{"id":28038,"date":"2021-11-05T13:00:12","date_gmt":"2021-11-05T13:00:12","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28038"},"modified":"2024-08-18T07:12:36","modified_gmt":"2024-08-18T07:12:36","slug":"%d9%83%d9%8a%d9%81-%d8%aa%d8%ad%d8%b3%d8%a8-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d8%b7%d8%a8%d9%8a%d8%b9%d9%8a-%d8%a8%d8%a7%d8%b3%d8%aa%d8%ae%d8%af%d8%a7%d9%85-%d8%a7%d9%84%d8%ac","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d9%83%d9%8a%d9%81-%d8%aa%d8%ad%d8%b3%d8%a8-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d8%b7%d8%a8%d9%8a%d8%b9%d9%8a-%d8%a8%d8%a7%d8%b3%d8%aa%d8%ae%d8%af%d8%a7%d9%85-%d8%a7%d9%84%d8%ac\/","title":{"rendered":"\u0643\u064a\u0641 \u062a\u062d\u0633\u0628 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644\u061f"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n  <center><\/p>\n<h1>\u0643\u064a\u0641 \u062a\u062d\u0633\u0628 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644\u061f<\/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\u0646\u0627\u0642\u0634 \u0645\u0648\u0636\u0648\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u060c \u0648\u0647\u0648 \u0648\u0627\u062d\u062f \u0645\u0646 \u0623\u0643\u062b\u0631 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0634\u064a\u0648\u0639\u064b\u0627 \u0641\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a. \u0633\u0646\u062d\u0644\u0644 \u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0644\u0645\u062a\u063a\u064a\u0631 \u0639\u0634\u0648\u0627\u0626\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0645\u0639 \u0645\u0639\u0644\u0645\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu<\/span><\/span> \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sigma<\/span><\/span> \u0623\u0646 \u064a\u062a\u0628\u0639 \u062a\u0648\u0632\u064a\u0639\u064b\u0627 \u0637\u0628\u064a\u0639\u064a\u064b\u0627\u060c \u0648\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u062a\u0648\u062d\u064a\u062f \u0647\u0630\u0627 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0625\u062c\u0631\u0627\u0621 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0641\u064a \u0627\u0644\u062a\u0643\u0627\u0645\u0644. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0633\u0646\u0644\u0627\u062d\u0638 \u0623\u0646\u0647 \u0628\u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0627\u0644\u062a\u0628\u0633\u064a\u0637 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0648\u062d\u064a\u062f\u060c \u064a\u0638\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u062a\u062d\u0644\u064a\u0644\u064a\u064b\u0627 \u062a\u062d\u062f\u064a\u064b\u0627\u060c \u062d\u064a\u062b \u0644\u0627 \u062a\u0648\u062c\u062f \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u062c\u0628\u0631\u064a\u0629 \u064a\u0645\u0643\u0646\u0647\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0646\u062a\u064a\u062c\u062a\u0647. \u0644\u0644\u062a\u063a\u0644\u0628 \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u0633\u0646\u0642\u062f\u0645 \u062c\u062f\u0648\u0644\u064b\u0627 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0648\u062d\u062f \u062a\u0645 \u0625\u0646\u0634\u0627\u0624\u0647 \u0641\u064a Excel\u060c \u0648\u0627\u0644\u0630\u064a \u064a\u0642\u062f\u0645 \u062a\u0642\u0631\u064a\u0628\u064b\u0627 \u0631\u0642\u0645\u064a\u064b\u0627 \u0644\u0642\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629. \u0633\u0646\u0634\u0631\u062d \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a\u0629 \u0643\u0645\u0633\u0627\u062d\u0627\u062a \u062a\u062d\u062a \u0627\u0644\u0645\u0646\u062d\u0646\u0649. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u062a\u062e\u062a\u062a\u0645 \u0627\u0644\u062d\u0635\u0629 \u0628\u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0643\u0632 \u0639\u0644\u0649 \u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0627\u0644\u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0648\u0641\u0643\u0631\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0648\u062d\u062f.<\/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><br \/>\n    \u0639\u0646\u062f \u0627\u0646\u062a\u0647\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:\n  <\/p>\n<ol>\n<li><strong>\u0625\u0638\u0647\u0627\u0631<\/strong> \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0648\u062d\u062f \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu<\/span><\/span> \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sigma<\/span><\/span> \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u062a\u0643\u0627\u0645\u0644\u064a.<\/li>\n<li><strong>\u062d\u0644<\/strong> \u0627\u0644\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0648\u062d\u062f.