{"id":26756,"date":"2021-05-12T13:00:22","date_gmt":"2021-05-12T13:00:22","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26756"},"modified":"2024-05-22T00:51:47","modified_gmt":"2024-05-22T00:51:47","slug":"%d8%aa%d8%ac%d8%b1%d8%a8%d8%a9-%d8%a8%d8%b1%d9%86%d9%88%d9%84%d9%8a-%d9%88%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d8%ab%d9%86%d8%a7%d8%a6%d9%8a","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%ac%d8%b1%d8%a8%d8%a9-%d8%a8%d8%b1%d9%86%d9%88%d9%84%d9%8a-%d9%88%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d8%ab%d9%86%d8%a7%d8%a6%d9%8a\/","title":{"rendered":"\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0645\u0644\u062e\u0635<\/strong><br \/><em>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u062f\u0631\u0633 \u0645\u0641\u0647\u0648\u0645 \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u0647\u0627 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a. \u0646\u0628\u062f\u0623 \u0628\u062a\u0639\u0631\u064a\u0641 \u0645\u0641\u0635\u0644 \u0644\u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u062b\u0645 \u0646\u0646\u0627\u0642\u0634 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0623\u062d\u062f\u0627\u062b. \u0628\u0639\u062f \u062a\u0648\u0636\u064a\u062d \u0647\u0630\u0647 \u0627\u0644\u0623\u0641\u0643\u0627\u0631\u060c \u0646\u0637\u0628\u0642 \u0646\u0638\u0631\u064a\u0629 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0641\u0647\u0645 \u0643\u064a\u0641 \u0623\u0646 \u062a\u0643\u0631\u0627\u0631 \u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u064a\u0646\u062a\u062c \u0639\u0646\u0647\u0627 \u062a\u0648\u0632\u064a\u0639 \u062b\u0646\u0627\u0626\u064a. \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u062a\u0631\u062d \u0628\u0639\u0636 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0644\u062a\u0637\u0628\u064a\u0642 \u0648\u062a\u0639\u0632\u064a\u0632 \u0647\u0630\u0647 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645.<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n\u0639\u0646\u062f \u0627\u0646\u062a\u0647\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:\n<\/p>\n<ol>\n<li><strong>\u062a\u062d\u062f\u064a\u062f<\/strong> \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0627\u0644\u0631\u0645\u0648\u0632 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0644\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a.<\/li>\n<li><strong>\u062a\u0645\u064a\u064a\u0632<\/strong> \u0628\u064a\u0646 \u0627\u0644\u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 (\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629\u060c \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629\u060c \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629) \u0648\u0641\u0647\u0645 \u0639\u0644\u0627\u0642\u062a\u0647\u0627 \u0648\u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u0646\u0638\u0631\u064a\u0629 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646\u060c \u0648\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0648\u0627\u0644\u0641\u0634\u0644.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a (\u0623\u0648 \u062a\u0648\u0632\u064a\u0639 \u0628\u0631\u0646\u0648\u0644\u064a) \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0639\u062f\u062f \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0641\u064a \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a.<\/li>\n<\/ol>\n<p><center><br \/>\n<strong><u>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a:<\/u><\/strong><br \/>\n<a href=\"#1\">\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a<\/a><br \/>\n<a href=\"#2\">\u0623\u0634\u0643\u0627\u0644 \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629<\/a><br \/>\n<a href=\"#3\">\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u0646\u0638\u0631\u064a\u0629 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<\/a><br \/>\n<a href=\"#4\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a (\u0623\u0648 \u062a\u0648\u0632\u064a\u0639 \u0628\u0631\u0646\u0648\u0644\u064a) \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629<\/a><br \/>\n<a href=\"#5\">\u062a\u0645\u0627\u0631\u064a\u0646:<\/a><br \/>\n<\/center><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/uyljDy0bcvU\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/br><\/br><\/p>\n<h2>\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=103s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0647\u064a \u062a\u062c\u0631\u0628\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629<\/span><\/strong><\/a> \u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0628\u0648\u062c\u0648\u062f \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0639\u064a\u0646 \u0644\u0644\u0646\u062c\u0627\u062d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p.