Pi from Probability Approach
Keywords:
Combination, De Moivre-Laplace theorem, Mode, Pi, Probability density function, Probability mass function
Abstract
In this paper I introduced a new Probability mass function (Pmf) that is named as Pavan’s Pmf then used first and second raw moments of that distribution and De Moivre-Laplace theorem for large n later equated probability functions of binomial and normal distribution at model value to derive the formula for Pi.
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References
1. Athanasios Papoulis and S Unnikrishna Pillai. Probability, random variables, and stochastic processes. Tata Mc Graw-Hill Education Publishers, 4th edition, pages 7.12-7.13, ISBN 81-7014-791-3, 2002.
2. Gupta. SC and Kapoor VK. Fundamentals of mathematical statistics: A modern approach. Sultan Chand and Sons publishers India, 10th edition, pages 105, ISBN 0-07-112256-7,2000.
2. Gupta. SC and Kapoor VK. Fundamentals of mathematical statistics: A modern approach. Sultan Chand and Sons publishers India, 10th edition, pages 105, ISBN 0-07-112256-7,2000.
Published
2020-10-01
How to Cite
Thota, P. (2020). Pi from Probability Approach. Journal of Progressive Research in Mathematics, 16(4), 3195-3198. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1891
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