{"id":229,"date":"2023-08-03T21:24:33","date_gmt":"2023-08-03T21:24:33","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a-1\/"},"modified":"2023-08-03T21:24:33","modified_gmt":"2023-08-03T21:24:33","slug":"%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a-1\/","title":{"rendered":"\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a. \u0648\u0644\u0630\u0644\u0643 \u0633\u062a\u062c\u062f \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0648\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0648\u062e\u0635\u0627\u0626\u0635 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0643 \u062d\u0633\u0627\u0628 \u0623\u064a \u0627\u062d\u062a\u0645\u0627\u0644 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0639\u0628\u0631 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-geometrica\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<\/strong> \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u064a\u062d\u062f\u062f \u0639\u062f\u062f \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0623\u0648\u0644 \u0646\u062a\u064a\u062c\u0629 \u0646\u0627\u062c\u062d\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u064a \u0623\u0646 \u0639\u0645\u0644\u064a\u0627\u062a \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u064a\u062a\u0645 \u0641\u064a\u0647\u0627 \u062a\u0643\u0631\u0627\u0631 \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u062d\u062a\u0649 \u064a\u062d\u0635\u0644 \u0623\u062d\u062f\u0647\u0627 \u0639\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u0625\u064a\u062c\u0627\u0628\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 \u0628\u0631\u0646\u0648\u0644\u064a \u0647\u0648 \u062a\u062c\u0631\u0628\u0629 \u0644\u0647\u0627 \u0646\u062a\u064a\u062c\u062a\u0627\u0646 \u0645\u062d\u062a\u0645\u0644\u062a\u0627\u0646: &#8220;\u0627\u0644\u0646\u062c\u0627\u062d&#8221; \u0648&#8221;\u0627\u0644\u0641\u0634\u0644&#8221;. \u0644\u0630\u0627\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 &#8220;\u0627\u0644\u0646\u062c\u0627\u062d&#8221; \u0647\u0648 <em>p<\/em> \u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 &#8220;\u0627\u0644\u0641\u0634\u0644&#8221; \u0647\u0648 <em>q=1-p<\/em> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>p<\/em> \u060c \u0648\u0647\u064a \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0646\u062c\u0627\u062d \u062c\u0645\u064a\u0639 \u0627\u0644\u062a\u062c\u0627\u0631\u0628 \u0627\u0644\u062a\u064a \u062a\u0645 \u0625\u062c\u0631\u0627\u0624\u0647\u0627. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 <em>p<\/em> \u0647\u0648 \u0646\u0641\u0633\u0647 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u062a\u062c\u0627\u0631\u0628.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-22fef9b6ab8e3b351598caf9925c2b3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Geom\\'etrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0639\u0644\u0649 \u0623\u0646\u0647 \u0639\u062f\u062f \u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0641\u0634\u0644 \u0642\u0628\u0644 \u0627\u0644\u0646\u062c\u0627\u062d \u0627\u0644\u0623\u0648\u0644. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0623\u062e\u0630 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0642\u064a\u0645\u0629 <em>x=0<\/em> \u0648\u062a\u062e\u062a\u0644\u0641 \u0635\u064a\u063a\u062a\u0647 \u0642\u0644\u064a\u0644\u0627\u064b. \u0644\u0643\u0646 \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u064a\u0648\u0639\u0627\u064b \u0647\u0648 \u0627\u0644\u0639\u0648\u062f\u0629 \u0625\u0644\u0649 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0627\u0644\u0645\u0648\u0636\u062d \u0641\u064a \u0628\u062f\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-distribucion-geometrica\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0631\u0623\u064a\u0646\u0627 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c \u064a\u0639\u0631\u0636 \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0644\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062a\u0628\u0639 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong><u style=\"text-decoration-color:#FF8A05\">\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a:<\/u><\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0639\u062f\u062f \u0631\u0645\u064a\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0625\u062c\u0631\u0627\u0624\u0647\u0627 \u062d\u062a\u0649 \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0631\u0624\u0648\u0633.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0639\u062f\u062f \u0627\u0644\u0633\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645\u0631 \u0639\u0644\u0649 \u0627\u0644\u0637\u0631\u064a\u0642 \u062d\u062a\u0649 \u062a\u0631\u0649 \u0633\u064a\u0627\u0631\u0629 \u062d\u0645\u0631\u0627\u0621.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0639\u062f\u062f \u0627\u0644\u0645\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u062c\u0628 \u0639\u0644\u0649 \u0627\u0644\u0634\u062e\u0635 \u0623\u062f\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0642\u064a\u0627\u062f\u0629 \u062d\u062a\u0649 \u064a\u062c\u062a\u0627\u0632\u0647.