<\/span><\/span> \u0625\u0630\u0627 \u062a\u0643\u0631\u0631\u062a \u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u0631\u0629 \u0628\u0634\u0643\u0644 \u0645\u062a\u0645\u0627\u062b\u0644 \u0648\u0645\u0633\u062a\u0642\u0644\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <strong>\u0623\u062d\u062f\u0627\u062b \u0628\u0631\u0646\u0648\u0644\u064a:<\/strong> \u0639\u062f\u062f \u0645\u0639\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0645\u0646 \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0628\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a. \u062a\u064f\u0639\u0631\u0641 \u0647\u0630\u0647 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0648\u0646\u0639\u0628\u0631 \u0639\u0646\u0647\u0627 \u0628\u0627\u0644\u0631\u0645\u0632<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle Bi(n;k;p)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0646 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0647\u0645\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0644\u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0645\u0633\u062a\u0642\u0644\u0629 \u0639\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636.<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000080;\">\u0645\u062b\u0627\u0644:<\/span> \u064a\u062a\u0645 \u0631\u0645\u064a \u0645\u0643\u0639\u0628 \u0630\u0648 6 \u0648\u062c\u0648\u0647 \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631. \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0623\u062d\u062f\u0627\u062b \u0645\u0646 \u0646\u0648\u0639 \u0628\u0631\u0646\u0648\u0644\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u062a\u062c\u0631\u0628\u0629 \u062a\u0634\u0645\u0644:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><strong>\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 3 \u0623\u0648\u062c\u0647 \u0645\u0639\u064a\u0646\u0629 \u0628\u064a\u0646 5 \u0645\u062d\u0627\u0648\u0644\u0627\u062a:<\/strong> \u064a\u064f\u0645\u062b\u0644 \u0628\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(5;3;1\/6)<\/span><\/span><\/li>\n<li><strong>\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 7 \u0623\u0639\u062f\u0627\u062f \u0632\u0648\u062c\u064a\u0629 \u0628\u064a\u0646 12 \u0645\u062d\u0627\u0648\u0644\u0629:<\/strong> \u064a\u064f\u0645\u062b\u0644 \u0628\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(12;7;1\/3)<\/span><\/span><\/li>\n<\/ul>\n<p><a name=\"2\"><\/a><\/br><\/br><\/p>\n<h3>\u0623\u0634\u0643\u0627\u0644 \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=283s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0641\u064a \u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a<\/span><\/strong><\/a> \u0644\u064a\u0633\u062a \u0628\u0627\u0644\u0636\u0628\u0637 \u0646\u0641\u0633 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u0633\u0628\u0642 \u0648\u0631\u0627\u062c\u0639\u0646\u0627\u0647\u0627\u060c \u0625\u0646\u0647\u0627 \u0646\u0633\u062e\u0629 \u0623\u0643\u062b\u0631 \u062a\u0642\u064a\u064a\u062f\u064b\u0627. \u0644\u062a\u0648\u0636\u064a\u062d \u0647\u0630\u0627 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0641\u062d\u0635 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0623\u062d\u062f\u0627\u062b.<\/p>\n<h4>\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629<\/h4>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/toposuranos.com\/probabilidad-condicional-e-independencia-entre-eventos\/\" rel=\"noopener\" target=\"_blank\">\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u0646\u0639\u0631\u0641\u0647\u0627<\/a> \u0647\u064a \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062b \u0628\u064a\u0646 \u062d\u062f\u062b\u064a\u0646\u060c \u0646\u0633\u0645\u064a\u0647\u0627 \u00ab\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629\u00bb. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0646\u0642\u0648\u0644 \u0625\u0646 \u0627\u0644\u062d\u062f\u062b\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u0645\u0633\u062a\u0642\u0644\u0627\u0646 \u0625\u0630\u0627<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B) = P(A)P(B)<\/span><\/span><\/p>\n<h4>\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629<\/h4>\n<p style=\"text-align: justify; color: #000000;\">\u0628\u0634\u0643\u0644 \u0645\u0634\u0627\u0628\u0647\u060c \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629 \u0628\u064a\u0646 \u062b\u0644\u0627\u062b\u0629 \u0623\u062d\u062f\u0627\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0629<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B\\cap C) = P(A)P(B)P(C)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u0646\u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0628\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u0644\u0627 \u062a\u0639\u0646\u064a \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629\u060c \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0627\u0644\u0639\u0643\u0633 \u0635\u062d\u064a\u062d.