{"id":26856,"date":"2021-07-07T13:00:32","date_gmt":"2021-07-07T13:00:32","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26856"},"modified":"2024-05-25T21:29:09","modified_gmt":"2024-05-25T21:29:09","slug":"%d0%b4%d0%b8%d1%81%d0%ba%d1%80%d0%b5%d1%82%d0%bd%d1%8b%d0%b5-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b2%d0%b5%d1%80%d0%be%d1%8f%d1%82%d0%bd%d0%be%d1%81%d1%82","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ru\/%d0%b4%d0%b8%d1%81%d0%ba%d1%80%d0%b5%d1%82%d0%bd%d1%8b%d0%b5-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b2%d0%b5%d1%80%d0%be%d1%8f%d1%82%d0%bd%d0%be%d1%81%d1%82\/","title":{"rendered":"\u0414\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u041f\u0440\u0438\u043c\u0435\u0440\u044b"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n  <center><\/p>\n<h1>\u0414\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u041f\u0440\u0438\u043c\u0435\u0440\u044b<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\">\n      <strong>\u0420\u0435\u0437\u044e\u043c\u0435<\/strong><br \/>\n      <em>\u041d\u0430 \u044d\u0442\u043e\u043c \u0437\u0430\u043d\u044f\u0442\u0438\u0438 \u043c\u044b \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u0438\u0437\u0443\u0447\u0438\u043c \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u0438\u0445 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\u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044f \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0430\u043c \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u043e\u0435 \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u044d\u0442\u0438\u0445 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0445 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442\u043e\u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438.<\/em>\n    <\/p>\n<p>  <\/center><br \/>\n  <\/p>\n<p style=\"text-align:center;\">\n    <strong>\u0426\u0415\u041b\u0418 \u041e\u0411\u0423\u0427\u0415\u041d\u0418\u042f:<\/strong> \u041f\u043e \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0438\u0438 \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043d\u044f\u0442\u0438\u044f \u0441\u0442\u0443\u0434\u0435\u043d\u0442 \u0441\u043c\u043e\u0436\u0435\u0442:\n  <\/p>\n<ol>\n<li><strong>\u041f\u043e\u043d\u044f\u0442\u044c<\/strong> \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u0435\u0433\u043e \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438.<\/li>\n<li><strong>\u041f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c<\/strong> \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435, \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430, \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435, \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0438 \u0433\u0438\u043f\u0435\u0440\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f.<\/li>\n<\/ol>\n<p>  <center><br \/>\n    <strong><u>\u0421\u041e\u0414\u0415\u0420\u0416\u0410\u041d\u0418\u0415<\/u>:<\/strong><br \/>\n    <br \/>\n    <a href=\"#1\"><strong>\u041a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044f \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438<\/strong><\/a><br \/>\n    <a href=\"#2\"><strong>\u041f\u044f\u0442\u044c \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 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href=\"#8\"><strong>\u041f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f<\/strong><\/a><br \/>\n  <\/center>\n<\/div>\n<p style=\"text-align:justify; color:#000000;\">\u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u0438\u0437\u0443\u0447\u0430\u0435\u043c <a href=\"http:\/\/toposuranos.com\/material\/ru\/%d0%bf%d0%be%d0%b7%d0%bd%d0%b0%d0%ba%d0%be%d0%bc%d1%8c%d1%82%d0%b5%d1%81%d1%8c-%d1%81-%d0%bf%d1%80%d0%be%d1%81%d1%82%d1%80%d0%b0%d0%bd%d1%81%d1%82%d0%b2%d0%be%d0%bc-%d1%8d%d0%bb%d0%b5%d0%bc%d0%b5-2\/\" target=\"_blank\" rel=\"noopener\">\u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u044b\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430<\/a>, \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043e\u043d\u0438 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0434\u0432\u0443\u0445 \u0442\u0438\u043f\u043e\u0432: \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0438 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u044b\u0435. \u041a\u043e\u0433\u0434\u0430 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u044b\u043c, \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0442\u0430\u043a\u043e\u0439 \u043f\u0440\u0438\u0440\u043e\u0434\u044b \u0438, \u0438\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u043d\u0438\u0445, \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438. \u041c\u044b \u0443\u0436\u0435 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043b\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 <a href=\"http:\/\/toposuranos.com\/material\/ru\/%d1%81%d0%bb%d1%83%d1%87%d0%b0%d0%b9%d0%bd%d1%8b%d0%b5-%d0%bf%d0%b5%d1%80%d0%b5%d0%bc%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d0%b8-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8\/\" rel=\"noopener\" target=\"_blank\">\u0437\u0434\u0435\u0441\u044c<\/a>, \u0442\u0435\u043f\u0435\u0440\u044c \u0441\u043e\u0441\u0440\u0435\u0434\u043e\u0442\u043e\u0447\u0438\u043c\u0441\u044f \u043d\u0430 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\u0445 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u041a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044f \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438<\/h2>\n<p style=\"text-align:justify; color:#000000;\">\u041c\u044b \u0433\u043e\u0432\u043e\u0440\u0438\u043c, \u0447\u0442\u043e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0438\u043c\u0435\u0435\u0442 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u0435\u0441\u043b\u0438 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C\\subset\\mathbb{R}<\/span><\/span> \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0435 \u0438\u043b\u0438 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0435 \u0441\u0447\u0451\u0442\u043d\u043e\u0435 \u0442\u0430\u043a\u043e\u0435, \u0447\u0442\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P\\left(X\\in C\\right)=1;<\/span><\/span> \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0435\u0441\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\in C<\/span><\/span>, \u0442\u0430\u043a\u0438\u0435 \u0447\u0442\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> p_X(x) = P(X=x),<\/span><\/span> \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A\\subset\\mathbb{R},<\/span><\/span> \u0442\u043e:<\/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;\">\u0418 \u0432 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438,<\/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;\">\u0415\u0441\u043b\u0438 \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u043c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X\\in A)<\/span><\/span> \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A=]-\\infty, t],<\/span><\/span> \u043c\u044b \u043e\u0431\u043d\u0430\u0440\u0443\u0436\u0438\u0432\u0430\u0435\u043c, \u0447\u0442\u043e:<\/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;\">\u0418\u0437 \u044d\u0442\u043e\u0433\u043e \u0440\u0430\u0441\u0447\u0451\u0442\u0430 \u043c\u044b \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u043c, \u0447\u0442\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_X<\/span><\/span> \u044d\u0442\u043e \u00ab\u043b\u0435\u0441\u0442\u043d\u0438\u0446\u0430\u00bb \u0441 \u043f\u0440\u044b\u0436\u043a\u0430\u043c\u0438 \u0432 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\in C<\/span><\/span> \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u043c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_X(x).<\/span><\/span> \u0424\u0443\u043d\u043a\u0446\u0438\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_X<\/span><\/span> \u043e\u0442 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u043a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">[0,1]<\/span><\/span> \u044d\u0442\u043e \u0442\u043e, \u0447\u0442\u043e \u043c\u044b \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c <strong>\u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u0447\u0430\u0441\u0442\u043e\u0442<\/strong>. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0437\u0430\u0434\u0430\u0451\u0442\u0441\u044f \u043a\u043e\u043d\u0435\u0447\u043d\u044b\u043c \u0438\u043b\u0438 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u044b\u043c \u0441\u0447\u0451\u0442\u043d\u044b\u043c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e\u043c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C\\subset \\mathbb{R}<\/span><\/span> \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_X(x)\\geq 0<\/span><\/span> \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0451\u043d\u043d\u043e\u0439 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\in C<\/span><\/span> \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f\u043c (*) \u0438 (**).<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u041f\u044f\u0442\u044c \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438<\/h2>\n<p><center><br \/>\n  <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/MPqcYAwJ4Ws\" title=\"YouTube video player\" 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;\">\u0412 \u044d\u0442\u043e\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u043c\u044b \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u043c \u043d\u0430\u0448\u0435 \u0438\u0437\u0443\u0447\u0435\u043d\u0438\u0435 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438. \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u044f\u0442\u044c \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0431\u0443\u0434\u0443\u0442 \u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u044b, \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044f \u0442\u0438\u043f\u044b \u0437\u0430\u0434\u0430\u0447, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043e\u043d\u0438 \u043c\u043e\u0433\u0443\u0442 \u043f\u043e\u043c\u043e\u0447\u044c \u0440\u0435\u0448\u0438\u0442\u044c.<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u0411\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0438\u043b\u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0411\u0435\u0440\u043d\u0443\u043b\u043b\u0438<\/h3>\n<p style=\"text-align: justify; color: #000000;\">\u0411\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 <a href=\"http:\/\/toposuranos.com\/material\/ru\/%d0%b8%d1%81%d0%bf%d1%8b%d1%82%d0%b0%d0%bd%d0%b8%d0%b5-%d0%b1%d0%b5%d1%80%d0%bd%d1%83%d0%bb%d0%bb%d0%b8-%d0%b8-%d0%b1%d0%b8%d0%bd%d0%be%d0%bc%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%d0%b5-%d1%80%d0%b0\/\">\u0411\u0435\u0440\u043d\u0443\u043b\u043b\u0438<\/a> \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u0435\u0442 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0443\u044e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e \u0447\u0438\u0441\u043b\u043e \u0443\u0441\u043f\u0435\u0445\u043e\u0432 \u0438\u043b\u0438 \u043d\u0435\u0443\u0434\u0430\u0447 (X) \u0432 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u043f\u043e\u043f\u044b\u0442\u043a\u0430\u0445 \u0441 \u0438\u043d\u0434\u0438\u0432\u0438\u0434\u0443\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c\u044e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p.<\/span><\/span> \u0413\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Bi(n,p),<\/span><\/span> \u0442\u043e\u0433\u0434\u0430,<\/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>\u041f\u0420\u0418\u041c\u0415\u0420:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0411\u0440\u043e\u0441\u0430\u044e\u0442 \u0448\u0435\u0441\u0442\u0438\u0433\u0440\u0430\u043d\u043d\u044b\u0439 \u043a\u0443\u0431\u0438\u043a 15 \u0440\u0430\u0437. \u041a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u043a\u0440\u0430\u0442\u043d\u043e\u0435 \u0442\u0440\u0451\u0445 4 \u0440\u0430\u0437\u0430?