Abstract
\nThis article discusses the probability of the binomial distribution. Many problems of this topic lead students to solve them in one way. However, a deep study of this topic from various sources leads to solving them using the following formulas. All these situations are united by a common approach to content, but have different approximation methods. These basic methods not only simplify complex probability problems, but also improve understanding for both students and researchers. Step-by-step examples illustrate the transition from the binomial to the Poisson distribution, as well as the application of the Moivre-Laplace theorem, providing clarity and ease of understanding. The purpose of this article is to illuminate these important concepts in a way that is accessible and interesting to all readers. In our days when AI can solve any problems this article will be useful, because it gives a look at these problems from above. And this approach will allow those who wants to understand such problems and systematize their solutions.
\n", "publication_date": "2025-02-28", "publisher": "Journal of science. Lyon", "resource_type": { "id": "publication-article", "title": { "de": "Zeitschriftenartikel", "en": "Journal article" } }, "rights": [ { "description": { "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited." }, "icon": "cc-by-icon", "id": "cc-by-4.0", "props": { "scheme": "spdx", "url": "https://creativecommons.org/licenses/by/4.0/legalcode" }, "title": { "en": "Creative Commons Attribution 4.0 International" } } ], "subjects": [ { "subject": "Bernoulli distribution, Binomial distribution, Poisson distribution, Poisson processes, Moivre-Laplace approximation" } ], "title": "ALGORITHM FOR SOLVING BINOMIAL DISTRIBUTION PROBLEMS" }, "parent": { "access": { "owned_by": { "user": "359715" }, "settings": { "accept_conditions_text": null, "allow_guest_requests": false, "allow_user_requests": false, "secret_link_expiration": 0 } }, "communities": { "default": "198af0a3-6af9-425f-8708-436b99b9f6d4", "entries": [ { "access": { "member_policy": "open", "members_visibility": "public", "record_submission_policy": "open", "review_policy": "open", "visibility": "public" }, "children": { "allow": false }, "created": "2022-06-09T12:28:52.098200+00:00", "custom_fields": {}, "deletion_status": { "is_deleted": false, "status": "P" }, "id": "198af0a3-6af9-425f-8708-436b99b9f6d4", "links": {}, "metadata": { "curation_policy": "", "page": "
The journal “Journal of science. Lyon” was founded in 2019, to promote scientific work in the world community and increase the scientific value of each article published in the journal.
\r\n\r\nThe procedure for the publication of materials:
\r\n\r\nThe journal “Journal of science. Lyon” was founded in 2019, to promote scientific work in the world community and increase the scientific value of each article published in the journal.
\r\n\r\nThe procedure for the publication of materials:
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