{"id":234,"date":"2023-08-03T19:36:43","date_gmt":"2023-08-03T19:36:43","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d1%8d%d0%ba%d1%81%d0%bf%d0%be%d0%bd%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%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%d0%b5-1\/"},"modified":"2023-08-03T19:36:43","modified_gmt":"2023-08-03T19:36:43","slug":"%d1%8d%d0%ba%d1%81%d0%bf%d0%be%d0%bd%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%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%d0%b5-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d1%8d%d0%ba%d1%81%d0%bf%d0%be%d0%bd%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%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%d0%b5-1\/","title":{"rendered":"\u042d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435 \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a\u043e\u0432\u044b \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u043e\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u044e\u0431\u0443\u044e \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043e\u043d\u043b\u0430\u0439\u043d-\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-exponencial\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u042d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435<\/strong> \u2014 \u044d\u0442\u043e \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\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\u0435\u0439, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u043e\u0435 \u0434\u043b\u044f \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u043e\u0432\u0435\u043d\u0438\u044f \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0433\u043e \u044f\u0432\u043b\u0435\u043d\u0438\u044f.<\/p>\n<p> \u0422\u043e\u0447\u043d\u0435\u0435, \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043d\u0430\u043c \u043e\u043f\u0438\u0441\u0430\u0442\u044c \u0432\u0440\u0435\u043c\u044f \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0441\u043e\u0431\u044b\u0442\u0438\u044f\u043c\u0438, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \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. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0442\u0435\u0441\u043d\u043e \u0441\u0432\u044f\u0437\u0430\u043d\u043e \u0441 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0421\u043c.:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u0440\u044b\u0431\u043d\u044b\u0438-\u0437\u0430\u043a\u043e\u043d\/\">\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u041f\u0443\u0430\u0441\u0441\u043e\u043d\u0430?<\/a><\/div>\n<p> \u042d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u043c\u0435\u0435\u0442 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u044b\u0439 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0439 \u0433\u0440\u0435\u0447\u0435\u0441\u043a\u043e\u0439 \u0431\u0443\u043a\u0432\u043e\u0439 \u03bb \u0438 \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0449\u0438\u0439, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0440\u0430\u0437 \u043e\u0436\u0438\u0434\u0430\u0435\u043c\u043e\u0435 \u0441\u043e\u0431\u044b\u0442\u0438\u0435 \u043f\u0440\u043e\u0438\u0437\u043e\u0439\u0434\u0435\u0442 \u0432 \u0442\u0435\u0447\u0435\u043d\u0438\u0435 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u043f\u0435\u0440\u0438\u043e\u0434\u0430 \u0432\u0440\u0435\u043c\u0435\u043d\u0438.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05fa833356caeb193384f780ae4edac1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Exp}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0442\u0430\u043a\u0436\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u0434\u043e \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u043e\u0432\u0435\u043d\u0438\u044f \u0441\u0431\u043e\u044f. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u043c\u0435\u0435\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0439 \u0432 \u0442\u0435\u043e\u0440\u0438\u0438 \u043d\u0430\u0434\u0435\u0436\u043d\u043e\u0441\u0442\u0438 \u0438 \u0432\u044b\u0436\u0438\u0432\u0430\u043d\u0438\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-distribuciones-exponenciales\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u0447\u0442\u043e\u0431\u044b \u043b\u0443\u0447\u0448\u0435 \u043f\u043e\u043d\u044f\u0442\u044c \u044d\u0442\u0443 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e.<\/p>\n<p> <strong><u style=\"text-decoration-color:#FF8A05\">\u041f\u0440\u0438\u043c\u0435\u0440\u044b \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f:<\/u><\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0412\u0440\u0435\u043c\u044f, \u043f\u0440\u043e\u0448\u0435\u0434\u0448\u0435\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0437\u0432\u043e\u043d\u043a\u0430\u043c\u0438 \u0432 \u043a\u043e\u043b\u043b-\u0446\u0435\u043d\u0442\u0440.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0412\u0440\u0435\u043c\u044f, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0447\u0435\u043b\u043e\u0432\u0435\u043a \u0434\u043e\u043b\u0436\u0435\u043d \u0436\u0434\u0430\u0442\u044c, \u043f\u043e\u043a\u0430 \u043f\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u0443\u043b\u0438\u0446\u0435 \u043f\u0440\u043e\u0435\u0434\u0435\u0442 \u0431\u0435\u0441\u043f\u043b\u0430\u0442\u043d\u043e\u0435 \u0442\u0430\u043a\u0441\u0438.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0412\u0440\u0435\u043c\u044f \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f, \u043f\u043e\u043a\u0430 \u0432 \u043c\u0430\u0433\u0430\u0437\u0438\u043d \u043d\u0435 \u0437\u0430\u0439\u0434\u0435\u0442 \u043d\u043e\u0432\u044b\u0439 \u043f\u043e\u043a\u0443\u043f\u0430\u0442\u0435\u043b\u044c.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0412\u0440\u0435\u043c\u044f, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044f\u043c\u0438, \u0437\u0430\u0445\u043e\u0434\u044f\u0449\u0438\u043c\u0438 \u043d\u0430 \u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0443.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0412 \u0430\u044d\u0440\u043e\u043f\u043e\u0440\u0442\u0443 \u043f\u0440\u043e\u0448\u043b\u043e \u0432\u0440\u0435\u043c\u044f \u043c\u0435\u0436\u0434\u0443 \u0432\u0437\u043b\u0435\u0442\u043e\u043c \u043e\u0434\u043d\u043e\u0433\u043e \u0441\u0430\u043c\u043e\u043b\u0435\u0442\u0430 \u0438 \u0432\u044b\u043b\u0435\u0442\u043e\u043c \u0434\u0440\u0443\u0433\u043e\u0433\u043e.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-exponencial\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u0438, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0430\u044f \u0440\u0430\u0441\u0447\u0435\u0442 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u0440\u0430\u0432\u043d\u0430 \u03bb, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u043c\u0443 \u043d\u0430 \u0447\u0438\u0441\u043b\u043e e \u0432 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u03bb, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u043d\u0430 x.