<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0420\u0415\u0428\u0415\u041d\u0418\u0415: <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>\u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"http:\/\/toposuranos.com\/material\/ru\/%d0%bf%d1%80%d0%be%d1%86%d0%b5%d1%81%d1%81-%d0%bf%d1%83%d0%b0%d1%81%d1%81%d0%be%d0%bd%d0%b0-%d0%b0%d0%bf%d0%bf%d1%80%d0%be%d0%ba%d1%81%d0%b8%d0%bc%d0%b0%d1%86%d0%b8%d1%8f-%d0%b1%d0%b8%d0%bd%d0%be\/\">\u041f\u0440\u043e\u0446\u0435\u0441\u0441\u044b \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430<\/a> \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u043d\u0430 \u0434\u0432\u0435 \u043a\u0430\u0442\u0435\u0433\u043e\u0440\u0438\u0438: \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0438 \u0432\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435. \u042d\u0442\u043e \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0435 \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u0435\u0442 \u0438\u0437 \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 <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>\u0412\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0441\u043b\u0443\u0447\u0430\u0439:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\lambda=f\\cdot T,<\/span><\/span> \u0433\u0434\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span><\/span> \u044d\u0442\u043e \u0447\u0430\u0441\u0442\u043e\u0442\u0430 \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">T<\/span><\/span> \u044d\u0442\u043e \u043f\u0435\u0440\u0438\u043e\u0434 \u0432\u0440\u0435\u043c\u0435\u043d\u0438.<\/li>\n<li><strong>\u041f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\lambda=\\rho \\cdot V,<\/span><\/span> \u0433\u0434\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span><\/span> \u044d\u0442\u043e \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u044c \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">V<\/span><\/span> \u044d\u0442\u043e \u043e\u0431\u044a\u0451\u043c \u0432\u044b\u0431\u043e\u0440\u043a\u0438.<\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u0412\u0430\u0436\u043d\u043e \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0432 \u043e\u0431\u043e\u0438\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\lambda<\/span><\/span> \u0434\u043e\u043b\u0436\u0435\u043d \u0431\u044b\u0442\u044c \u0431\u0435\u0437\u0440\u0430\u0437\u043c\u0435\u0440\u043d\u044b\u043c. \u0422\u0430\u043a\u0436\u0435 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043f\u043e\u043c\u043d\u0438\u0442\u044c, \u0447\u0442\u043e \u043f\u0440\u043e\u0446\u0435\u0441\u0441 \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u0435\u0434\u0435\u043b\u044c\u043d\u044b\u043c \u0441\u043b\u0443\u0447\u0430\u0435\u043c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u0430\u044f \u0441 \u044d\u0442\u0438\u043c \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u043c, \u0442\u0430\u043a\u0436\u0435 \u0441\u0432\u044f\u0437\u0430\u043d\u0430 \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0451\u043d\u043d\u044b\u043c \u00ab\u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e\u043c \u0443\u0441\u043f\u0435\u0445\u043e\u0432 \u0438\u043b\u0438 \u043d\u0435\u0443\u0434\u0430\u0447\u00bb. \u0413\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Po(\\lambda),<\/span><\/span> \u0435\u0441\u043b\u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f:<\/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>\u041f\u0420\u0418\u041c\u0415\u0420 (\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0441\u043b\u0443\u0447\u0430\u0439):<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0415\u0441\u043b\u0438 \u043f\u043e \u0434\u043e\u0440\u043e\u0433\u0435 \u043f\u0440\u043e\u0435\u0437\u0436\u0430\u0435\u0442 5 \u0430\u0432\u0442\u043e\u043c\u043e\u0431\u0438\u043b\u0435\u0439 \u0432 \u043c\u0438\u043d\u0443\u0442\u0443, \u043a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0437\u0430 \u043f\u043e\u043b\u0442\u043e\u0440\u044b \u043c\u0438\u043d\u0443\u0442\u044b \u043f\u0440\u043e\u0435\u0434\u0443\u0442 7 \u0430\u0432\u0442\u043e\u043c\u043e\u0431\u0438\u043b\u0435\u0439?