{"id":26850,"date":"2021-07-07T13:00:25","date_gmt":"2021-07-07T13:00:25","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26850"},"modified":"2024-05-24T22:14:17","modified_gmt":"2024-05-24T22:14:17","slug":"%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9%d8%a7%d8%aa-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84%d9%8a%d8%a9-%d8%a7%d9%84%d9%85%d9%86%d9%81%d8%b5%d9%84%d8%a9-%d9%88%d8%a7%d9%84%d8%a3%d9%85","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9%d8%a7%d8%aa-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84%d9%8a%d8%a9-%d8%a7%d9%84%d9%85%d9%86%d9%81%d8%b5%d9%84%d8%a9-%d9%88%d8%a7%d9%84%d8%a3%d9%85\/","title":{"rendered":"\u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0623\u0645\u062b\u0644\u0629"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n  <center><\/p>\n<h1>\u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0623\u0645\u062b\u0644\u0629<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\">\n      <strong>\u0645\u0644\u062e\u0635<\/strong><br \/>\n      <em>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0628\u0639\u0645\u0642 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629\u060c \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u062a\u0639\u0631\u064a\u0641\u0647\u0627 \u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u062a\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629. \u0633\u0646\u0639\u0631\u0636 \u0623\u0643\u062b\u0631 \u062e\u0645\u0633 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0645\u0646\u0641\u0635\u0644\u0629 \u0634\u0647\u0631\u0629: \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\u060c \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0633\u0644\u0628\u064a\u060c \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0641\u0648\u0642 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c \u0643\u0644 \u0648\u0627\u062d\u062f\u0629 \u0645\u0646\u0647\u0627 \u0645\u0639 \u0623\u0645\u062b\u0644\u0629 \u062a\u0648\u0636\u062d \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a \u0627\u0644\u062d\u064a\u0627\u0629 \u0627\u0644\u0648\u0627\u0642\u0639\u064a\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u064f\u0642\u062a\u0631\u062d \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0634\u0645\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0641\u064a \u0645\u0648\u0627\u0642\u0641 \u0639\u0645\u0644\u064a\u0629 \u0645\u062b\u0644 \u0623\u0644\u0639\u0627\u0628 \u0627\u0644\u0648\u0631\u0642 \u0648\u0628\u064a\u0639 \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a\u060c \u0645\u0645\u0627 \u064a\u0645\u0646\u062d \u0627\u0644\u0637\u0644\u0627\u0628 \u0641\u0647\u0645\u064b\u0627 \u062a\u0637\u0628\u064a\u0642\u064a\u064b\u0627 \u0644\u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0648\u0627\u062a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629.<\/em>\n    <\/p>\n<p>  <\/center><br \/>\n  <\/p>\n<p style=\"text-align:center;\">\n    <strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong> \u0628\u0639\u062f \u0627\u0644\u0627\u0646\u062a\u0647\u0627\u0621 \u0645\u0646 \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>\u0641\u0647\u0645<\/strong> \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0627\u0644\u0645\u0646\u0641\u0635\u0644 \u0648\u062e\u0635\u0627\u0626\u0635\u0647 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u060c \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0633\u0644\u0628\u064a \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0641\u0648\u0642 \u0627\u0644\u0647\u0646\u062f\u0633\u064a.