<\/p>\n<p> \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<\/strong> \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/formule-de-distribution-exponentielle.png\" alt=\"\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\" class=\"wp-image-4891\" width=\"252\" height=\"252\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u043d\u0438\u0436\u0435, \u0447\u0442\u043e\u0431\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043f\u043e\u0434\u0447\u0438\u043d\u044f\u0435\u0442\u0441\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e.<\/u><\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u043e\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff4b15c1307aa0187d806d3aa9c394d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-e^{-\\lambda x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-exponencial\"><\/span> \u0413\u0440\u0430\u0444\u0438\u043a \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f.<\/p>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u03bb. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-graphique-exponentielle.png\" alt=\"\u0433\u0440\u0430\u0444\u0438\u043a \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\" class=\"wp-image-4897\" width=\"604\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u0436\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u03bb, \u043a\u0430\u043a \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u0435: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-exponentielle-probabilite-cumulative.png\" alt=\"\u0433\u0440\u0430\u0444\u0438\u043a \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f\" class=\"wp-image-4898\" width=\"604\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-exponencial\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043e\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u043d\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> \u0412 \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u03bb=1 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u0439\/\u043c\u0438\u043d \u043f\u043e\u0441\u0435\u0449\u0430\u044e\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0443\u044e \u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0443. \u041a\u0430\u043a\u043e\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0432\u0440\u0435\u043c\u044f \u043c\u0435\u0436\u0434\u0443 \u0432\u0445\u043e\u0434\u043e\u043c \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u0439 \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442 3 \u043c\u0438\u043d\u0443\u0442\u044b? \u0410 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u043e\u043d\u043e \u0440\u0430\u0432\u043d\u043e \u0438\u043b\u0438 \u043c\u0435\u043d\u044c\u0448\u0435 2 \u043c\u0438\u043d\u0443\u0442?<\/li>\n<\/ul>\n<p> \u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0435\u0435 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0443\u044e \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u043c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u044b \u0438\u0437\u0443\u0447\u0430\u0435\u043c \u0432\u0440\u0435\u043c\u044f, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0441 \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u043e\u0432\u0435\u043d\u0438\u044f \u0441\u043e\u0431\u044b\u0442\u0438\u044f (\u0437\u0430\u0445\u043e\u0434\u0430 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044f \u043d\u0430 \u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0443) \u0434\u043e \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u043f\u043e\u0432\u0442\u043e\u0440\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0436\u0435 \u0441\u043e\u0431\u044b\u0442\u0438\u044f.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a843576c35aa4a4062a40dfed3da7ffe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Exp}(1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0432\u0440\u0435\u043c\u044f, \u043f\u0440\u043e\u0448\u0435\u0434\u0448\u0435\u0435 \u043c\u0435\u0436\u0434\u0443 \u0432\u0445\u043e\u0434\u043e\u043c \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u0439, \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442 \u0442\u0440\u0438 \u043c\u0438\u043d\u0443\u0442\u044b, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u0438 (\u0441\u043c. \u0432\u044b\u0448\u0435):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4eb2d6e5190f313d74831763613683ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\lambda e^{-\\lambda x}\\\\[2ex]P[X=3]&amp;=1\\cdot e^{-1\\cdot 3}\\\\[2ex]P[X=3]&amp;=0,05\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u0443\u044e \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5ff6ef636fd31aec708b387669a68b93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X\\leq x]&amp;=1- e^{-\\lambda x}\\\\[2ex]P[X\\leq 2]&amp;=1-e^{-1\\cdot 2}\\\\[2ex]P[X\\leq 2]&amp;=0,86\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-exponencial\"><\/span> \u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u042d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> \u042d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u043c\u0435\u0435\u0442 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u044b\u0439 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u03bb, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0440\u0430\u0437 \u043e\u0436\u0438\u0434\u0430\u0435\u0442\u0441\u044f \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u043e\u0432\u0435\u043d\u0438\u0435 \u0438\u0437\u0443\u0447\u0430\u0435\u043c\u043e\u0433\u043e \u044f\u0432\u043b\u0435\u043d\u0438\u044f \u0432 \u0442\u0435\u0447\u0435\u043d\u0438\u0435 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0433\u043e \u043f\u0435\u0440\u0438\u043e\u0434\u0430 \u0432\u0440\u0435\u043c\u0435\u043d\u0438.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05fa833356caeb193384f780ae4edac1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Exp}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u042d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u0442\u044c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0432\u0441\u0435\u0445 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b, \u0431\u043e\u043b\u044c\u0448\u0438\u0445 \u0438\u043b\u0438 \u0440\u0430\u0432\u043d\u044b\u0445 \u043d\u0443\u043b\u044e.