<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0420\u0415\u0428\u0415\u041d\u0418\u0415: <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>\u041f\u0420\u0418\u041c\u0415\u0420 (\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439):<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u041e\u0431\u044b\u0447\u043d\u044b\u0439 \u0432\u0437\u0440\u043e\u0441\u043b\u044b\u0439 \u0447\u0435\u043b\u043e\u0432\u0435\u043a (\u043c\u0443\u0436\u0447\u0438\u043d\u0430) \u0438\u043c\u0435\u0435\u0442 \u0432 \u0441\u0440\u0435\u0434\u043d\u0435\u043c 5 \u043c\u0438\u043b\u043b\u0438\u043e\u043d\u043e\u0432 \u044d\u0440\u0438\u0442\u0440\u043e\u0446\u0438\u0442\u043e\u0432 \u043d\u0430 \u043c\u0438\u043a\u0440\u043e\u043b\u0438\u0442\u0440 \u043a\u0440\u043e\u0432\u0438. \u041a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u043f\u0440\u0438 \u0432\u0437\u044f\u0442\u0438\u0438 \u043f\u0440\u043e\u0431\u044b \u043a\u0440\u043e\u0432\u0438 \u043e\u0431\u044a\u0435\u043c\u043e\u043c 1,2 \u043c\u0438\u043a\u0440\u043e\u043b\u0438\u0442\u0440\u0430 \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043e \u0442\u0430\u043a\u043e\u0435 \u0436\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u044d\u0440\u0438\u0442\u0440\u043e\u0446\u0438\u0442\u043e\u0432?<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0420\u0415\u0428\u0415\u041d\u0418\u0415: <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>\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435<\/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;\">\u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u0441\u0435\u0431\u0435 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u043f\u0440\u043e\u0446\u0435\u0441\u0441<\/span><\/strong><\/a> (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0449\u0438\u0439\u0441\u044f \u0431\u0440\u043e\u0441\u043e\u043a \u043c\u043e\u043d\u0435\u0442\u044b). \u0415\u0441\u043b\u0438 \u0432\u043c\u0435\u0441\u0442\u043e \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u0441\u043f\u0440\u0430\u0448\u0438\u0432\u0430\u0442\u044c \u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0435 \u0443\u0441\u043f\u0435\u0445\u043e\u0432 \u043f\u043e\u0441\u043b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0451\u043d\u043d\u043e\u0433\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u043f\u043e\u043f\u044b\u0442\u043e\u043a, \u0432\u044b \u0441\u043f\u0440\u0430\u0448\u0438\u0432\u0430\u0435\u0442\u0435 \u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u043e\u043f\u044b\u0442\u043e\u043a, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043d\u0443\u0436\u043d\u043e \u0441\u043e\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u0434\u043b\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0441\u043f\u0435\u0445\u0430, \u0442\u043e \u043f\u0435\u0440\u0435\u0434 \u0432\u0430\u043c\u0438 \u0431\u0443\u0434\u0435\u0442 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u0430\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0441 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c. \u0421\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0438\u043c\u0435\u0435\u0442 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Ge(p),<\/span><\/span> \u0435\u0441\u043b\u0438:<\/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>\u041f\u0420\u0418\u041c\u0415\u0420:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0412\u044b \u0438 \u0432\u0430\u0448 \u0434\u0440\u0443\u0433 \u0438\u0433\u0440\u0430\u0435\u0442\u0435 \u0432 \u0440\u0443\u0441\u0441\u043a\u0443\u044e \u0440\u0443\u043b\u0435\u0442\u043a\u0443 \u0441 \u0440\u0435\u0432\u043e\u043b\u044c\u0432\u0435\u0440\u043e\u043c \u043d\u0430 6 \u043e\u0442\u0441\u0435\u043a\u043e\u0432 \u0438 \u043e\u0434\u043d\u0438\u043c \u043d\u0430\u0441\u0442\u043e\u044f\u0449\u0438\u043c \u043f\u0430\u0442\u0440\u043e\u043d\u043e\u043c. \u041a\u0430\u0436\u0434\u044b\u0439 \u0440\u0430\u0437, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0441\u043f\u0443\u0441\u043a\u0430\u0435\u0442\u0435 \u043a\u0443\u0440\u043e\u043a \u0438 \u043f\u0443\u043b\u044f \u043d\u0435 \u0432\u044b\u0445\u043e\u0434\u0438\u0442, \u0431\u0430\u0440\u0430\u0431\u0430\u043d \u043f\u0435\u0440\u0435\u043c\u0435\u0448\u0438\u0432\u0430\u0435\u0442\u0441\u044f, \u0438 \u043e\u0440\u0443\u0436\u0438\u0435 \u043f\u0435\u0440\u0435\u0434\u0430\u0451\u0442\u0441\u044f \u0434\u0440\u0443\u0433\u0443 \u0434\u043b\u044f \u0435\u0433\u043e \u0445\u043e\u0434\u0430. \u041f\u0440\u0438 \u044d\u0442\u043e\u043c \u0443\u0441\u043b\u043e\u0432\u0438\u0438, \u043a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0443\u043c\u0435\u0440\u0435\u0442\u044c \u0432:<\/strong><\/em>\n        <\/p>\n<ul>\n<li>\u0432\u0430\u0448\u0435\u0439 \u043f\u0435\u0440\u0432\u043e\u0439 \u043f\u043e\u043f\u044b\u0442\u043a\u0435?