Evaluation of mean and variance integrals without integration |
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Authors: | A. H. Joarder |
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Affiliation: | 1. King Fahd University of Petroleum?&2. Minerals , Dhahran, Saudi Arabia |
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Abstract: | The mean and variance of some continuous distributions, in particular the exponentially decreasing probability distribution and the normal distribution, are considered. Since they involve integration by parts, many students do not feel comfortable. In this note, a technique is demonstrated for deriving mean and variance through differential calculus. The general nature of the technique has potential for wider applications. |
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Keywords: | series multisection binomial coefficients polygonal numbers |
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