{"id":230,"date":"2023-08-03T20:59:59","date_gmt":"2023-08-03T20:59:59","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%b3%d9%84%d8%a8%d9%8a-1-%d8%b0%d9%88-%d8%a7%d9%84%d8%ad%d8%af%d9%8a%d9%86\/"},"modified":"2023-08-03T20:59:59","modified_gmt":"2023-08-03T20:59:59","slug":"%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%b3%d9%84%d8%a8%d9%8a-1-%d8%b0%d9%88-%d8%a7%d9%84%d8%ad%d8%af%d9%8a%d9%86","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%b3%d9%84%d8%a8%d9%8a-1-%d8%b0%d9%88-%d8%a7%d9%84%d8%ad%d8%af%d9%8a%d9%86\/","title":{"rendered":"\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646"},"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\u0633\u0627\u0644\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u0648\u0641\u064a\u0645 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647. \u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646\u060c \u0648\u0645\u062b\u0627\u0644\u064b\u0627 \u0645\u0644\u0645\u0648\u0633\u064b\u0627 \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. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u062d\u0633\u0627\u0628 \u0623\u064a \u0627\u062d\u062a\u0645\u0627\u0644 \u062a\u0648\u0632\u064a\u0639 \u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \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-binomial-negativa\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646\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\u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646<\/strong> \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u064a\u0635\u0641 \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 \u0639\u062f\u062f \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0625\u064a\u062c\u0627\u0628\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0647 \u0645\u0639\u0644\u0645\u062a\u0627\u0646 \u0645\u0645\u064a\u0632\u062a\u0627\u0646: <em>r<\/em> \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0646\u0627\u062c\u062d\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0648 <em>p<\/em> \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0646\u062c\u0627\u062d \u0644\u0643\u0644 \u062a\u062c\u0631\u0628\u0629 \u0628\u064a\u0631\u0646\u0648\u0644\u064a \u064a\u062a\u0645 \u0625\u062c\u0631\u0627\u0624\u0647\u0627.<\/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-171122de529a1c006bc46e8d89176016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{BN}(r,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u064a\u062d\u062f\u062f \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u062a\u0645 \u0641\u064a\u0647\u0627 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u062d\u0633\u0628 \u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 <em>\u0646\u062a\u0627\u0626\u062c<\/em> \u0625\u064a\u062c\u0627\u0628\u064a\u0629. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u062c\u0645\u064a\u0639 \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u0647\u0630\u0647 \u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0644\u0647\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062b\u0627\u0628\u062a\u0629 <em>\u0644\u0644\u0646\u062c\u0627\u062d<\/em> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0627\u0644\u0630\u064a \u064a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0627\u0644\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0645\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u062c\u0628 \u0641\u064a\u0647\u0627 \u0631\u0645\u064a \u062d\u062c\u0631 \u0627\u0644\u0646\u0631\u062f \u062d\u062a\u0649 \u064a\u062a\u0645 \u0631\u0645\u064a \u0627\u0644\u0631\u0642\u0645 6 \u062b\u0644\u0627\u062b \u0645\u0631\u0627\u062a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0627\u0644\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u0647\u0648 \u0623\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0627\u0644\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u064a\u062d\u0633\u0628 \u0639\u062f\u062f \u0627\u0644\u0645\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0633\u062a\u063a\u0631\u0642\u0647\u0627 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0639\u062f\u062f \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0646\u0627\u062c\u062d\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u064a\u062d\u0633\u0628 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u0639\u062f\u062f \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0646\u0627\u062c\u062d\u0629 \u0641\u064a \u0633\u0644\u0633\u0644\u0629 \u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0628\u0631\u0646\u0648\u0644\u064a. <\/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\/\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0630\u0648-\u0627\u0644\u062d\u062f\u064a\u0646-1\/\">\u0645\u0627 \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646\u061f<\/a> <\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-binomial-negativa\"><\/span> \u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0633\u0644\u0628\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a <em>r\u060c p\u060c x\u060c<\/em> \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0636\u0631\u0628 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u062a\u0648\u0627\u0641\u0642\u064a \u0644\u0640 <em>x-1<\/em> \u0641\u064a <em>xr<\/em> \u0628\u0648\u0627\u0633\u0637\u0629 <em>(1-p) <sup>xr<\/sup><\/em> \u0628\u0648\u0627\u0633\u0637\u0629 <em>p <sup>r<\/sup><\/em> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\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\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<\/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-binomiale-negative.png\" alt=\"\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0633\u0644\u0628\u064a\u0629\" class=\"wp-image-4813\" width=\"318\" height=\"319\" 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\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646.<\/u> <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-binomial-negativa\"><\/span> \u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0627\u0644\u0628 \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646<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 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646\u0643 \u0625\u0630\u0627 \u0631\u0645\u064a\u062a \u0642\u0637\u0639\u0629 \u0646\u0642\u0648\u062f \u062b\u0645\u0627\u0646\u064a \u0645\u0631\u0627\u062a\u060c \u0641\u0633\u0648\u0641 \u062a\u0638\u0647\u0631 \u0635\u0648\u0631\u0629 \u0644\u0644\u0645\u0631\u0629 \u0627\u0644\u0631\u0627\u0628\u0639\u0629 \u0641\u064a \u0627\u0644\u0631\u0645\u064a\u0629 \u0627\u0644\u062b\u0627\u0645\u0646\u0629\u061f<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0638\u0647\u0648\u0631 \u0627\u0644\u0635\u0648\u0631\u0629 \u0639\u0646\u062f \u0631\u0645\u064a \u0642\u0637\u0639\u0629 \u0646\u0642\u0648\u062f. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0644\u062f\u064a\u0646\u0627 \u0646\u062a\u064a\u062c\u0629 \u0625\u064a\u062c\u0627\u0628\u064a\u0629 \u0648\u0627\u062d\u062f\u0629 \u0641\u0642\u0637 (\u0627\u0644\u0631\u0624\u0648\u0633) \u0645\u0646 \u0623\u0635\u0644 \u0646\u062a\u064a\u062c\u062a\u064a\u0646 \u0645\u062d\u062a\u0645\u0644\u062a\u064a\u0646 (\u0627\u0644\u0631\u0624\u0648\u0633 \u0648\u0627\u0644\u0630\u064a\u0648\u0644)\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0646\u062c\u0627\u062d \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-bdceac6409b69d142f23801ec85e2691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u064a\u062a\u0628\u0639 \u062a\u0648\u0632\u064a\u0639\u064b\u0627 \u0633\u0644\u0628\u064a\u064b\u0627 \u0630\u0627 \u0627\u0644\u062d\u062f\u064a\u0646 \u062d\u064a\u062b r=4 \u0648p=0.5. \u0644\u0630\u0644\u0643\u060c \u0646\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0630\u064a \u064a\u0637\u0644\u0628 \u0645\u0646\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647. <\/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-bc56100604e5889a6d169c0395f19ebe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\begin{pmatrix}x-1\\\\ x-r\\end{pmatrix}\\cdot (1-p)^{x-r}\\cdot p^r\\\\[2ex]\\displaystyle P[X=8]&amp;=\\begin{pmatrix}8-1\\\\ 8-4\\end{pmatrix}\\cdot (1-0,5)^{8-4}\\cdot 0,5^4\\\\[2ex] P[X=8]&amp;=0,1367\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"316\" 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-binomial-negativa\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0623\u0647\u0645 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0628\u0645\u0639\u0644\u0645\u062a\u064a\u0646 \u0645\u0645\u064a\u0632\u062a\u064a\u0646: <em>r<\/em> \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0646\u0627\u062c\u062d\u0629 \u0627\u0644\u0645\u0631\u063a\u0648\u0628\u0629 \u0648 <em>p<\/em> \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0646\u062c\u0627\u062d \u0644\u0643\u0644 \u062a\u062c\u0631\u0628\u0629 \u0628\u064a\u0631\u0646\u0648\u0644\u064a \u064a\u062a\u0645 \u0625\u062c\u0631\u0627\u0624\u0647\u0627.<\/li>\n<\/ul>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{array}{c}r\\in \\mathbb{Z}^+ \\\\[2ex] 0 &lt;ul&gt;&lt;li&gt; The mean of the negative binomial distribution is equal to &lt;em&gt;r&lt;\/em&gt; multiplied by &lt;em&gt;(1-p)&lt;\/em&gt; and divided by &lt;em&gt;p&lt;\/em&gt; . Thus the formula which makes it possible to calculate the mean of a negative binomial distribution is the following: &lt;\/li&gt;&lt;\/ul&gt;[latex]E[X]=\\cfrac{r\\cdot (1-p)}{p}\n\n*** Error message:\nMissing $ inserted.\nleading text: \\begin{array}{c}\nPlease use \\mathaccent for accents in math mode.\nleading text: ...The mean of the binomial distribution born\nPlease use \\mathaccent for accents in math mode.\nleading text: ... the negative binomial distribution is\nPlease use \\mathaccent for accents in math mode.\nleading text: ...negative binomial distribution is equal to\nPlease use \\mathaccent for accents in math mode.\nleading text: ...gative is equal to &lt;em&gt;r&lt;\/em&gt; multiplied\nPlease use \\mathaccent for accents in math mode.