<\/p>\n<h4>\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0641\u064a \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a<\/h4>\n<p style=\"text-align: justify; color: #000000;\">\u0628\u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0645\u0639 \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0633\u0627\u0628\u0642\u0629\u060c \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0628\u064a\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0623\u062d\u062f\u0627\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A_1, \\cdots, A_n<\/span><\/span> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0629<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle P\\left(\\bigcap_{i=1}^n A_i\\right) = \\prod_{i=1}^n P(A_i) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0644\u062f\u064a\u0646\u0627:<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(n-1)<\/span><\/span>-\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0644\u0627 \u062a\u0639\u0646\u064a \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Longrightarrow<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">(n-1)<\/span><\/span>-\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u062a\u0643\u0631\u0627\u0631\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0641\u064a \u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0645\u0633\u062a\u0642\u0644\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u0628\u0634\u0643\u0644 \u0645\u0633\u062a\u0642\u0644.<\/p>\n<p><a name=\"3\"><\/a><\/br><\/br><\/p>\n<h2>\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u0646\u0638\u0631\u064a\u0629 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=478s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0644\u0646\u0639\u062a\u0628\u0631 \u062a\u062c\u0631\u0628\u0629 \u0646\u062c\u0627\u062d \u0648\u0641\u0634\u0644<\/span><\/strong><\/a> \u0628\u0627\u062d\u062a\u0645\u0627\u0644 \u0646\u062c\u0627\u062d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p<\/span><\/span>\u061b \u0641\u064a \u0643\u0644 \u0645\u062d\u0627\u0648\u0644\u0629 \u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627\u060c \u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0627\u062d\u062a\u0645\u0627\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1-p<\/span><\/span> \u0644\u0644\u0641\u0634\u0644. \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0648\u062b \u0646\u062c\u0627\u062d \u0623\u0648 \u0641\u0634\u0644 \u0641\u064a \u0643\u0644 \u0645\u062d\u0627\u0648\u0644\u0629 \u0647\u0648 1\u061b \u0648\u0628\u0645\u0627 \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0645\u0633\u062a\u0642\u0644\u0629\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0648\u062b \u0646\u062c\u0627\u062d \u0623\u0648 \u0641\u0634\u0644 \u0641\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0633\u064a\u0643\u0648\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1^n.<\/span><\/span> \u0645\u0646 \u0647\u0646\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle 1 = 1^n = [p + (1-p)]^n = \\sum_{k=0}^n {{n}\\choose{k}} p^k(1-p)^{n-k} <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629\u060c \u062a\u0645 \u062a\u0637\u0628\u064a\u0642 <a href=\"https:\/\/toposuranos.com\/ejercicios-de-induccion-matematica-teorema-del-binomio-de-newton\/\" rel=\"noopener\" target=\"_blank\">\u0646\u0638\u0631\u064a\u0629 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0646\u064a\u0648\u062a\u0646\u060c<\/a> \u0648\u064a\u0645\u0643\u0646 \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u062f\u0627\u062e\u0644 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0628\u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{k}}<\/span><\/span>\uff1a\u0639\u062f\u062f \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062d\u062f\u062b \u0628\u0647\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0646\u062c\u0627\u062d\u0627\u062a \u0639\u0646\u062f \u0625\u062c\u0631\u0627\u0621 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p^k<\/span><\/span>\uff1a\u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0648\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0646\u062c\u0627\u062d\u0627\u062a \u0645\u0633\u062a\u0642\u0644\u0629<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(1-p)^{n-k}<\/span><\/span>\uff1a\u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0648\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-k<\/span><\/span> \u0641\u0634\u0644 \u0645\u0633\u062a\u0642\u0644<\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u0628\u062c\u0645\u0639 \u0647\u0630\u0647 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0628\u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u064a \u062a\u0638\u0647\u0631 \u0641\u064a \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649: \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0646\u062c\u0627\u062d\u0627\u062a \u0628\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a\u061b \u0623\u0648 \u0628\u0634\u0643\u0644 \u0645\u0643\u0627\u0641\u0626\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-k<\/span><\/span> \u0641\u0634\u0644 \u0628\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0625\u0630\u0627 \u0641\u0635\u0644\u0646\u0627 \u0643\u0644 \u0645\u0635\u0637\u0644\u062d \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649:<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{0}} p^0(1-p)^{n-0} = (1-p)^n<\/span><\/span><\/td>\n<td>0 \u0646\u062c\u0627\u062d\u0627\u062a \u0628\u064a\u0646 n \u0645\u062d\u0627\u0648\u0644\u0627\u062a<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{1}} p^1(1-p)^{n-1} = n p(1-p)^{n-1}<\/span><\/span><\/td>\n<td>1 \u0646\u062c\u0627\u062d \u0628\u064a\u0646 n \u0645\u062d\u0627\u0648\u0644\u0627\u062a<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{2}} p^2(1-p)^{n-2}<\/span><\/span><\/td>\n<td>2 \u0646\u062c\u0627\u062d\u0627\u062a \u0628\u064a\u0646 n \u0645\u062d\u0627\u0648\u0644\u0627\u062a<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{k}} p^k(1-p)^{n-k}<\/span><\/span><\/td>\n<td>k \u0646\u062c\u0627\u062d\u0627\u062a \u0628\u064a\u0646 n \u0645\u062d\u0627\u0648\u0644\u0627\u062a<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{n-1}} p^{n-1}(1-p)^{n-(n-1)} = n p^{n-1}(1-p)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-1<\/span><\/span> \u0646\u062c\u0627\u062d\u0627\u062a \u0628\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{n}} p^{n}(1-p)^{0} = p^{n}<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0646\u062c\u0627\u062d\u0627\u062a \u0628\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0645\u062c\u0645\u0648\u0639 \u0643\u0644 \u0647\u0630\u0647 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627\u060c \u0647\u0648 \u00ab1\u00bb. \u0645\u0645\u0627 \u064a\u064f\u0638\u0647\u0631 \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0642\u062f \u062a\u0645 \u062a\u063a\u0637\u064a\u062a\u0647\u0627.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0646 \u0647\u0646\u0627 \u064a\u0645\u0643\u0646 \u062a\u0639\u0631\u064a\u0641 <strong>\u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u062b \u0628\u0631\u0646\u0648\u0644\u064a:<\/strong><\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\Large \\color{blue}{P(Bi(n;k;p)) = {{n}\\choose{k}}p^k(1-p)^{n-k}}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0623\u0648 \u0646\u0642\u0648\u0644 \u0623\u0646 <strong>\u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u064a\u062a\u0628\u0639 \u062a\u0648\u0632\u064a\u0639\u064b\u0627 \u062b\u0646\u0627\u0626\u064a\u064b\u0627:<\/strong><\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{\\Large \\displaystyle X\\sim Bi(n;p) \\longmapsto P(X=x) = {{n}\\choose{x}}p^x(1-p)^{n-x}}<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/br><\/br><\/p>\n<h3>\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a (\u0623\u0648 \u062a\u0648\u0632\u064a\u0639 \u0628\u0631\u0646\u0648\u0644\u064a) \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=779s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a<\/span><\/strong><\/a> \u0646\u0628\u062f\u0623 \u0641\u064a \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0623\u0648\u0644\u0649 \u0644\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u0631\u062a\u0628\u0637 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a (\u0627\u0644\u0645\u0646\u0641\u0635\u0644) \u0628\u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0648\u062a\u0648\u0632\u064a\u0639\u0647 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u064a\u0639\u0637\u0649 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{\\Large \\displaystyle P(X=x) = {{n}\\choose{x}}p^x(1-p)^{n-x}}<\/span><\/span><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/36s4rcfQn7M\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<p><a name=\"5\"><\/a><\/br><\/br><\/p>\n<h2>\u062a\u0645\u0627\u0631\u064a\u0646:<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\u064a\u062a\u0645 \u0631\u0645\u064a \u0645\u0643\u0639\u0628 \u0630\u0648 6 \u0648\u062c\u0648\u0647 \u0645\u062a\u0648\u0627\u0632\u0646 5 \u0645\u0631\u0627\u062a. \u0627\u062d\u0633\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 3 \u0623\u0639\u062f\u0627\u062f \u0632\u0648\u062c\u064a\u0629 \u0643\u0646\u062a\u064a\u062c\u0629.