 1967 song “Bare Necessities,” written by Terry Gilkyson for the animated Disney film The Jungle Book. Also, an accompanying video may be found at https://www.youtube.com/watch?v=mBWKGEpQ2tk

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  • A song that may be used in discussing the concept of independence as P(A) = P(A|B). The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the folk Ballad Oh My Darlin’, Clementine assumed to have been written by Percy Montrose in 1884. Also, an accompanying video may be found at https://www.youtube.com/watch?v=7Li7VBGOc5Q

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  • A song that may be used in discussing the central limit theorem for the sampling distribution of means.  The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the classic Christmas song "Jingle Bell Rock" written by Joseph Beal and James Boothe in 1942.  Also, an accompanying video may be found at https://www.youtube.com/watch?v=Mjy0AbJ5rJw

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  • A short story that might be used in an out of class assignment to explore life tables and the expected value of an annuity. The story was written by Steve Mathys from One America Companies. The story won second place in the Society of Actuaries 7th annual Speculative Fiction Contest in 2007.
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  • A short story that might be used in an out-of-class assignment to understand lifetime distributions. The story was written by Ben Marshall of FaithLife Financial in Waterloo Ontario, Canada. The story took first place in the 2007 Society of Actuaries 7th annual Speculative Fiction Contest.
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  • A short story that can be used in an out-of-class assignment in association with the study of probability rules, Bayes Theorem and expectations as they relate to games of chance. The story was written by Canadian Mathematician Robert Dawson from Saint Mary's University in Halifax, Nova Scotia and appeared in the Journal of Humanistic Mathematics (volume 7, issue 1, January 2017).
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