{"id":213,"date":"2023-08-04T02:39:23","date_gmt":"2023-08-04T02:39:23","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a8%d9%8a%d8%aa%d8%a7\/"},"modified":"2023-08-04T02:39:23","modified_gmt":"2023-08-04T02:39:23","slug":"%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a8%d9%8a%d8%aa%d8%a7","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a8%d9%8a%d8%aa%d8%a7\/","title":{"rendered":"\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627"},"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\u062a\u062c\u0631\u064a\u0628\u064a \u0648\u0645\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0645\u0646 \u0623\u062c\u0644\u0647. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\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. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-beta\"><\/span> \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0628\u064a\u062a\u0627\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627<\/strong> \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0645\u062d\u062f\u062f \u0639\u0644\u0649 \u0627\u0644\u0641\u0627\u0635\u0644 \u0627\u0644\u0632\u0645\u0646\u064a (0\u060c1) \u0648\u0645\u062d\u062f\u062f \u0628\u0645\u0639\u0644\u0645\u062a\u064a\u0646 \u0645\u0648\u062c\u0628\u062a\u064a\u0646: \u03b1 \u0648 \u03b2. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u062a\u0639\u062a\u0645\u062f \u0642\u064a\u0645 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u062a\u064a\u0646 \u03b1 \u0648 \u03b2.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u064a\u0632\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0647\u064a \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u062d\u0643\u0645 \u0641\u064a \u0634\u0643\u0644\u0647 \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u03b1 \u0648 \u03b2. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062a\u0631\u0627\u0648\u062d \u0642\u064a\u0645\u062a\u0647\u0627 \u0628\u064a\u0646 0 \u06481.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u0639\u062f\u0629 \u0631\u0645\u0648\u0632 \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0623\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0627\u0644\u0645\u0633\u062a\u0645\u0631 \u0645\u062d\u0643\u0648\u0645 \u0628\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627\u060c \u0648\u0623\u0643\u062b\u0631\u0647\u0627 \u0634\u064a\u0648\u0639\u064b\u0627 \u0647\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-ee1d0d8a1624a017b8ef9ce8a67c694e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim B(\\alpha,\\beta)\\\\[2ex]X\\sim Beta(\\alpha,\\beta)\\\\[2ex]X\\sim \\beta_{\\alpha,\\beta}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"121\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a\u060c \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0644\u0647 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0645\u062a\u0646\u0648\u0639\u0629 \u062c\u062f\u064b\u0627. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0644\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0641\u064a \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0641\u064a \u0639\u064a\u0646\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0641\u064a \u0625\u062f\u0627\u0631\u0629 \u0627\u0644\u0645\u0634\u0627\u0631\u064a\u0639\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0644\u0625\u062c\u0631\u0627\u0621 \u062a\u062d\u0644\u064a\u0644 \u0628\u064a\u0631\u062a. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-beta\"><\/span> \u0645\u0624\u0627\u0645\u0631\u0629 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u062a\u0639\u0631\u064a\u0641 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627\u060c \u064a\u062a\u0645 \u0631\u0633\u0645 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0648\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0623\u062f\u0646\u0627\u0647.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0623\u062f\u0646\u0627\u0647 \u0631\u0624\u064a\u0629 \u0643\u064a\u0641 \u064a\u062e\u062a\u0644\u0641 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u03b1 \u0648\u03b2. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-graphique-beta.png\" alt=\"\u0645\u062e\u0637\u0637 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627\" class=\"wp-image-4315\" width=\"621\" height=\"372\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u064a\u0645\u0643\u0646\u0643 \u0623\u062f\u0646\u0627\u0647 \u0631\u0624\u064a\u0629 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0644\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u03b1 \u0648\u03b2. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-beta-cumulative.png\" alt=\"\u0645\u062e\u0637\u0637 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a\" class=\"wp-image-4316\" width=\"621\" height=\"373\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-beta\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0631\u0649 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u0645\u0627 \u0647\u064a \u0623\u0647\u0645 \u062e\u0635\u0627\u0626\u0635 \u062a\u0648\u0632\u064a\u0639\u0629 \u0627\u0644\u0628\u064a\u062a\u0627.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u03b1 \u0648 \u03b2 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0647\u064a \u0623\u0631\u0642\u0627\u0645 \u062d\u0642\u064a\u0642\u064a\u0629 \u0648\u0625\u064a\u062c\u0627\u0628\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-442bebaba847543d6db71cdf0127a4b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\alpha >0\\\\[2ex] \\beta >0\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;54&#8243; width=&#8221;44&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0646\u0637\u0627\u0642 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u064a\u062a\u0631\u0627\u0648\u062d \u0645\u0646 0 \u0625\u0644\u0649 1\u060c \u0648\u0644\u0645 \u064a\u062a\u0645 \u062a\u0636\u0645\u064a\u0646 \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0623\u0642\u0635\u0649\u064a\u0646.<\/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-60f8667881e2c5a08eae2db3c3e04708_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in (0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0645\u062a\u0648\u0633\u0637 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u064a\u0633\u0627\u0648\u064a \u0623\u0644\u0641\u0627 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 \u0623\u0644\u0641\u0627 \u0632\u0627\u0626\u062f \u0628\u064a\u062a\u0627.