SOLVING PRACTICAL PROBLEMS USING THE BERNOULLI SCHEME AND LIMIT THEOREMS FOR SEQUENCES OF INDEPENDENT TRIALS
DOI:
https://doi.org/10.55640/Keywords:
Bernoulli scheme, independent trials, probability theory, limit theorems, local Moivre-Laplace theorem, integral Moivre-Laplace theorem, Poisson's theorem, Bernoulli's formula, asymptotic approximations, problem solving.Abstract
In this article, we consider methods for solving practical problems related to calculating probabilities in a Bernoulli scheme of sequential independent trials. Particular attention is given to situations in which the direct application of Bernoulli's formula is difficult due to the large number of trials. The paper analyzes the conditions and demonstrates examples of using the Moivre-Laplace limit theorems (local and integral) and Poisson's theorem to obtain approximate probability values.
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