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Broca, D. S. – International Journal of Mathematical Education in Science and Technology, 2008
This note presents an alternative approach to the reasoning process and derivation of the hypergeometric probability mass function (pmf), and contrasts it with a binomial model. It utilizes the essential concept of sampling without replacement directly in the development of the mass function.
Descriptors: Probability, Logical Thinking, Mathematical Logic, Geometry
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Broca, D. S. – International Journal of Mathematical Education in Science & Technology, 2006
A simple, direct condition is formulated for determining the mode(s) of a probability mass function. This condition is then applied to the Poisson and hypergeometric mass functions.
Descriptors: Probability, Geometry, Statistical Distributions, Equations (Mathematics)