<\/li>\n<li>\u0432\u0430\u0448\u0435\u0439 \u0432\u0442\u043e\u0440\u043e\u0439 \u043f\u043e\u043f\u044b\u0442\u043a\u0435?<\/li>\n<\/ul>\n<p>        <span style=\"color: #008000;\"><strong>\u0420\u0415\u0428\u0415\u041d\u0418\u0415: <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>\u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435<\/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;\">\u041f\u043e\u0434\u043e\u0431\u043d\u043e\u0435 \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u043c\u0443<\/span><\/strong><\/a> \u044d\u0442\u043e \u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0411\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u043d\u043e \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0431\u043e\u043b\u0435\u0435 \u043e\u0431\u0449\u0435\u0435. \u041a\u043e\u0433\u0434\u0430 \u0432\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0435 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u043f\u0440\u043e\u0446\u0435\u0441\u0441 (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0431\u0440\u043e\u0441\u0430\u0435\u0442\u0435 \u043c\u043e\u043d\u0435\u0442\u0443) \u0438 \u0432\u043c\u0435\u0441\u0442\u043e \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u0441\u043f\u0440\u0430\u0448\u0438\u0432\u0430\u0442\u044c \u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0435 \u0443\u0441\u043f\u0435\u0445\u043e\u0432, \u0441\u043f\u0440\u0430\u0448\u0438\u0432\u0430\u0435\u0442\u0435 \u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u043e\u043f\u044b\u0442\u043e\u043a, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432\u044b \u0441\u043e\u0432\u0435\u0440\u0448\u0430\u0435\u0442\u0435 \u0434\u043e \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f m-\u0433\u043e \u0443\u0441\u043f\u0435\u0445\u0430, \u0442\u043e \u043f\u0435\u0440\u0435\u0434 \u0432\u0430\u043c\u0438 \u0431\u0443\u0434\u0435\u0442 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u0430\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0441 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u043c \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c. \u0415\u0441\u043b\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0438\u043c\u0435\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Bn(m,p),<\/span><\/span> \u0442\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f:<\/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>\u041f\u0420\u0418\u041c\u0415\u0420:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0411\u0440\u043e\u0441\u0430\u044e\u0442 12-\u0433\u0440\u0430\u043d\u043d\u044b\u0439 \u043a\u0443\u0431\u0438\u043a. \u0421\u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f \u00ab\u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u00bb \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b\u043f\u0430\u0434\u0435\u0442 1 \u0438\u043b\u0438 12. \u041a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0442\u0440\u0435\u0442\u0438\u0439 \u00ab\u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439\u00bb \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432 \u043f\u044f\u0442\u043e\u0439 \u043f\u043e\u043f\u044b\u0442\u043a\u0435?<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0420\u0415\u0428\u0415\u041d\u0418\u0415: <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>\u0413\u0438\u043f\u0435\u0440\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435<\/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;\">\u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435, \u0447\u0442\u043e \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u043c\u0435\u0448\u043e\u043a<\/span><\/strong><\/a> \u0441 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">N<\/span><\/span> \u0446\u0432\u0435\u0442\u043d\u044b\u0445 \u0448\u0430\u0440\u0438\u043a\u043e\u0432, \u0438\u0437 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">M<\/span><\/span> \u0431\u0435\u043b\u044b\u0435, \u0430 \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u0447\u0451\u0440\u043d\u044b\u0435. \u0415\u0441\u043b\u0438 \u0438\u0437 \u044d\u0442\u043e\u0433\u043e \u043c\u0435\u0448\u043a\u0430 \u0432\u044b \u0434\u043e\u0441\u0442\u0430\u0451\u0442\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0448\u0430\u0440\u0438\u043a\u043e\u0432 (\u0431\u0435\u0437 \u0432\u043e\u0437\u0432\u0440\u0430\u0449\u0435\u043d\u0438\u044f), \u0442\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0431\u0435\u043b\u044b\u0445 \u0448\u0430\u0440\u0438\u043a\u043e\u0432 \u0431\u0443\u0434\u0435\u0442 \u0441\u0432\u044f\u0437\u0430\u043d\u043e \u0441 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u043e\u0439 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0441 \u0433\u0438\u043f\u0435\u0440\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c. \u0415\u0441\u043b\u0438 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0438\u043c\u0435\u0435\u0442 \u0433\u0438\u043f\u0435\u0440\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X\\sim Hg(N,M,n),<\/span><\/span> \u0442\u043e:<\/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>\u041f\u0420\u0418\u041c\u0415\u0420:<\/strong><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\n          <em><strong>\u0412 \u043a\u0443\u0440\u0441\u0435 \u0438\u0437 30 \u0447\u0435\u043b\u043e\u0432\u0435\u043a 12 \u043c\u0443\u0436\u0447\u0438\u043d \u0438 18 \u0436\u0435\u043d\u0449\u0438\u043d. \u0415\u0441\u043b\u0438 \u0432\u044b\u0431\u0440\u0430\u0442\u044c \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0433\u0440\u0443\u043f\u043f\u0443 \u0438\u0437 7 \u0447\u0435\u043b\u043e\u0432\u0435\u043a, \u043a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c, \u0447\u0442\u043e 5 \u0438\u0437 \u043d\u0438\u0445 \u0431\u0443\u0434\u0443\u0442 \u043c\u0443\u0436\u0447\u0438\u043d\u0430\u043c\u0438?<\/strong><\/em>\n        <\/p>\n<p>        <span style=\"color: #008000;\"><strong>\u0420\u0415\u0428\u0415\u041d\u0418\u0415: <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>\u041f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0435 \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\u041c\u0430\u0433\u0430\u0437\u0438\u043d \u043d\u0430\u0441\u0442\u043e\u043b\u044c\u043d\u044b\u0445 \u0438\u0433\u0440 \u043f\u0440\u043e\u0434\u0430\u0435\u0442 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u043a\u0430\u0440\u0442\u044b \u0438\u0437 \u043f\u0430\u0440\u0442\u0438\u0438 \u0432 500 \u043a\u043e\u043b\u043b\u0435\u043a\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u043a\u0430\u0440\u0442 (\u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0447\u0442\u043e \u044d\u0442\u043e \u043a\u0430\u0440\u0442\u044b \u043c\u0438\u0444\u043e\u0432, \u043c\u0430\u0433\u0438\u0438, \u043f\u043e\u043a\u0435\u043c\u043e\u043d\u043e\u0432 \u0438\u043b\u0438 \u043b\u044e\u0431\u043e\u0433\u043e \u0434\u0440\u0443\u0433\u043e\u0433\u043e TCG). \u0415\u0441\u043b\u0438 \u043f\u0440\u043e\u0434\u0430\u0432\u0435\u0446 \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u0435\u0442 \u043d\u0430\u043b\u0438\u0447\u0438\u0435 \u0432 \u043e\u0431\u0449\u0435\u0439 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u0438 450 \u043e\u0431\u044b\u0447\u043d\u044b\u0445 \u043a\u0430\u0440\u0442 (\u043d\u0438\u0437\u043a\u043e\u0439 \u0441\u0442\u043e\u0438\u043c\u043e\u0441\u0442\u0438) \u0438 50 \u0440\u0435\u0434\u043a\u0438\u0445 \u043a\u0430\u0440\u0442 (\u0432\u044b\u0441\u043e\u043a\u043e\u0439 \u0441\u0442\u043e\u0438\u043c\u043e\u0441\u0442\u0438), \u043a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c 3 \u0440\u0435\u0434\u043a\u0438\u0435 \u043a\u0430\u0440\u0442\u044b \u043f\u0440\u0438 \u043f\u043e\u043a\u0443\u043f\u043a\u0435 20 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u043a\u0430\u0440\u0442?