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-857b41e1aa6e3fc962595eabd52a18e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in [0,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"91\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0421\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u043e \u0435\u0434\u0438\u043d\u0438\u0446\u0435, \u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u03bb.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6a805fe49674e7a84b44057fbd17dfe4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\cfrac{1}{\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"77\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0414\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443 \u0435\u0433\u043e \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430 \u03bb, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d3e1c6b567a5c0c7f78d58da0920163f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{1}{\\lambda^2 }\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041a\u0430\u043a\u0438\u043c \u0431\u044b \u043d\u0438 \u0431\u044b\u043b\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u03bb, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0430\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0433\u0434\u0430 \u0440\u0430\u0432\u0435\u043d 2.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-43776536b020abda26e5455770a96cfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=2\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u044d\u043a\u0441\u0446\u0435\u0441\u0441\u0430 \u043b\u044e\u0431\u043e\u0433\u043e \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0433\u0434\u0430 \u0440\u0430\u0432\u0435\u043d 9.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a42692dc0052ffa4b4f5b962b9b7ee8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=9\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043b\u043e\u0442\u043d\u043e\u0441\u0442\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1fbbfe61ec775833503ec58212783f3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=\\lambda e^{-\\lambda x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0412 \u0442\u043e \u0432\u0440\u0435\u043c\u044f \u043a\u0430\u043a \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff4b15c1307aa0187d806d3aa9c394d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq x]=1-e^{-\\lambda x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u042d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u2014 \u043e\u0434\u043d\u043e \u0438\u0437 \u043d\u0435\u043c\u043d\u043e\u0433\u0438\u0445 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0441\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e\u043c \u043d\u0435\u0445\u0432\u0430\u0442\u043a\u0438 \u043f\u0430\u043c\u044f\u0442\u0438. \u042d\u0442\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u043e\u0432\u0435\u043d\u0438\u0435 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e \u0441\u043e\u0431\u044b\u0442\u0438\u044f \u043d\u0435 \u0432\u043b\u0438\u044f\u0435\u0442 \u043d\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u044d\u0442\u043e \u0441\u043e\u0431\u044b\u0442\u0438\u0435 \u043f\u0440\u043e\u0438\u0437\u043e\u0439\u0434\u0435\u0442 \u0432 \u0431\u0443\u0434\u0443\u0449\u0435\u043c. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043f\u0440\u0438 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u043c \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u043d\u043e\u0432\u044b\u0439 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044c \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u0434\u043e\u0441\u0442\u0443\u043f \u043a \u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u0435\u043d\u0435\u0435 \u0447\u0435\u043c \u0437\u0430 \u043c\u0438\u043d\u0443\u0442\u0443, \u043d\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0442\u043e\u0433\u043e, \u0432\u043e\u0448\u0435\u043b \u043b\u0438 \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0438\u043b\u0438 \u0441 \u0442\u0435\u0445 \u043f\u043e\u0440 \u043d\u0438 \u043e\u0434\u0438\u043d \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044c \u043d\u0435 \u0437\u0430\u0445\u043e\u0434\u0438\u043b. \u0431\u043e\u043b\u0435\u0435 \u0434\u0435\u0441\u044f\u0442\u0438 \u043c\u0438\u043d\u0443\u0442. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6f7c755e5b48eb203c51c97d7bc7ec7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X>x+y|X>y]=P[X>x]&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;19&#8243; width=&#187;254&#8243; style=&#187;vertical-align: -5px;&#187;><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-exponencial\"><\/span> \u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412\u0432\u0435\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 <em>\u03bb<\/em> \u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 <em>x<\/em> \u0432 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440, \u0447\u0442\u043e\u0431\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c. \u0412\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0431\u0440\u0430\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u0432\u044b \u0445\u043e\u0442\u0438\u0442\u0435 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c, \u0438 \u0432\u0432\u0435\u0441\u0442\u0438 \u0447\u0438\u0441\u043b\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0442\u043e\u0447\u043a\u0443 \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 0,50.<\/p>\n<form action=\"\" method=\"post\">\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> \u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f682847720652fc976a036d9b8779f83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda = \" 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class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X=\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p><input name=\"xigual\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcolaizquierda\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-305e8313d9decdf3d650c7f6898a8430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\leq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmenor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcoladerecha\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a8500b9856a735bc31ea1a371fc0fe88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\geq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmayor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probentre\"><input name=\"xentre1\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4459b2c5c9a9dd4efd3c3c155cb80bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\leq X\\leq \" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"52\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xentre2\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 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