The Generalized Die Binomial Experiment

Authors

  • Idorenyin Etukudo Department of Mathematics & Statistics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Akwa Ibom State, Nigeria
  • John Usen Department of Statistics, University of Calabar, Calabar, Cross River State, Nigeria

Keywords:

Binomial Experiment, Six-sided Die, Generalized Die.

Abstract

The theoretical idea of a six-sided die binomial experiment, in the theory of probability distributions is examined in this paper. This idea is extended and generalized in the postulate of an -sided die binomial experiment in which there are  finite possible outcomes of such die toss, for - trials with  equal probabilities  and  of success and failure, respectively, for each trial. Theoretical results of binomial distributions are extended and relationships with existing results are deduced. Potential applications abound in statistics, social sciences, engineering and physical sciences, pertaining to sampling and chance minimization.

References

[1] K. Amwer, I. A. Mohammed and A. L. Raheeq. “On confidence intervals for the negative binomial distribution”. Revista investigation operational, 26 (1), 2005.
[2] M. L. David. (2013). “Binomial distribution”. [On-line]. Available: www.onlinestatbook.com [Aug. 26, 2015].
[3] W. Sean. “Binomial confidence intervals and contingency tests: Mathematical fundamentals and the evaluation of alternative methods”. Journal of Qualitative Linguistics, 20(3), [3: 178-208], 2013.
[4] E. W. Weisstein. (2013). “Binomial distribution”. [On-line]. Available: http://mathworld.wolfram.com/BinomialDistribution.html [Jan. 23, 2015]
[5] X. S. Yi. “The binomial probability distribution and related topics”. USA: Harcourt publishing company, 2009.

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Published

2016-01-07

How to Cite

Etukudo, I., & Usen, J. (2016). The Generalized Die Binomial Experiment. American Scientific Research Journal for Engineering, Technology, and Sciences, 15(1), 160–166. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/1231

Issue

Vol. 15 No. 1 (2016): VOLUME 15, ISSUE 1: (January - 2016)

Section

Articles

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