<\/li>\n<li>\u064a\u062a\u0645 \u0631\u0645\u064a \u0639\u0645\u0644\u0629 10 \u0645\u0631\u0627\u062a. \u0627\u062d\u0633\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0646 0 \u0625\u0644\u0649 10 \u0648\u062c\u0648\u0647\u060c \u0648\u0627\u0631\u0633\u0645 \u0645\u062e\u0637\u0637\u064b\u0627 \u064a\u0648\u0636\u062d \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0644\u0643\u0644 \u0646\u062a\u064a\u062c\u0629. \u0643\u064a\u0641 \u0633\u064a\u0628\u062f\u0648 \u0627\u0644\u0645\u062e\u0637\u0637 \u0625\u0630\u0627 \u0632\u0627\u062f \u0639\u062f\u062f \u0627\u0644\u0631\u0645\u064a\u0627\u062a \u0648\u062a\u0645 \u0641\u062d\u0635 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0639\u062f\u062f \u0645\u0646 \u0627\u0644\u0648\u062c\u0648\u0647 \u0645\u0646 0 \u0625\u0644\u0649 \u0639\u062f\u062f \u062a\u0644\u0643 \u0627\u0644\u0631\u0645\u064a\u0627\u062a\u061f \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0648\u0631\u0642\u0629 Excel \u0645\u0641\u064a\u062f\u0629 \u0647\u0646\u0627.<\/li>\n<li>\u0644\u062f\u064a\u0643 \u0642\u0631\u0639\u0629 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0643\u0645\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">s<\/span><\/span> \u0645\u0646 \u0627\u0644\u0643\u0631\u0627\u062a\u060c \u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">r<\/span><\/span> \u0645\u0646\u0647\u0627 \u0630\u0647\u0628\u064a\u0629 \u0648\u0627\u0644\u0628\u0627\u0642\u064a \u0628\u064a\u0636\u0627\u0621. \u064a\u062a\u0645 \u062e\u0644\u0637 \u0627\u0644\u062c\u0645\u064a\u0639 \u0648\u0633\u062d\u0628 \u0648\u0627\u062d\u062f\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627\u060c \u0648\u062a\u0631\u0628\u062d \u0639\u0646\u062f \u0633\u062d\u0628 \u0627\u0644\u0643\u0631\u0629 \u0627\u0644\u0630\u0647\u0628\u064a\u0629. \u0625\u0630\u0627 \u062a\u0645 \u062a\u0643\u0631\u0627\u0631 \u0647\u0630\u0627 \u0627\u0644\u062a\u062c\u0631\u0628\u0629 \u0628\u0634\u0643\u0644 \u0645\u062a\u0645\u0627\u062b\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">20<\/span><\/span> \u0645\u0631\u0629\u060c \u0642\u0645 \u0628\u062a\u0642\u062f\u064a\u0631 \u0639\u062f\u062f \u0627\u0644\u0627\u0646\u062a\u0635\u0627\u0631\u0627\u062a \u0627\u0644\u0623\u0643\u062b\u0631 \u0627\u062d\u062a\u0645\u0627\u0644\u064b\u0627 \u0644\u0643\u0644 \u0642\u064a\u0645\u0629 \u0645\u0645\u0643\u0646\u0629 \u0645\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0\\leq r\\leq s.<\/span><\/span> \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0648\u0631\u0642\u0629 Excel \u0645\u0641\u064a\u062f\u0629 \u0647\u0646\u0627.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0645\u0644\u062e\u0635\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u062f\u0631\u0633 \u0645\u0641\u0647\u0648\u0645 \u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u0648\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u0647\u0627 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a. \u0646\u0628\u062f\u0623 \u0628\u062a\u0639\u0631\u064a\u0641 \u0645\u0641\u0635\u0644 \u0644\u062a\u062c\u0627\u0631\u0628 \u0628\u0631\u0646\u0648\u0644\u064a \u062b\u0645 \u0646\u0646\u0627\u0642\u0634 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0623\u062d\u062f\u0627\u062b. \u0628\u0639\u062f \u062a\u0648\u0636\u064a\u062d \u0647\u0630\u0647 \u0627\u0644\u0623\u0641\u0643\u0627\u0631\u060c \u0646\u0637\u0628\u0642 \u0646\u0638\u0631\u064a\u0629 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646 \u0644\u0641\u0647\u0645 \u0643\u064a\u0641 \u0623\u0646 \u062a\u0643\u0631\u0627\u0631 \u062a\u062c\u0631\u0628\u0629 \u0628\u0631\u0646\u0648\u0644\u064a \u064a\u0646\u062a\u062c \u0639\u0646\u0647\u0627 \u062a\u0648\u0632\u064a\u0639 \u062b\u0646\u0627\u0626\u064a. \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u062a\u0631\u062d \u0628\u0639\u0636 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0644\u062a\u0637\u0628\u064a\u0642 \u0648\u062a\u0639\u0632\u064a\u0632 \u0647\u0630\u0647 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645. \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26419,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":34,"footnotes":""},"categories":[676,565],"tags":[],"class_list":["post-26756","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-676","category-565"],"yoast_head":"<!-- This site is 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