<\/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    <br \/>\n    <a href=\"#1\"><strong>\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0627\u0644\u0645\u0646\u0641\u0635\u0644<\/strong><\/a><br \/>\n    <a href=\"#2\"><strong>\u0623\u0634\u0647\u0631 \u062e\u0645\u0633 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0645\u0646\u0641\u0635\u0644\u0629<\/strong><\/a><br \/>\n    <a href=\"#3\">\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<\/a><br \/>\n    <a href=\"#4\">\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/a><br \/>\n    <a href=\"#5\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<\/a><br \/>\n    <a href=\"#6\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0633\u0644\u0628\u064a<\/a><br \/>\n    <a href=\"#7\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0641\u0648\u0642 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<\/a><br \/>\n    <a href=\"#8\"><strong>\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u0642\u062a\u0631\u062d\u0629<\/strong><\/a><br \/>\n  <\/center>\n<\/div>\n<p style=\"text-align:justify; color:#000000;\">\u0639\u0646\u062f \u062f\u0631\u0627\u0633\u0629 <a href=\"http:\/\/toposuranos.com\/material\/ar\/%d8%aa%d8%b9%d8%b1%d9%91%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-%d8%a7%d9%84%d8%b9%d9%8a%d9%86%d9%8a-%d9%81%d9%8a-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa\/\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629<\/a>\u060c \u0646\u0644\u0627\u062d\u0638 \u0623\u0646\u0647\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0646 \u0646\u0648\u0639\u064a\u0646: \u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0645\u062a\u0635\u0644\u0629. \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a \u0645\u062a\u0635\u0644\u0627\u064b\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u0629 \u0627\u0644\u0645\u062a\u0635\u0644\u0629\u060c \u0648\u0645\u0646 \u062e\u0644\u0627\u0644\u0647\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629. \u0644\u0642\u062f \u0627\u0633\u062a\u0639\u0631\u0636\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 <a href=\"http:\/\/toposuranos.com\/material\/ar\/%d8%a7%d9%84%d9%85%d8%aa%d8%ba%d9%8a%d8%b1%d8%a7%d8%aa-%d8%a7%d9%84%d8%b9%d8%b4%d9%88%d8%a7%d8%a6%d9%8a%d8%a9-%d9%88%d8%aa%d9%88%d8%b2%d9%8a%d8%b9%d8%a7%d8%aa-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa%d9%85\/\" rel=\"noopener\" target=\"_blank\">\u0647\u0646\u0627<\/a>\u060c \u0648\u0627\u0644\u0622\u0646 \u0633\u0646\u0631\u0643\u0632 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629.<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0627\u0644\u0645\u0646\u0641\u0635\u0644<\/h2>\n<p style=\"text-align:justify; color:#000000;\">\u0646\u0642\u0648\u0644 \u0625\u0646 \u0645\u062a\u063a\u064a\u0631\u064b\u0627 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0644\u062f\u064a\u0647 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0645\u0646\u0641\u0635\u0644 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0647\u0646\u0627\u0643 \u0645\u062c\u0645\u0648\u0639\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C\\subset\\mathbb{R}<\/span><\/span> \u0645\u062d\u062f\u0648\u062f\u0629 \u0623\u0648 \u063a\u064a\u0631 \u0645\u062d\u062f\u0648\u062f\u0629 \u062a\u0639\u062f\u062f\u064a\u064b\u0627 \u0628\u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P\\left(X\\in C\\right)=1;<\/span><\/span> \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0642\u064a\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\in C<\/span><\/span> \u0628\u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> p_X(x) = P(X=x),<\/span><\/span> \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646\u0647 \u0625\u0630\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A\\subset\\mathbb{R},<\/span><\/span> \u0641\u0625\u0646:<\/p>\n<p style=\"text-align:center; color:#000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{lr}\n\n(*) &amp; P\\left(X\\in A\\right) = \\displaystyle \\sum_{x\\in A \\cap C} p_X(x)\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align:justify; color:#000000;\">\u0648\u0628\u0634\u0643\u0644 \u062e\u0627\u0635\u060c<\/p>\n<p style=\"text-align:center; color:#000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{lr}\n\n(**) &amp; \\displaystyle \\sum_{x\\in C} p_X(x) = 1.