<\/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-4530a8b72211111e8bec79b6388e00a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim B(\\alpha,\\beta)\\\\[2ex] E[X]=\\cfrac{\\alpha}{\\alpha+\\beta}\\end{array} \" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"111\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u062a\u0628\u0627\u064a\u0646 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \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-71c6ef40db833722e63c56cd763d6601_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim B(\\alpha,\\beta)\\\\[2ex] Var(X)=\\cfrac{\\alpha\\cdot \\beta}{(\\alpha+\\beta+1)\\cdot (\\alpha+\\beta)^2}\\end{array} \" title=\"Rendered by QuickLaTeX.com\" height=\"82\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0642\u064a\u0645 \u0623\u0644\u0641\u0627 \u0648\u0628\u064a\u062a\u0627 \u0627\u0644\u0623\u0643\u0628\u0631 \u0645\u0646 1\u060c \u064a\u0645\u0643\u0646 \u0627\u0644\u0639\u062b\u0648\u0631 \u0628\u0633\u0647\u0648\u0644\u0629 \u0639\u0644\u0649 \u0648\u0636\u0639 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \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-472cafc0cf9d1cf782206ddc7c9475d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=\\cfrac{\\alpha-1}{\\alpha+\\beta-2}\\qquad \\alpha,\\beta>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;42&#8243; width=&#8221;225&#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\u062b\u0627\u0641\u0629 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \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-48f1f2a13df23d7c779bc37da4b49368_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac{x^{\\alpha-1}(1-x)^{\\beta-1}}{B(\\alpha,\\beta)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"218\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u064a\u062b B(\u03b1,\u03b2) \u0647\u064a \u062f\u0627\u0644\u0629 \u0628\u064a\u062a\u0627\u060c \u0648\u0627\u0644\u062a\u064a \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\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-f4eb1d2659d9993f9d05a35cce63fc14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B(\\alpha,\\beta)=\\int_0^1x^{\\alpha-1}(1-x)^{\\beta-1}dx\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"248\" style=\"vertical-align: -16px;\"><\/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\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a\u0629 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \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-031b21ea3e2964d3ac4e6f222356d55b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\frac{B(x;\\alpha,\\beta)}{B(\\alpha,\\beta)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"176\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u064a\u062b B(x;\u03b1,\u03b2) \u0647\u064a \u062f\u0627\u0644\u0629 \u0628\u064a\u062a\u0627 \u063a\u064a\u0631 \u0627\u0644\u0645\u0643\u062a\u0645\u0644\u0629\u060c \u0648\u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\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-6c64764f48f86e8f97df5ed1e8d7fbe6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B(x;\\,a,b) = \\int_0^x t^{a-1}\\,(1-t)^{b-1}\\,dt\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"255\" 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 X \u0645\u062a\u063a\u064a\u0631\u064b\u0627 \u0645\u062d\u062f\u062f\u064b\u0627 \u0628\u0648\u0627\u0633\u0637\u0629 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627\u060c \u0641\u0625\u0646 1-X \u0647\u0648 \u0645\u062a\u063a\u064a\u0631 \u0645\u0639\u0631\u0641 \u0628\u0648\u0627\u0633\u0637\u0629 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0627\u0644\u0630\u064a \u062a\u0643\u0648\u0646 \u0645\u0639\u0644\u0645\u0627\u062a \u0623\u0644\u0641\u0627 \u0648\u0628\u064a\u062a\u0627 \u0647\u064a \u0645\u0639\u0644\u0645\u0627\u062a \u0628\u064a\u062a\u0627 \u0648\u0623\u0644\u0641\u0627 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0627\u0644\u0623\u0635\u0644\u064a\u060c \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\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-c65dd399bb92ffe982784a6c1b6e5b0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim B(\\alpha,\\beta) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ 1-X\\sim B(\\beta,\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"361\" style=\"vertical-align: -5px;\"><\/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 \u0645\u0639\u0644\u0645\u0627\u062a \u0623\u0644\u0641\u0627 \u0648\u0628\u064a\u062a\u0627 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u062a\u0633\u0627\u0648\u064a 1\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0648\u062d\u062f \u0644\u0644\u0645\u0639\u0644\u0645\u062a\u064a\u0646 0 \u06481.<\/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-10010ad6c6959b44a8ae0fe4361b4034_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim B(1,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ X\\sim U(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"321\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\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\u062a\u062c\u0631\u064a\u0628\u064a \u0648\u0645\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0645\u0646 \u0623\u062c\u0644\u0647. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\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. \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0628\u064a\u062a\u0627\u061f \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0645\u062d\u062f\u062f \u0639\u0644\u0649 \u0627\u0644\u0641\u0627\u0635\u0644 \u0627\u0644\u0632\u0645\u0646\u064a (0\u060c1) \u0648\u0645\u062d\u062f\u062f \u0628\u0645\u0639\u0644\u0645\u062a\u064a\u0646 \u0645\u0648\u062c\u0628\u062a\u064a\u0646: \u03b1 \u0648 \u03b2. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u062a\u0639\u062a\u0645\u062f \u0642\u064a\u0645 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u062a\u064a\u0646 \u03b1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 - \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a<\/title>\n<meta name=\"description\" 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\/>\n<meta property=\"og:title\" content=\"\u25b7 \u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 - \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a\" \/>\n<meta property=\"og:description\" content=\"\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\u062a\u062c\u0631\u064a\u0628\u064a \u0648\u0645\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0645\u0646 \u0623\u062c\u0644\u0647. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u064a\u062a\u0627 \u0648\u062e\u0635\u0627\u0626\u0635\u0647 \u2705\" \/>\n<meta property=\"og:url\" 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