<\/li>\n<li>\n<p>\u0418\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043a\u0430\u0440\u0442\u0443 \u0432 \u0438\u0433\u0440\u0435:<\/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: \u0411\u0440\u043e\u0441\u044c\u0442\u0435 \u043c\u043e\u043d\u0435\u0442\u0443 \u0434\u043e \u0442\u0435\u0445 \u043f\u043e\u0440, \u043f\u043e\u043a\u0430 \u043d\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0435 \u0433\u0435\u0440\u0431. \u0417\u0430 \u043a\u0430\u0436\u0434\u0443\u044e \u0441\u0442\u043e\u0440\u043e\u043d\u0443 \u043e\u0442\u0431\u0440\u043e\u0441\u044c\u0442\u0435 \u043e\u0434\u043d\u0443 \u043a\u0430\u0440\u0442\u0443 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u0438\u043a\u0430\" 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: \u0411\u0440\u043e\u0441\u044c\u0442\u0435 \u043c\u043e\u043d\u0435\u0442\u0443 \u0434\u043e \u0442\u0435\u0445 \u043f\u043e\u0440, \u043f\u043e\u043a\u0430 \u043d\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0435 \u0433\u0435\u0440\u0431. \u0417\u0430 \u043a\u0430\u0436\u0434\u0443\u044e \u0441\u0442\u043e\u0440\u043e\u043d\u0443 \u043e\u0442\u0431\u0440\u043e\u0441\u044c\u0442\u0435 \u043e\u0434\u043d\u0443 \u043a\u0430\u0440\u0442\u0443 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u0438\u043a\u0430\" class=\"alignnone lazyload\" width=\"237\" height=\"331\" \/><\/noscript><\/p>\n<p>\u041a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043e\u0442\u0431\u0440\u043e\u0441\u0438\u0442\u044c 4 \u043a\u0430\u0440\u0442\u044b \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u0438\u043a\u0430?<\/p>\n<\/li>\n<li>\u0412 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u043c \u043c\u0430\u0433\u0430\u0437\u0438\u043d\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043f\u0440\u043e\u0434\u0430\u0442\u044c \u0443\u0441\u0442\u0440\u043e\u0439\u0441\u0442\u0432\u043e \u0441 \u0437\u0430\u0432\u043e\u0434\u0441\u043a\u0438\u043c \u0434\u0435\u0444\u0435\u043a\u0442\u043e\u043c \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 2%. \u041a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0434\u0435\u0441\u044f\u0442\u043e\u0435 \u043f\u0440\u043e\u0434\u0430\u043d\u043d\u043e\u0435 \u0443\u0441\u0442\u0440\u043e\u0439\u0441\u0442\u0432\u043e \u0431\u0443\u0434\u0435\u0442 \u0442\u0440\u0435\u0442\u044c\u0438\u043c \u0441 \u0434\u0435\u0444\u0435\u043a\u0442\u043e\u043c?<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0420\u0435\u0437\u044e\u043c\u0435 \u041d\u0430 \u044d\u0442\u043e\u043c \u0437\u0430\u043d\u044f\u0442\u0438\u0438 \u043c\u044b \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u0438\u0437\u0443\u0447\u0438\u043c \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u0438\u0445 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0447\u0435\u0440\u0435\u0437 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u044b\u0435 \u0438 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u044b\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430. \u0411\u0443\u0434\u0443\u0442 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u044b \u043f\u044f\u0442\u044c \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0434\u0438\u0441\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438: \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0438\u043b\u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0411\u0435\u0440\u043d\u0443\u043b\u043b\u0438, \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430, \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435, \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0438 \u0433\u0438\u043f\u0435\u0440\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u043a\u0430\u0436\u0434\u043e\u0435 \u0438\u0437 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u043e\u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u043c\u0438 \u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0432 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26832,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":37,"footnotes":""},"categories":[680,573],"tags":[],"class_list":["post-26856","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-680","category-573"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - 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