<\/li>\n<li><strong>\u0625\u0646\u0634\u0627\u0621<\/strong> \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0648\u062d\u062f \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 Excel.<\/li>\n<\/ol>\n<p>  <center><br \/>\n    <strong><u>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a:<\/u><\/strong><br \/>\n    <a href=\"#1\">\u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0648\u062d\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a<\/a><br \/>\n    <a href=\"#2\">\u0643\u064a\u0641 \u0623\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0627 \u0627\u0644\u062c\u062f\u0648\u0644\u061f<\/a><br \/>\n    <a href=\"#3\">\u062a\u0645\u0627\u0631\u064a\u0646<\/a><br \/>\n  <\/center><br \/>\n  <center><br \/>\n    <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/GdoFK696k3s\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n  <\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0648\u062d\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a<\/h2>\n<p style=\"text-align:justify;\">\u0648\u0627\u062d\u062f \u0645\u0646 <a href=\"http:\/\/toposuranos.com\/material\/es\/distribuciones-continuas-de-probabilidad\/\" rel=\"noopener\" target=\"_blank\">\u0623\u0643\u062b\u0631 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629<\/a> \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u064b\u0627 \u0641\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a. \u0645\u062a\u063a\u064a\u0631 \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 \u0637\u0628\u064a\u0639\u064a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu,\\sigma<\/span><\/span> \u0625\u0630\u0627 \u062a\u062d\u0642\u0642<\/p>\n<p class=\"eq\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(X\\leq x) =\\Phi_{\\mu,\\sigma}(x) = \\int_{-\\infty}^x \\frac{1}{\\sqrt{2\\pi}\\sigma} e^{-\\frac{1}{2} \\left(\\frac{t-\\mu}{\\sigma}\\right)^2}dt <\/span><\/span><\/p>\n<p>\u0648\u0623\u064a\u0636\u064b\u0627 <a href=\"https:\/\/www.youtube.com\/watch?v=kdxgrB1h98g&amp;t=1188s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0631\u0623\u064a\u0646\u0627<\/span><\/strong><\/a> \u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u064a\u0645\u0643\u0646 \u00ab\u062a\u0648\u062d\u064a\u062f\u0647\u00bb \u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u0625\u062c\u0631\u0627\u0621 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0641\u064a \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle z= \\frac{t-\\mu}{\\sigma},<\/span><\/span> \u0648\u0646\u062a\u064a\u062c\u0629 \u0644\u0630\u0644\u0643 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p class=\"eq\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\Phi_{\\mu,\\sigma}(x) = \\int_{-\\infty}^{\\frac{x-\\mu}{\\sigma}} \\frac{1}{\\sqrt{2\\pi}} e^{-\\frac{t^2}{2} }dt = \\Phi_{0,1}\\left(\\frac{x-\\mu}{\\sigma} \\right) <\/span><\/span><\/p>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GdoFK696k3s&amp;t=270s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u0631\u063a\u0645 \u0623\u0646 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u0648\u062d\u064a\u062f \u0647\u0630\u0647<\/strong><\/span><\/a> \u062a\u0628\u0633\u0637 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u060c \u0625\u0644\u0627 \u0623\u0646\u0647\u0627 \u0644\u0627 \u062a\u0643\u0641\u064a \u0644\u0644\u0633\u0645\u0627\u062d \u0644\u0646\u0627 \u0628\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0627\u062d\u062f \u0641\u0642\u0637 \u0644\u0647\u0630\u0627 \u0627\u0644\u062a\u0648\u0632\u064a\u0639. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0644\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0642\u064a\u064a\u0645 \u0647\u0630\u0627 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u062a\u062d\u0644\u064a\u0644\u064a\u064b\u0627\u061b \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0644\u0627 \u062a\u0648\u062c\u062f \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u062c\u0628\u0631\u064a\u0629 \u064a\u0645\u0643\u0646\u0647\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0646\u062a\u064a\u062c\u0629 \u0647\u0630\u0647 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0648\u0647\u0630\u0627 \u064a\u0636\u0639\u0646\u0627 \u0641\u064a \u0635\u0639\u0648\u0628\u0629. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0644\u062f\u064a\u0646\u0627 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0644\u0628\u0639\u0636 \u0642\u064a\u0645 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0648\u062d\u062f\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0628\u062f\u0621 \u0641\u064a \u0625\u062c\u0631\u0627\u0621 \u0628\u0639\u0636 \u0627\u0644\u062a\u0642\u062f\u064a\u0631\u0627\u062a. \u064a\u062a\u0645 \u062a\u0644\u062e\u064a\u0635 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645 \u0641\u064a \u0647\u0630\u0627 <strong>\u0627\u0644\u062c\u062f\u0648\u0644 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0648\u062d\u062f<\/strong> \u0627\u0644\u0630\u064a \u0642\u0645\u062a \u0628\u0625\u0646\u0634\u0627\u0626\u0647 \u0641\u064a Excel \u0645\u0646 \u0623\u062c\u0644\u0643 &gt;:D<\/p>\n<p><center><br \/>\n  <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26819 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26819 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png 784w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb-300x296.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb-768x758.png 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/noscript><br \/>\n  <em>\u064a\u0645\u0643\u0646\u0643 \u062a\u062d\u0645\u064a\u0644 \u0647\u0630\u0627 \u0627\u0644\u062c\u062f\u0648\u0644 \u0628\u0635\u064a\u063a\u0629 Excel \u0645\u0646 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a <a href=\"https:\/\/www.dropbox.com\/s\/9yff75b70wd75xn\/tabla%20-%20distribucion%20normal%20estandar.xlsx?dl=0\" rel=\"noopener\" target=\"_blank\">\u0627\u0644\u0631\u0627\u0628\u0637.<\/a> \u0623\u0648\u0635\u064a\u0643 \u0628\u0645\u0631\u0627\u062c\u0639\u0629 \u0647\u0630\u0627 \u0627\u0644\u0645\u0644\u0641 \u0644\u0623\u0646\u0643 \u0628\u0630\u0644\u0643 \u0633\u062a\u062a\u0639\u0644\u0645 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644\u0643 \u0627\u0644\u062e\u0627\u0635 \u0641\u064a \u062d\u0627\u0644 \u0644\u0645 \u062a\u062c\u062f \u0648\u0627\u062d\u062f\u064b\u0627 \ud83d\ude42<\/em><br \/>\n<\/center><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0643\u064a\u0641 \u0623\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0627 \u0627\u0644\u062c\u062f\u0648\u0644\u061f<\/h2>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GdoFK696k3s&amp;t=622s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0627 \u0627\u0644\u062c\u062f\u0648\u0644 \u062f\u0648\u0646 \u0635\u0639\u0648\u0628\u0629<\/strong><\/span><\/a> \u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0625\u0638\u0647\u0627\u0631 \u0627\u062d\u062a\u0645\u0627\u0644 \u062a\u0631\u0627\u0643\u0645\u064a\u060c \u0641\u0625\u0646\u0647 \u064a\u0645\u062b\u0644 \u0623\u064a\u0636\u064b\u0627 \u0645\u0633\u0627\u062d\u0629 \u062a\u062d\u062a \u0627\u0644\u0645\u0646\u062d\u0646\u0649 (\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629). \u064a\u0645\u0643\u0646\u0646\u0627 \u0631\u0624\u064a\u0629 \u0647\u0630\u0627 \u0645\u0645\u062b\u0644\u064b\u0627 \u0641\u064a \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p><center><br \/>\n  <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26820 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26820 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png 784w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab-300x296.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab-768x758.png 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/noscript><br \/>\n<\/center><\/p>\n<p style=\"text-align:justify;\">\u0628\u0639\u062f \u0641\u0647\u0645 \u0647\u0630\u0627\u060c \u0641\u0625\u0646 \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0647\u064a \u0634\u0631\u062d \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644 \u0646\u0641\u0633\u0647. \u0645\u0627 \u0646\u0631\u0627\u0647 \u0647\u0646\u0627 \u0647\u0648 \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">z<\/span><\/span> \u0627\u0644\u062a\u064a \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u0642\u064a\u064a\u0645 \u062f\u0627\u0644\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(z)<\/span><\/span> \u0639\u0644\u064a\u0647\u0627 \u062a\u0638\u0647\u0631 \u0645\u0642\u0633\u0645\u0629 \u0625\u0644\u0649 \u062c\u0632\u0623\u064a\u0646: \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0633\u062a\u062c\u062f \u062a\u0648\u0633\u0639\u0647\u0627 \u062d\u062a\u0649 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0639\u0634\u0631\u064a \u0627\u0644\u0623\u0648\u0644\u060c \u0648\u0641\u064a \u0627\u0644\u0635\u0641 \u0633\u062a\u062c\u062f \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0639\u0634\u0631\u064a \u0627\u0644\u062b\u0627\u0646\u064a\u061b \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644: \u0627\u0644\u0631\u0642\u0645 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">z=1,72<\/span><\/span> \u064a\u0645\u0643\u0646 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u064a\u0647 \u0643\u0645\u0627 \u0644\u0648 \u0643\u0627\u0646 \u0645\u0643\u0648\u0646\u064b\u0627 \u0645\u0646 \u00ab\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a\u00bb: \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629 \u0647\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1,7,<\/span><\/span> \u0648\u0627\u0644\u0623\u0641\u0642\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0,02.