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0639\u062f\u062f \u0644\u0641\u0627\u062a \u0627\u0644\u0646\u0631\u062f \u0627\u0644\u062a\u064a \u062a\u0645 \u0631\u0645\u064a\u0647\u0627 \u062d\u062a\u0649 \u064a\u062a\u0645 \u0631\u0645\u064a \u0627\u0644\u0631\u0642\u0645 6.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0639\u062f\u062f \u0627\u0644\u0631\u0645\u064a\u0627\u062a \u0627\u0644\u062d\u0631\u0629 \u0627\u0644\u062a\u064a \u064a\u062c\u0628 \u062a\u0646\u0641\u064a\u0630\u0647\u0627 \u062d\u062a\u0649 \u064a\u062a\u0645 \u062a\u0633\u062c\u064a\u0644 \u0627\u0644\u0647\u062f\u0641.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-geometrica\"><\/span> \u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0625\u062c\u0631\u0627\u0621 \u062a\u062c\u0627\u0631\u0628 <em>x<\/em> \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u0625\u064a\u062c\u0627\u0628\u064a\u0629 \u0647\u0648 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>p<\/em> \u0645\u0631\u0627\u062a <em>(1-p)<\/em> \u0623\u0633 <em>x-1<\/em> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 <strong>\u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<\/strong> \u0647\u064a: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/formule-de-distribution-geometrique.png\" alt=\"\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\" class=\"wp-image-4723\" width=\"272\" height=\"272\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0623\u062f\u0646\u0627\u0647 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062c\u0648\u062f \u0645\u062a\u063a\u064a\u0631 \u064a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a.<\/u><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u064a \u062a\u062a\u064a\u062d \u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-88686ff4544e13c6431c27b3fc07076c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-(1-p)^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-geometrica\"><\/span> \u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0631\u0642\u0645 5 \u0639\u0646\u062f \u0631\u0645\u064a\u0629 \u0627\u0644\u0646\u0631\u062f \u0627\u0644\u062b\u0627\u0644\u062b\u0629\u061f<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0647\u0646\u062f\u0633\u064a\u060c \u0644\u0623\u0646\u0647 \u064a\u062d\u062f\u062f \u0639\u062f\u062f \u0627\u0644\u0631\u0645\u064a\u0627\u062a \u0627\u0644\u0644\u0627\u0632\u0645\u0629 (\u062b\u0644\u0627\u062b) \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u0646\u0627\u062c\u062d\u0629 (\u0627\u0644\u0631\u0642\u0645 5).<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u0627\u064b \u0623\u0646 \u0646\u062d\u0633\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0646\u062c\u0627\u062d \u0643\u0644 \u0639\u0645\u0644\u064a\u0629 \u0625\u0637\u0644\u0627\u0642. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0647\u0646\u0627\u0643 \u0646\u062a\u064a\u062c\u0629 \u0625\u064a\u062c\u0627\u0628\u064a\u0629 \u0648\u0627\u062d\u062f\u0629 \u0641\u0642\u0637 \u0645\u0646 \u0623\u0635\u0644 \u0633\u062a\u0629 \u0646\u062a\u0627\u0626\u062c \u0645\u062d\u062a\u0645\u0644\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 <em>p<\/em> \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d3edc23a0939657deeeed11600ba29be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{6}=0,1667\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"121\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0630\u064a \u064a\u0637\u0644\u0628\u0647 \u0645\u0646\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ceea593841fd847270f92b3ffa919d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle P[X=x]&amp;=(1-p)^{x-1}\\cdot p\\\\[2ex]\\displaystyle P[X=3]&amp;=\\left(1-\\frac{1}{6}\\right)^{3-1}\\cdot \\frac{1}{6}\\\\[2ex]\\displaystyle P[X=3]&amp;=0,1157\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"132\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-geometrica\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u064a\u0644\u0628\u064a \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u0647 \u0645\u0639\u0627\u0645\u0644 \u0645\u0645\u064a\u0632\u060c <em>p<\/em> \u060c \u0648\u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0646\u062c\u0627\u062d \u0643\u0644 \u062a\u062c\u0631\u0628\u0629 \u0645\u0646 \u0627\u0644\u062a\u062c\u0627\u0631\u0628 \u0627\u0644\u062a\u064a \u062a\u0645 \u062a\u0646\u0641\u064a\u0630\u0647\u0627.<\/li>\n<\/ul>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{array}{c} of each experiment carried out.&lt;\/li&gt;&lt;\/ul&gt;[latex]E[X]=\\cfrac{1}{p}\n\n*** Error message:\nMissing $ inserted.\nleading text: \\begin{array}{c}\nPlease use \\mathaccent for accents in math mode.\nleading text: ...0 &lt;ul&gt;&lt;li&gt; The mean of the general distribution\nPlease use \\mathaccent for accents in math mode.\nleading text: ...&gt;&lt;li&gt; The mean of the geometric distribution\nPlease use \\mathaccent for accents in math mode.\nleading text: ...ne of the geometric distribution is\nPlease use \\mathaccent for accents in math mode.