\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align:justify; color:#000000;\">\u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u062d\u0633\u0627\u0628 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X\\in A)<\/span><\/span> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A=]-\\infty, t],<\/span><\/span> \u0646\u062c\u062f \u0623\u0646:<\/p>\n<p style=\"text-align:center; color:#000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X\\in A) = P(X\\leq t) = F_X(t) = \\displaystyle \\sum_{x\\leq t}p_X(x)<\/span><\/span><\/p>\n<p style=\"text-align:justify; color:#000000;\">\u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u062d\u0633\u0627\u0628\u060c \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_X<\/span><\/span> \u0647\u064a \u00ab\u0633\u0644\u0645\u00bb \u0645\u0639 \u0642\u0641\u0632\u0627\u062a \u0639\u0646\u062f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\in C<\/span><\/span> \u0628\u062d\u062c\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_X(x).<\/span><\/span> \u0627\u0644\u0648\u0638\u064a\u0641\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_X<\/span><\/span> \u0627\u0644\u062a\u064a \u062a\u0630\u0647\u0628 \u0645\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u0625\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">[0,1]<\/span><\/span> \u0647\u064a \u0645\u0627 \u0646\u0633\u0645\u064a\u0647 <strong>\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0643\u0631\u0627\u0631\u0627\u062a<\/strong>. \u0648\u0647\u0643\u0630\u0627\u060c \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u062a\u0648\u0632\u064a\u0639 \u0645\u0646\u0641\u0635\u0644 \u0628\u0648\u0627\u0633\u0637\u0629 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062d\u062f\u0648\u062f\u0629 \u0623\u0648 \u063a\u064a\u0631 \u0645\u062d\u062f\u0648\u062f\u0629 \u062a\u0639\u062f\u062f\u064a\u064b\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C\\subset \\mathbb{R}<\/span><\/span> \u0648\u0648\u0638\u064a\u0641\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_X(x)\\geq 0<\/span><\/span> \u0645\u0639\u0631\u0651\u0641\u0629 \u0644\u0643\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\in C<\/span><\/span> \u0627\u0644\u062a\u064a \u062a\u062d\u0642\u0642 \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a (*) \u0648(**).<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0623\u0634\u0647\u0631 \u062e\u0645\u0633 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0645\u0646\u0641\u0635\u0644\u0629<\/h2>\n<p><center><br \/>\n  <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/MPqcYAwJ4Ws\" title=\"\u0645\u0634\u063a\u0644 \u0641\u064a\u062f\u064a\u0648 YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\n<\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645\u060c \u0633\u0646\u0648\u0627\u0635\u0644 \u062f\u0631\u0627\u0633\u062a\u0646\u0627 \u062d\u0648\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629. \u0641\u064a\u0645\u0627 \u064a\u0644\u064a\u060c \u0633\u0646\u0631\u0649 \u0623\u0634\u0647\u0631 \u062e\u0645\u0633 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0645\u0646\u0641\u0635\u0644\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u0633\u064a\u062a\u0645 \u062a\u0648\u0636\u064a\u062d\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0646\u0648\u0639 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0633\u0627\u0639\u062f \u0641\u064a \u062d\u0644\u0647\u0627.<\/p>\n<p><a name=\"3\"><\/a><\/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<\/h3>\n<p style=\"text-align: justify; color: #000000;\">\u064a\u0623\u062e\u0630 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0623\u0648 <a href=\"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\/\">\u062a\u0648\u0632\u064a\u0639 \u0628\u0631\u0646\u0648\u0644\u064a<\/a> \u0643\u0645\u062a\u063a\u064a\u0631 \u0639\u0634\u0648\u0627\u0626\u064a \u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0623\u0648 \u0627\u0644\u0641\u0634\u0644 (X) \u0641\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0645\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0641\u0631\u062f\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p.