<\/span><\/span> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u062a\u0638\u0647\u0631 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0644\u0640<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(1,72)<\/span><\/span> \u0641\u064a \u0643\u062a\u0644\u0629 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u00ab1,7\u00bb \u0648\u00bb0,02&#8243;\u060c \u0627\u0644\u062a\u064a \u062a\u0639\u0631\u0636 \u0642\u064a\u0645\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0,957284.<\/span><\/span><\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u062a\u0645\u0627\u0631\u064a\u0646<\/h2>\n<ol>\n<li>\u0642\u0645 \u0628\u062a\u0642\u062f\u064a\u0631 \u0642\u064a\u0645\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(2,93)<\/span><\/span><\/li>\n<li>\u0642\u0645 \u0628\u062a\u0642\u062f\u064a\u0631 \u0642\u064a\u0645\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{\\mu=12,\\sigma=3}(11,5)<\/span><\/span><\/li>\n<li>\u0645\u062a\u063a\u064a\u0631 \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 \u0637\u0628\u064a\u0639\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">N(\\mu=37,\\sigma=9).<\/span><\/span> \u0627\u062d\u0633\u0628 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(35 \\lt X \\lt 43).<\/span><\/span><\/li>\n<li>\u0639\u062f\u062f \u0627\u0644\u0637\u0645\u0627\u0637\u0645 \u0627\u0644\u062a\u064a \u062a\u062a\u0639\u0641\u0646 \u064a\u0648\u0645\u064a\u064b\u0627 \u0641\u064a \u0643\u0634\u0643 \u0627\u0644\u0628\u0627\u0626\u0639 \u0627\u0644\u0645\u062a\u062c\u0648\u0644 \u0644\u0647 \u0645\u062a\u0648\u0633\u0637 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu=50<\/span><\/span> \u0648\u0627\u0646\u062d\u0631\u0627\u0641 \u0645\u0639\u064a\u0627\u0631\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sigma=15.<\/span><\/span> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0628\u0627\u0626\u0639 \u064a\u062c\u0644\u0628 \u0627\u0644\u0637\u0645\u0627\u0637\u0645 3 \u0645\u0631\u0627\u062a \u0641\u064a \u0627\u0644\u0623\u0633\u0628\u0648\u0639\u060c \u0641\u0642\u0645 \u0628\u062a\u0642\u062f\u064a\u0631 \u0639\u062f\u062f \u0627\u0644\u0623\u064a\u0627\u0645 \u0627\u0644\u062a\u064a \u0633\u064a\u062a\u0639\u0641\u0646 \u0641\u064a\u0647\u0627 \u0623\u0643\u062b\u0631 \u0645\u0646 60 \u0637\u0645\u0627\u0637\u0645 \u062e\u0644\u0627\u0644 \u0627\u0644\u0634\u0647\u0631.<\/li>\n<li>\u0627\u0641\u062a\u0631\u0636 \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X \\sim N(\\mu,\\sigma)<\/span><\/span> \u0627\u062d\u0633\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(\\mu - \\sigma \\leq X \\leq \\mu + \\sigma)<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X \\leq \\mu - \\sigma \\vee \\mu + \\sigma \\leq X)<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X \\leq \\mu - n\\sigma \\vee \\mu + n\\sigma \\leq X)<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><center><br \/>\n  <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/6tEAj-_dd_c\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n<\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0643\u064a\u0641 \u062a\u062d\u0633\u0628 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644\u061f \u0645\u0644\u062e\u0635 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u0646\u0627\u0642\u0634 \u0645\u0648\u0636\u0648\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u060c \u0648\u0647\u0648 \u0648\u0627\u062d\u062f \u0645\u0646 \u0623\u0643\u062b\u0631 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0634\u064a\u0648\u0639\u064b\u0627 \u0641\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a. \u0633\u0646\u062d\u0644\u0644 \u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0644\u0645\u062a\u063a\u064a\u0631 \u0639\u0634\u0648\u0627\u0626\u064a \u0645\u0639 \u0645\u0639\u0644\u0645\u0627\u062a \u0648 \u0623\u0646 \u064a\u062a\u0628\u0639 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26821,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":12,"footnotes":""},"categories":[676,565],"tags":[],"class_list":["post-28038","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-676","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0643\u064a\u0641 \u062a\u062d\u0633\u0628 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644\u061f - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u062a\u0639\u0644\u0651\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644 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