{"id":107,"date":"2023-08-05T09:10:02","date_gmt":"2023-08-05T09:10:02","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9\/"},"modified":"2023-08-05T09:10:02","modified_gmt":"2023-08-05T09:10:02","slug":"%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9\/","title":{"rendered":"\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0634\u0631\u062d \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0647\u0627 \u0648\u0645\u062b\u0627\u0644 \u0648\u0627\u0642\u0639\u064a \u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0631\u0624\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-funcion-de-distribucion\"><\/span> \u0645\u0627 \u0647\u064a \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639<\/strong> \u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 <strong>\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a<\/strong> \u060c \u0647\u064a \u062f\u0627\u0644\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639. \u0623\u064a \u0623\u0646 \u0635\u0648\u0631\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0644\u0623\u064a \u0642\u064a\u0645\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0623\u062e\u0630 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u062a\u0644\u0643 \u0627\u0644\u0642\u064a\u0645\u0629 \u0623\u0648 \u0642\u064a\u0645\u0629 \u0623\u0642\u0644.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0625\u0644\u0649 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0628\u0627\u0644\u0627\u062e\u062a\u0635\u0627\u0631 FDA\u060c \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0631\u0645\u0632\u0647\u0627 \u0627\u0644\u0645\u0639\u062a\u0627\u062f \u0647\u0648 \u0627\u0644\u062d\u0631\u0641 \u0627\u0644\u0643\u0628\u064a\u0631 F.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/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-c8cf5efd36881f74974a11b10af2dd4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F(x)=P[X\\leq x]\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"133\" 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=\"como-calcular-la-funcion-de-distribucion\"><\/span> \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0634\u0631\u062d \u0628\u0639\u062f \u0630\u0644\u0643 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0645\u0646\u0641\u0635\u0644\u0627\u064b \u0623\u0645 \u0645\u0633\u062a\u0645\u0631\u064b\u0627.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"caso-discreto\"><\/span> \u0635\u0646\u062f\u0648\u0642 \u0633\u0631\u064a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0645\u0646\u0641\u0635\u0644\u0627\u064b\u060c \u0641\u0625\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u062a\u0633\u0627\u0648\u064a \u0645\u062c\u0645\u0648\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u062c\u0645\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0633\u0627\u0648\u064a \u0623\u0648 \u062a\u0642\u0644 \u0639\u0646 <em>x<\/em> .<\/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-c3b978075c7791d3379a8c170010eb2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle F(x)=P[X\\leq x]=\\sum_{u\\leq x}f(u)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"222\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\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-5875573ff1b51b9b17fc81a368fabc07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(u)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0641\u0635\u0644.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"caso-continuo\"><\/span> \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0627\u0644\u0642\u0636\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0645\u0633\u062a\u0645\u0631\u064b\u0627\u060c \u0641\u0625\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u062a\u0639\u0627\u062f\u0644 \u062a\u0643\u0627\u0645\u0644 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0645\u0646 \u0633\u0627\u0644\u0628 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0646\u064a\u0629.<\/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-36434a36d91add71ad209868965d6ccb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle F(x)=P[X\\leq x]=\\int_{-\\infty}^{x}f(u)du\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"250\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\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-5875573ff1b51b9b17fc81a368fabc07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(u)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0645\u0631. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-funcion-de-distribucion\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u062a\u0639\u0631\u064a\u0641 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0644\u0642\u064a \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0645\u062b\u0627\u0644 \u0639\u0645\u0644\u064a \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0644\u0644\u062a\u062c\u0631\u0628\u0629 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0627\u0644\u0645\u062a\u0645\u062b\u0644\u0629 \u0641\u064a \u0631\u0645\u064a \u0642\u0637\u0639\u0629 \u0646\u0642\u0648\u062f \u0623\u0631\u0628\u0639 \u0645\u0631\u0627\u062a.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0644 \u0627\u0644\u062a\u0645\u0631\u064a\u0646\u060c \u0639\u0644\u064a\u0643 \u0623\u0648\u0644\u0627\u064b \u062d\u0633\u0627\u0628 \u062c\u0645\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0639\u062f\u062f \u0627\u0644\u0635\u0648\u0631 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0623\u062b\u0646\u0627\u0621 \u0631\u0645\u064a \u0627\u0644\u0639\u0645\u0644\u0627\u062a \u0627\u0644\u0623\u0631\u0628\u0639\u0629: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/probabilite-lancer-quatre-pieces.png\" alt=\"\u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0645\u064a \u0623\u0631\u0628\u0639 \u0639\u0645\u0644\u0627\u062a \u0645\u0639\u062f\u0646\u064a\u0629\" class=\"wp-image-2346\" width=\"492\" height=\"331\" srcset=\"\" sizes=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646\u0647 \u0645\u062a\u063a\u064a\u0631 \u0645\u0646\u0641\u0635\u0644\u060c \u0644\u062a\u062d\u062f\u064a\u062f \u0635\u0648\u0631 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u060c \u064a\u0643\u0641\u064a \u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0625\u0644\u0649 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0639\u0646\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-63c3574be5cdcf6de8b54f910c01e35e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}F(X\\leq 0)=f(0)=0,0625\\\\[4ex]\\begin{aligned}F(X\\leq 1)&amp; =f(0)+f(1)\\\\[1.1ex] &amp; =0,0625+0,25=0,3125\\end{aligned}\\\\[6ex]\\begin{aligned}F(X\\leq 2)&amp; =f(0)+f(1)+f(2)\\\\[1.1ex] &amp; =0,0625+0,25+0,375=0,6875\\end{aligned}\\\\[6ex]\\begin{aligned}F(X\\leq 3)&amp; =f(0)+f(1)+f(2)+f(3)\\\\[1.1ex] &amp; =0,0625+0,25+0,375+0,25=0,9375\\end{aligned}\\\\[6ex]\\begin{aligned}F(X\\leq 4)&amp; =f(0)+f(1)+f(2)+f(3)+f(4)\\\\[1.1ex] &amp; =0,0625+0,25+0,375+0,25+0,0625=1\\end{aligned}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"363\" width=\"435\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0630\u0644\u0643 \u062a\u0643\u0648\u0646 \u0642\u064a\u0645 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0644\u062a\u0642\u0644\u064a\u0628 \u0627\u0644\u0631\u0623\u0633 \u0628\u0642\u0630\u0641 \u0623\u0631\u0628\u0639 \u0642\u0637\u0639 \u0646\u0642\u062f\u064a\u0629 \u0645\u0633\u062a\u0642\u0644\u0629 \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/probabilite-cumulative-lancer-quatre-pieces.png\" alt=\"\" class=\"wp-image-2362\" width=\"224\" height=\"331\" srcset=\"\" sizes=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-de-distribucion\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0646\u0648\u0639 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u060c \u0641\u0625\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u062a\u062a\u0645\u062a\u0639 \u062f\u0627\u0626\u0645\u064b\u0627 \u0628\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\"> \u062a\u062a\u0631\u0627\u0648\u062d \u0642\u064a\u0645\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0628\u064a\u0646 0 \u06481 \u0636\u0645\u0646\u0627\u064b.<\/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-b43459e3f1bfcf6f783408bb57f2b823_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0\\leq F(x) \\leq 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0646\u0647\u0627\u064a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0639\u0646\u062f\u0645\u0627 \u062a\u062a\u062c\u0647 <em>x<\/em> \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u062a\u0633\u0627\u0648\u064a 1.<\/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-18a8b8bd2a28b6e5bf66af92771f690e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty} F(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"118\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 <em>x<\/em> \u0645\u0646 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0647\u064a \u0635\u0641\u0631.