<\/span><\/span> \u064a\u064f\u0642\u0627\u0644 \u0625\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a <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\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Bi(n,p),<\/span><\/span> \u0625\u0630\u0627 \u0643\u0627\u0646:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\large P(X=k)= {{n}\\choose{k}} p^k(1-p)^{n-k}<\/span><\/span><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td style=\"background-color: #d0ffd0;\">\n        <span style=\"color: #000080;\"><strong>\u0645\u062b\u0627\u0644:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u064a\u062a\u0645 \u0631\u0645\u064a \u062d\u062c\u0631 \u0646\u0631\u062f \u0630\u0648 6 \u0623\u0648\u062c\u0647 15 \u0645\u0631\u0629. \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0636\u0627\u0639\u0641 \u0644\u062b\u0644\u0627\u062b \u0645\u0631\u0627\u062a 4 \u0645\u0631\u0627\u062a\u061f<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0627\u0644\u062d\u0644: <a href=\"https:\/\/youtu.be\/MPqcYAwJ4Ws?t=182\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">https:\/\/youtu.be\/MPqcYAwJ4Ws?t=182<\/span><\/a><\/strong><\/span>\n      <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"http:\/\/toposuranos.com\/material\/ar\/%d8%b9%d9%85%d9%84%d9%8a%d8%a9-%d8%a8%d9%88%d8%a7%d8%b3%d9%88%d9%86-%d8%aa%d9%82%d8%b1%d9%8a%d8%a8-%d8%a7%d9%84%d8%b9%d9%85%d9%84%d9%8a%d8%a9-%d8%a7%d9%84%d8%ab%d9%86%d8%a7%d8%a6%d9%8a%d8%a9\/\">\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0648\u0627\u0633\u0648\u0646<\/a> \u062a\u064f\u0642\u0633\u0645 \u0625\u0644\u0649 \u0641\u0626\u062a\u064a\u0646: \u0627\u0644\u0645\u0643\u0627\u0646 \u0648\u0627\u0644\u0632\u0645\u0627\u0646. \u064a\u0646\u0628\u0639 \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0645\u0646 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\lambda:<\/span><\/span><\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><strong>\u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\lambda=f\\cdot T,<\/span><\/span> \u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span><\/span> \u0647\u0648 \u0627\u0644\u062a\u0631\u062f\u062f \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">T<\/span><\/span> \u0647\u064a \u0627\u0644\u0641\u062a\u0631\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629.<\/li>\n<li><strong>\u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\lambda=\\rho \\cdot V,<\/span><\/span> \u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span><\/span> \u0647\u0648 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">V<\/span><\/span> \u0647\u0648 \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629.<\/li>\n<\/ul>\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\u0645\u0639\u0644\u0645\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\lambda<\/span><\/span> \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0628\u0644\u0627 \u0623\u0628\u0639\u0627\u062f \u0641\u064a \u0643\u0644\u0627 \u0627\u0644\u062d\u0627\u0644\u062a\u064a\u0646. \u064a\u062c\u0628 \u0623\u064a\u0636\u064b\u0627 \u062a\u0630\u0643\u0631 \u0623\u0646 \u0639\u0645\u0644\u064a\u0629 \u0628\u0648\u0627\u0633\u0648\u0646 \u0647\u064a \u062d\u0627\u0644\u0629 \u062d\u062f\u0648\u062f\u064a\u0629 \u0644\u0639\u0645\u0644\u064a\u0629 \u062b\u0646\u0627\u0626\u064a\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u064a\u0631\u062a\u0628\u0637 \u0623\u064a\u0636\u064b\u0627 \u0628\u0639\u062f\u062f \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0623\u0648 \u0627\u0644\u0641\u0634\u0644. \u064a\u064f\u0642\u0627\u0644 \u0625\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u064a\u062a\u0628\u0639 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Po(\\lambda),<\/span><\/span> \u0625\u0630\u0627 \u062a\u062d\u0642\u0642:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\large\\displaystyle P(X=k)=\\frac{\\lambda^k}{k!