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Griffiths, Martin – International Journal of Mathematical Education in Science and Technology, 2013
We consider here the problem of calculating the moments of binomial random variables. It is shown how formulae for both the raw and the central moments of such random variables may be obtained in a recursive manner utilizing Stirling numbers of the first kind. Suggestions are also provided as to how students might be encouraged to explore this…
Descriptors: Statistics, Statistical Distributions, Probability, Computation
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Lipovetsky, Stan – International Journal of Mathematical Education in Science and Technology, 2008
Benford's law of the "first digits" states that in spite of intuitively expected equal frequency of 1/9 of the decimal digits r = 1, ... , 9 appearance on the first place of any number, various empirical studies show another pattern of these frequencies distribution, which is log[subscript 10](1 + 1/r). The article considers this law and other…
Descriptors: Decision Making, Statistical Distributions, Mathematical Formulas, Matrices