<\/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-121e332e607371288d172844a59d5e8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -\\infty} F(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"119\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u062e\u0644\u0627\u0644 \u062e\u0635\u0627\u0626\u0635\u0647\u0627\u060c \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0631\u062a\u064a\u0628\u0629 \u0648\u063a\u064a\u0631 \u0645\u062a\u0646\u0627\u0642\u0635\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-1b3f9780a83c58a6add1513c112f601b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1 \\leq x_2 \\implies F(x_1)\\leq F(x_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0625\u0630\u0627\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-42ce2269b42ed638b79b5c3e01e8d34c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\\leq b\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u062a\u0645 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629. <\/li>\n<\/ul>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{array}{l}P(X &lt; a) = F(a^-)\\\\[2ex] P(X&gt;a)=1-F(a)\\\\[2ex]P(X \\ge a )=1-F(a^-)\\\\[2ex]P(a&lt;ul&gt;&lt;li&gt; Finally, if the statistical variable is continuous, the following equality is satisfied: &lt;\/li&gt;&lt;\/ul&gt;[latex ]\\begin{array}{l}P(a \\le X &lt; b) = \\displaystyle\\int_{a}^{b}f(x)\\,dx = F(b)- F(a)\\end{array}\n\n*** Error message:\nMissing $ inserted.\nleading text: \\begin{array}{l}\nPlease use \\mathaccent for accents in math mode.\nleading text: ... the statistical variable is continuous, the\nPlease use \\mathaccent for accents in math mode.\nleading text: ...iable statistic is continuous, equality\n\\begin{array} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\nImproper \\prevdepth.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing \\cr inserted.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nYou can't use `\\end' in internal vertical mode.\nleading text: \\end{document}\n\\begin{array} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\n\n<\/pre>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"funcion-de-distribucion-y-funcion-de-densidad\"><\/span> \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u0646\u0631\u0649 \u0645\u0627 \u0647\u0648 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629\u060c \u062d\u064a\u062b \u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u064a\u062a\u0645 \u0627\u0644\u062e\u0644\u0637 \u0628\u064a\u0646 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0641\u0643\u0631\u062a\u064a\u0646 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u062a\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629<\/strong> \u0647\u0648 \u0646\u0648\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0630\u064a \u062a\u062d\u062f\u062f\u0647. \u062a\u0635\u0641 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0623\u062e\u0630 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u0635\u0641 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u0645\u062a\u063a\u064a\u0631.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u064a \u0623\u0646\u0647 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u064a\u0633\u0627\u0648\u064a \u0623\u0648 \u0623\u0642\u0644 \u0645\u0646 \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u062a\u0634\u064a\u0631 \u0641\u0642\u0637 \u0625\u0644\u0649 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u064a\u0643\u0648\u0646 \u0645\u0646\u0637\u0642\u064a\u064b\u0627 \u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0642\u064a\u062f \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0645\u0633\u062a\u0645\u0631\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0643\u064a\u0641 \u064a\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0644\u0645\u062a\u063a\u064a\u0631 \u064a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0628\u0645\u062a\u0648\u0633\u0637 1 \u0648\u0627\u0646\u062d\u0631\u0627\u0641 \u0645\u0639\u064a\u0627\u0631\u064a \u0642\u062f\u0631\u0647 0.5: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/fonction-de-distribution-et-fonction-de-densite.png\" alt=\"\u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629\" class=\"wp-image-2375\" width=\"478\" height=\"297\" srcset=\"\" sizes=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u0632\u064a\u062f \u062d\u0648\u0644 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629\u060c \u0631\u0627\u062c\u0639 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/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\/\u062f\u0627\u0644\u0629-\u0627\u0644\u0643\u062b\u0627\u0641\u0629\/\">\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0634\u0631\u062d \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0647\u0627 \u0648\u0645\u062b\u0627\u0644 \u0648\u0627\u0642\u0639\u064a \u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0631\u0624\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629. \u0645\u0627 \u0647\u064a \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u061f \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u060c \u0647\u064a \u062f\u0627\u0644\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639. \u0623\u064a \u0623\u0646 \u0635\u0648\u0631\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 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