}e^{-\\lambda}<\/span><\/span><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td style=\"background-color: #d0ffd0;\">\n        <span style=\"color: #000080;\"><strong>\u0645\u062b\u0627\u0644 (\u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629):<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0625\u0630\u0627 \u0645\u0631\u062a 5 \u0645\u0631\u0643\u0628\u0627\u062a \u0641\u064a \u0627\u0644\u062f\u0642\u064a\u0642\u0629 \u0639\u0644\u0649 \u0637\u0631\u064a\u0642\u060c \u0641\u0645\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0631\u0648\u0631 7 \u0645\u0631\u0643\u0628\u0627\u062a \u0641\u064a \u062f\u0642\u064a\u0642\u0629 \u0648\u0646\u0635\u0641\u061f<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0627\u0644\u062d\u0644: <a href=\"https:\/\/youtu.be\/MPqcYAwJ4Ws?t=570\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">https:\/\/youtu.be\/MPqcYAwJ4Ws?t=570<\/span><\/a><\/strong><\/span>\n      <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td style=\"background-color: #d0ffd0;\">\n        <span style=\"color: #000080;\"><strong>\u0645\u062b\u0627\u0644 (\u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629):<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u064a\u062d\u062a\u0648\u064a \u0627\u0644\u0634\u062e\u0635 \u0627\u0644\u0628\u0627\u0644\u063a \u0627\u0644\u0637\u0628\u064a\u0639\u064a (\u0627\u0644\u0630\u0643\u0631) \u0639\u0644\u0649 5 \u0645\u0644\u0627\u064a\u064a\u0646 \u0645\u0646 \u0643\u0631\u064a\u0627\u062a \u0627\u0644\u062f\u0645 \u0627\u0644\u062d\u0645\u0631\u0627\u0621 \u0641\u064a \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0644\u0643\u0644 \u0645\u064a\u0643\u0631\u0648\u0644\u062a\u0631 \u0645\u0646 \u0627\u0644\u062f\u0645. \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0639\u062f\u062f \u0643\u0631\u064a\u0627\u062a \u0627\u0644\u062f\u0645 \u0627\u0644\u062d\u0645\u0631\u0627\u0621 \u0641\u064a \u0639\u064a\u0646\u0629 \u0645\u0646 1.2 \u0645\u064a\u0643\u0631\u0648\u0644\u062a\u0631 \u0645\u0646 \u0627\u0644\u062f\u0645\u061f<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0627\u0644\u062d\u0644: <a href=\"https:\/\/youtu.be\/MPqcYAwJ4Ws?t=741\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">https:\/\/youtu.be\/MPqcYAwJ4Ws?t=741<\/span><\/a><\/strong><\/span>\n      <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=MPqcYAwJ4Ws&amp;t=1242s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u062a\u062e\u064a\u0644 \u0639\u0645\u0644\u064a\u0629 \u062b\u0646\u0627\u0626\u064a\u0629<\/span><\/strong><\/a> (\u0645\u062b\u0644 \u0631\u0645\u064a \u0639\u0645\u0644\u0629 \u0645\u0631\u0627\u0631\u064b\u0627 \u0648\u062a\u0643\u0631\u0627\u0631\u064b\u0627). \u0625\u0630\u0627 \u0628\u062f\u0644\u064b\u0627 \u0645\u0646 \u0623\u0646 \u062a\u0633\u0623\u0644 \u0639\u0646 \u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0628\u0639\u062f \u0639\u062f\u062f \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a\u060c \u062a\u0633\u0623\u0644 \u0639\u0646 \u0639\u062f\u062f \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u062c\u0628 \u0623\u0646 \u062a\u0642\u0648\u0645 \u0628\u0647\u0627 \u0644\u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u0646\u062c\u0627\u062d \u0627\u0644\u0623\u0648\u0644\u060c \u0641\u0623\u0646\u062a \u0623\u0645\u0627\u0645 \u0645\u062a\u063a\u064a\u0631 \u0639\u0634\u0648\u0627\u0626\u064a \u0645\u0646\u0641\u0635\u0644 \u0630\u0648 \u062a\u0648\u0632\u064a\u0639 \u0647\u0646\u062f\u0633\u064a. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0644\u0647 \u062a\u0648\u0632\u064a\u0639 \u0647\u0646\u062f\u0633\u064a\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Ge(p),<\/span><\/span> \u0641\u0625\u0646:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\large P(X=k)=p(1-p)^{k-1}<\/span><\/span><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td style=\"background-color: #d0ffd0;\">\n        <span style=\"color: #000080;\"><strong>\u0645\u062b\u0627\u0644:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0623\u0646\u062a \u0648\u0635\u062f\u064a\u0642\u0643 \u062a\u0644\u0639\u0628\u0627\u0646 \u0644\u0639\u0628\u0629 \u0627\u0644\u0631\u0648\u0644\u064a\u062a \u0627\u0644\u0631\u0648\u0633\u064a\u0629 \u0628\u0645\u0633\u062f\u0633 \u0630\u0648 6 \u062d\u062c\u0631\u0627\u062a \u0648\u0631\u0635\u0627\u0635\u0629 \u0648\u0627\u062d\u062f\u0629 \u062d\u0642\u064a\u0642\u064a\u0629. \u0641\u064a \u0643\u0644 \u0645\u0631\u0629 \u062a\u0633\u062d\u0628 \u0627\u0644\u0632\u0646\u0627\u062f \u0648\u0644\u0627 \u062a\u062e\u0631\u062c \u0627\u0644\u0631\u0635\u0627\u0635\u0629\u060c \u064a\u062a\u0645 \u062a\u062f\u0648\u064a\u0631 \u0627\u0644\u0623\u0633\u0637\u0648\u0627\u0646\u0629 \u0648\u062a\u0645\u0631\u0631 \u0627\u0644\u0633\u0644\u0627\u062d \u0625\u0644\u0649 \u0627\u0644\u0634\u0631\u064a\u0643 \u0644\u062a\u0623\u062e\u0630 \u062f\u0648\u0631\u0647. \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0646\u0638\u0627\u0645\u060c \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0645\u0648\u062a \u0641\u064a:<\/strong><\/em>\n        <\/p>\n<ul>\n<li>\u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u061f<\/li>\n<li>\u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u061f<\/li>\n<\/ul>\n<p>        <span style=\"color: #008000;\"><strong>\u0627\u0644\u062d\u0644: <a href=\"https:\/\/youtu.be\/MPqcYAwJ4Ws?t=1368\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">https:\/\/youtu.be\/MPqcYAwJ4Ws?t=1368<\/span><\/a><\/strong><\/span>\n      <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0633\u0644\u0628\u064a<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=MPqcYAwJ4Ws&amp;t=1242s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0645\u0634\u0627\u0628\u0647 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<\/span><\/strong><\/a> \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0633\u0644\u0628\u064a\u060c \u0644\u0643\u0646\u0647 \u0623\u0643\u062b\u0631 \u0639\u0645\u0648\u0645\u064a\u0629 \u0642\u0644\u064a\u0644\u0627\u064b. \u0639\u0646\u062f \u062a\u0646\u0641\u064a\u0630 \u0639\u0645\u0644\u064a\u0629 \u062b\u0646\u0627\u0626\u064a\u0629 (\u0645\u062b\u0644 \u0631\u0645\u064a \u0639\u0645\u0644\u0629 \u0645\u0631\u0627\u0631\u064b\u0627 \u0648\u062a\u0643\u0631\u0627\u0631\u064b\u0627) \u0648\u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0623\u0646 \u062a\u0633\u0623\u0644 \u0639\u0646 \u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a\u060c \u062a\u0633\u0623\u0644 \u0639\u0646 \u0639\u062f\u062f \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0642\u0648\u0645 \u0628\u0647\u0627 \u0644\u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u0646\u062c\u0627\u062d \u0627\u0644\u062b\u0627\u0644\u062b\u060c \u0641\u0623\u0646\u062a \u0623\u0645\u0627\u0645 \u0645\u062a\u063a\u064a\u0631 \u0639\u0634\u0648\u0627\u0626\u064a \u0645\u0646\u0641\u0635\u0644 \u0630\u0648 \u062a\u0648\u0632\u064a\u0639 \u062b\u0646\u0627\u0626\u064a \u0633\u0644\u0628\u064a. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0644\u0647 \u062a\u0648\u0632\u064a\u0639 \u062b\u0646\u0627\u0626\u064a \u0633\u0644\u0628\u064a\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Bn(m,p),<\/span><\/span> \u0641\u0625\u0646:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\large P(X=k)= {{k-1}\\choose{m-1}} p^m(1-p)^{k-m}<\/span><\/span><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td style=\"background-color: #d0ffd0;\">\n        <span style=\"color: #000080;\"><strong>\u0645\u062b\u0627\u0644:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u064a\u062a\u0645 \u0631\u0645\u064a \u062d\u062c\u0631 \u0646\u0631\u062f \u0630\u0648 12 \u0648\u062c\u0647\u064b\u0627. \u064a\u0639\u062a\u0628\u0631 \u00ab\u062d\u0631\u062c\u064b\u0627\u00bb \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 1 \u0623\u0648 12. \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062d\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0641\u064a \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0629 \u0627\u0644\u062e\u0627\u0645\u0633\u0629\u061f<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0627\u0644\u062d\u0644: <a href=\"https:\/\/youtu.be\/MPqcYAwJ4Ws?t=1699\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">https:\/\/youtu.be\/MPqcYAwJ4Ws?t=1699<\/span><\/a><\/strong><\/span>\n      <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"7\"><\/a><\/p>\n<h3>\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0641\u0648\u0642 \u0627\u0644\u0647\u0646\u062f\u0633\u064a<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=MPqcYAwJ4Ws&amp;t=1861s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u062a\u062e\u064a\u0644 \u0623\u0646 \u0644\u062f\u064a\u0643 \u0643\u064a\u0633\u064b\u0627<\/span><\/strong><\/a> \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">N<\/span><\/span> \u0645\u0646 \u0627\u0644\u0643\u0631\u0627\u062a \u0627\u0644\u0645\u0644\u0648\u0646\u0629\u060c \u0645\u0646\u0647\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">M<\/span><\/span> \u0643\u0631\u0627\u062a \u0628\u064a\u0636\u0627\u0621 \u0648\u0627\u0644\u0628\u0627\u0642\u064a \u0643\u0631\u0627\u062a \u0633\u0648\u062f\u0627\u0621. \u0625\u0630\u0627 \u0642\u0645\u062a \u0628\u0633\u062d\u0628 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0645\u0646 \u0627\u0644\u0643\u0631\u0627\u062a \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0643\u064a\u0633 (\u0628\u062f\u0648\u0646 \u0627\u0633\u062a\u0628\u062f\u0627\u0644)\u060c \u0641\u0625\u0646 \u0639\u062f\u062f \u0627\u0644\u0643\u0631\u0627\u062a \u0627\u0644\u0628\u064a\u0636\u0627\u0621 \u0627\u0644\u0645\u0633\u062d\u0648\u0628\u0629 \u0633\u064a\u062a\u0645 \u0631\u0628\u0637\u0647 \u0628\u0645\u062a\u063a\u064a\u0631 \u0639\u0634\u0648\u0627\u0626\u064a \u0645\u0646\u0641\u0635\u0644 \u0630\u0648 \u062a\u0648\u0632\u064a\u0639 \u0641\u0648\u0642 \u0627\u0644\u0647\u0646\u062f\u0633\u064a. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0644\u0647 \u062a\u0648\u0632\u064a\u0639 \u0641\u0648\u0642 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Hg(N,M,n),<\/span><\/span> \u0641\u0625\u0646:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\large P(X=k)=\\frac{{{M}\\choose{k}} {{N-M}\\choose{n-k}}}{{N}\\choose{n}}<\/span><\/span><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td style=\"background-color: #d0ffd0;\">\n        <span style=\"color: #000080;\"><strong>\u0645\u062b\u0627\u0644:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0641\u064a \u062f\u0648\u0631\u0629 \u062a\u0636\u0645 30 \u0634\u062e\u0635\u064b\u0627\u060c \u0647\u0646\u0627\u0643 12 \u0631\u062c\u0644\u0627\u064b \u064818 \u0627\u0645\u0631\u0623\u0629. \u0625\u0630\u0627 \u062a\u0645 \u0627\u062e\u062a\u064a\u0627\u0631 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 7 \u0623\u0634\u062e\u0627\u0635 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627\u060c \u0641\u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 5 \u0645\u0646\u0647\u0645 \u0631\u062c\u0627\u0644\u061f<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0627\u0644\u062d\u0644: <a href=\"https:\/\/youtu.be\/MPqcYAwJ4Ws?t=2051\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">https:\/\/youtu.be\/MPqcYAwJ4Ws?t=2051<\/span><\/a><\/strong><\/span>\n      <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"8\"><\/a><\/p>\n<h2>\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u0642\u062a\u0631\u062d\u0629<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\u062a\u0628\u064a\u0639 \u0645\u062a\u062c\u0631 \u0623\u0644\u0639\u0627\u0628 \u0627\u0644\u0637\u0627\u0648\u0644\u0629 \u0628\u0637\u0627\u0642\u0627\u062a \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0645\u0646 \u062f\u0641\u0639\u0629 \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 500 \u0628\u0637\u0627\u0642\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u0628\u062f\u064a\u0644 (\u062a\u062e\u064a\u0644 \u0623\u0646\u0647\u0627 \u0628\u0637\u0627\u0642\u0627\u062a \u062e\u0631\u0627\u0641\u064a\u0629\u060c \u0633\u062d\u0631\u064a\u0629\u060c \u0628\u0648\u0643\u064a\u0645\u0648\u0646\u060c \u0623\u0648 \u0623\u064a \u0644\u0639\u0628\u0629 tcg \u0623\u062e\u0631\u0649). \u0625\u0630\u0627 \u062a\u0623\u0643\u062f \u0627\u0644\u0628\u0627\u0626\u0639 \u0645\u0646 \u0623\u0646 \u0647\u0646\u0627\u0643 \u062f\u0627\u0626\u0645\u064b\u0627 450 \u0628\u0637\u0627\u0642\u0629 \u0639\u0627\u062f\u064a\u0629 (\u0645\u0646\u062e\u0641\u0636\u0629 \u0627\u0644\u0642\u064a\u0645\u0629) \u064850 \u0628\u0637\u0627\u0642\u0629 \u0646\u0627\u062f\u0631\u0629 (\u0639\u0627\u0644\u064a\u0629 \u0627\u0644\u0642\u064a\u0645\u0629)\u060c \u0641\u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 3 \u0628\u0637\u0627\u0642\u0627\u062a \u0646\u0627\u062f\u0631\u0629 \u0639\u0646\u062f \u0634\u0631\u0627\u0621 20 \u0628\u0637\u0627\u0642\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627\u061f<\/li>\n<li>\n<p>\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0628\u0637\u0627\u0642\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0644\u0639\u0628\u0629:<\/p>\n<p>    <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-CFwveZnEnbs\/YOV5oJJn4dI\/AAAAAAAAFR8\/wUHMdfsktYgO1fiT87kABVzBwCzDpyPtACLcBGAsYHQ\/s0\/Stakataka_%2528V%25C3%25ADnculos_Indestructibles_TCG%2529.png\" alt=\"Stakataka TCG: \u0627\u0631\u0645\u064a \u0639\u0645\u0644\u0629 \u062d\u062a\u0649 \u062a\u062d\u0635\u0644 \u0639\u0644\u0649 \u062e\u062a\u0645\u060c \u0644\u0643\u0644 \u0648\u062c\u0647 \u062a\u062e\u0644\u0635 \u0645\u0646 \u0628\u0637\u0627\u0642\u0629 \u0645\u0646 \u0627\u0644\u062e\u0635\u0645\" class=\"alignnone lazyload\" width=\"237\" height=\"331\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-CFwveZnEnbs\/YOV5oJJn4dI\/AAAAAAAAFR8\/wUHMdfsktYgO1fiT87kABVzBwCzDpyPtACLcBGAsYHQ\/s0\/Stakataka_%2528V%25C3%25ADnculos_Indestructibles_TCG%2529.png\" alt=\"Stakataka TCG: \u0627\u0631\u0645\u064a \u0639\u0645\u0644\u0629 \u062d\u062a\u0649 \u062a\u062d\u0635\u0644 \u0639\u0644\u0649 \u062e\u062a\u0645\u060c \u0644\u0643\u0644 \u0648\u062c\u0647 \u062a\u062e\u0644\u0635 \u0645\u0646 \u0628\u0637\u0627\u0642\u0629 \u0645\u0646 \u0627\u0644\u062e\u0635\u0645\" class=\"alignnone lazyload\" width=\"237\" height=\"331\" \/><\/noscript><\/p>\n<p>\u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u062e\u0644\u0635 \u0645\u0646 4 \u0628\u0637\u0627\u0642\u0627\u062a \u0645\u0646 \u0627\u0644\u062e\u0635\u0645\u061f<\/p>\n<\/li>\n<li>\u0641\u064a \u0645\u062a\u062c\u0631 \u0645\u0639\u064a\u0646\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u064a\u0639 \u062c\u0647\u0627\u0632 \u0645\u0639 \u062e\u0644\u0644 \u0641\u064a \u0627\u0644\u0645\u0635\u0646\u0639 \u0647\u0648 2%. \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u062c\u0647\u0627\u0632 \u0627\u0644\u0639\u0627\u0634\u0631 \u0627\u0644\u0645\u0628\u0627\u0639 \u0647\u0648 \u0627\u0644\u062b\u0627\u0644\u062b \u0645\u0639 \u0627\u0644\u062e\u0644\u0644 \u0641\u064a \u0627\u0644\u0645\u0635\u0646\u0639\u061f<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629 \u0648\u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0645\u0644\u062e\u0635 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0628\u0639\u0645\u0642 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629\u060c \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u062a\u0639\u0631\u064a\u0641\u0647\u0627 \u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0639\u064a\u0646\u064a\u0629 \u0627\u0644\u0645\u062a\u0635\u0644\u0629 \u0648\u0627\u0644\u0645\u0646\u0641\u0635\u0644\u0629. \u0633\u0646\u0639\u0631\u0636 \u0623\u0643\u062b\u0631 \u062e\u0645\u0633 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0645\u0646\u0641\u0635\u0644\u0629 \u0634\u0647\u0631\u0629: \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\u060c \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0633\u0644\u0628\u064a\u060c \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0641\u0648\u0642 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u060c \u0643\u0644 \u0648\u0627\u062d\u062f\u0629 \u0645\u0646\u0647\u0627 \u0645\u0639 \u0623\u0645\u062b\u0644\u0629 \u062a\u0648\u0636\u062d \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a \u0627\u0644\u062d\u064a\u0627\u0629 \u0627\u0644\u0648\u0627\u0642\u0639\u064a\u0629. 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