\nleading text: ...the geometric distribution is equal to\nPlease use \\mathaccent for accents in math mode.\nleading text: ...geometric tion is equal to one divided\nPlease use \\mathaccent for accents in math mode.\nleading text: ...st equals one divided by probability\nPlease use \\mathaccent for accents in math mode.\n\n<\/pre>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0646 \u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u064a\u0639\u0627\u062f\u0644 \u0641\u0631\u0642 1 \u0646\u0627\u0642\u0635 <em>p<\/em> \u0639\u0644\u0649 \u0645\u0631\u0628\u0639 <em>p<\/em> .<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-78ed5ca4793c0b8e221669de3e49337f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{1-p}{p^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"128\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u0645\u0627\u0639\u064a\u0629 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0647\u064a:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-aa3e4c205823e02ce285a5987b818985_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=(1-p)^{x-1}\\cdot p\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0647\u064a:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-88686ff4544e13c6431c27b3fc07076c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-(1-p)^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0647\u0648 \u062d\u0627\u0644\u0629 \u062e\u0627\u0635\u0629 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0627\u0644\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646. \u0628\u062a\u0639\u0628\u064a\u0631 \u0623\u062f\u0642\u060c \u0647\u0630\u0627 \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>r=1<\/em> . <\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7dbe3c9fff9b5b54e71dcc2632b2e177_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{BN}(1,p) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ X\\sim\\text{Geom\\'etrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"390\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u062a\u0648\u0632\u064a\u0639-\u0633\u0644\u0628\u064a-1-\u0630\u0648-\u0627\u0644\u062d\u062f\u064a\u0646\/\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0630\u0648-\u0627\u0644\u062d\u062f\u064a\u0646-1\/\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646<\/a> <\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-geometrica\"><\/span> \u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062f\u062e\u0644 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>p<\/em> \u0648\u0642\u064a\u0645\u0629 <em>x<\/em> \u0641\u064a \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644. \u062a\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u064a\u062f \u062d\u0633\u0627\u0628\u0647\u0627 \u0648\u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0642\u0637\u0629 \u0643\u0641\u0627\u0635\u0644 \u0639\u0634\u0631\u064a\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 0.1667.<\/p>\n<form action=\"\" method=\"post\" style=\";text-align:right;direction:rtl\">\n<div style=\"margin-bottom:20px; margin-left:5%;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> \u0645\u0639\u0644\u0645\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e67f693705a2e492d8981f0ed1387c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p = \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span> <input name=\"prob\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce la probabilidad de \u00e9xito de cada experimento aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:5%;text-align:right;direction:rtl\"> <span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0633\u0627\u0628: <\/div>\n<div style=\"margin-bottom:14px; margin-left:10%;text-align:right;direction:rtl\"><input name=\"tipoprobabilidad\" type=\"radio\" checked=\"\" value=\"probigual\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-95a78799e4906daa08ea620a942c61bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X=\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p><input name=\"xigual\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%;text-align:right;direction:rtl\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcolaizquierda\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-305e8313d9decdf3d650c7f6898a8430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\leq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmenor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%;text-align:right;direction:rtl\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcoladerecha\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a8500b9856a735bc31ea1a371fc0fe88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\geq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmayor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%;text-align:right;direction:rtl\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probentre\"><input name=\"xentre1\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" 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