\nleading text: ...m&gt; multiplied by &lt;em&gt;(1-p)&lt;\/em&gt; and divided\nPlease use \\mathaccent for accents in math mode.\nleading text: ...the mean of a binomial distribution born\n\\begin{array} on input line 8 ended by \\end{document}.\n\n<\/pre>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u0648 \u0627\u0644\u062d\u062f\u064a\u0646 \u064a\u0633\u0627\u0648\u064a <em>r<\/em> \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a <em>(1-p)<\/em> \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 <em>p <sup>2<\/sup><\/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-c82d66018d0715f20318f383cf7c04c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{r\\cdot (1-p)}{p^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"163\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>r<\/em> \u0623\u0643\u0628\u0631 \u0645\u0646 1\u060c \u0641\u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0646\u0645\u0637 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/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-600d3f94b3cd3927f264450bcd043a86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lfloor \\frac{(r-1)(1-p)}{p}\\rfloor\\quad \\text{para }r>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;42&#8243; width=&#8221;221&#8243; style=&#8221;vertical-align: -16px;&#8221;><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u062c\u0639\u0644 \u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\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-beafc8c08e7aad51059349dfd2addd5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=\\begin{pmatrix}x-1\\\\ x-r\\end{pmatrix}\\cdot (1-p)^{x-r}\\cdot p^r\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"284\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0628\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062a\u0627\u0644\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-9bc0a97cdf77d4dd439c71cf8637e53c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\frac{2-p}{\\sqrt{r\\,(1-p)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"122\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062a\u0641\u0631\u0637\u062d \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0633\u0644\u0628\u064a \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0628\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/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-510199601f8ac60aa64008f00d959562_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=\\frac{6}{r} + \\frac{p^2}{r\\,(1-p)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"139\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>r<\/em> \u062a\u0633\u0627\u0648\u064a 1\u060c \u0641\u0644\u062f\u064a\u0646\u0627 \u062d\u0627\u0644\u0629 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0647\u0646\u062f\u0633\u064a\/\">\u062a\u0648\u0632\u064a\u0639 \u0647\u0646\u062f\u0633\u064a<\/a> . <\/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-24bb5ef017a69a1a9de1e07f32412fcc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r=1 \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad X\\sim \\text{Geometrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"350\" 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=\"calculadora-de-la-distribucion-binomial-negativa\"><\/span> \u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0633\u0627\u0644\u0628\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062f\u062e\u0644 \u0642\u064a\u0645 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a <em>r\u060c p\u060c 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. \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \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 0.50.<\/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> \u0639\u062f\u062f \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0646\u0627\u062c\u062d\u0629 <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-2060a909f2905bcbe83f8fe9152c2284_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r = \" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"r\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el valor de r aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\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> \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0646\u062c\u0627\u062d \u0643\u0644 \u062a\u062c\u0631\u0628\u0629 <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 el valor de p aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\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> \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a \u0644\u0644\u062a\u062c\u0627\u0631\u0628 \u0627\u0644\u062a\u064a \u062a\u0645 \u062a\u0646\u0641\u064a\u0630\u0647\u0627 <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-04ae6e91e4423afa96cc9b717c007c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \" title=\"Rendered 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