{"id":232,"date":"2023-08-03T20:48:38","date_gmt":"2023-08-03T20:48:38","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%a6%e0%a5%8d%e0%a4%b5%e0%a4%bf%e0%a4%aa%e0%a4%a6-%e0%a4%ac%e0%a4%82%e0%a4%9f%e0%a4%a8-1\/"},"modified":"2023-08-03T20:48:38","modified_gmt":"2023-08-03T20:48:38","slug":"%e0%a4%a6%e0%a5%8d%e0%a4%b5%e0%a4%bf%e0%a4%aa%e0%a4%a6-%e0%a4%ac%e0%a4%82%e0%a4%9f%e0%a4%a8-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%a6%e0%a5%8d%e0%a4%b5%e0%a4%bf%e0%a4%aa%e0%a4%a6-%e0%a4%ac%e0%a4%82%e0%a4%9f%e0%a4%a8-1\/","title":{"rendered":"\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923"},"content":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u092e\u0947\u0902 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u0938 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f \u0906\u092a\u0915\u094b \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e, \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u0914\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0917\u0941\u0923 \u092e\u093f\u0932\u0947\u0902\u0917\u0947\u0964 \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u0906\u092a \u0911\u0928\u0932\u093e\u0907\u0928 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0938\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-binomial\"><\/span> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923<\/strong> \u090f\u0915 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0939\u0948 \u091c\u094b \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0928\u093f\u0930\u0902\u0924\u0930 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u0938\u093e\u0925 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930, \u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0928\u093f\u0937\u094d\u092a\u093e\u0926\u093f\u0924 \u0915\u0930\u0924\u0947 \u0938\u092e\u092f \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902, \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u090f\u0915 \u0910\u0938\u093e \u0935\u093f\u0924\u0930\u0923 \u0939\u0948 \u091c\u094b \u092c\u0930\u094d\u0928\u094c\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u0915\u094d\u0930\u092e \u0915\u0947 \u0938\u092b\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u092f\u093e\u0926 \u0930\u0916\u0947\u0902 \u0915\u093f \u092c\u0930\u094d\u0928\u094c\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u090f\u0915 \u0910\u0938\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0926\u094b \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u0948\u0902: &#8220;\u0938\u092b\u0932\u0924\u093e&#8221; \u0914\u0930 &#8220;\u0905\u0938\u092b\u0932\u0924\u093e&#8221;\u0964 \u0907\u0938\u0932\u093f\u090f, \u092f\u0926\u093f &#8220;\u0938\u092b\u0932\u0924\u093e&#8221; \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e <em>p<\/em> \u0939\u0948, \u0924\u094b &#8220;\u0905\u0938\u092b\u0932\u0924\u093e&#8221; \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e <em>q=1-p<\/em> \u0939\u0948\u0964<\/p>\n<p> \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0924\u094c\u0930 \u092a\u0930, \u0915\u093f\u090f \u0917\u090f \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 <em>n<\/em> \u0938\u0947 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u092c\u0915\u093f <em>p<\/em> \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0940 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u090f\u0915 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u091c\u094b \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0905\u0928\u0941\u0938\u0930\u0923 \u0915\u0930\u0924\u093e \u0939\u0948 \u0909\u0938\u0947 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0932\u093f\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/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-2f2b2be5bfe6c63bd13c552f4c893f59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(n,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u092e\u0947\u0902, \u090f\u0915 \u0939\u0940 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u094b <em>n<\/em> \u092c\u093e\u0930 \u0926\u094b\u0939\u0930\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u092a\u094d\u0930\u092f\u094b\u0917 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u0907\u0938\u0932\u093f\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0940 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0938\u092e\u093e\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948 <em>(\u092a\u0940)<\/em> \u0964<\/p>\n<p> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u094b <strong>\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923<\/strong> \u092d\u0940 \u0915\u0939\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-distribucion-binomial\"><\/span> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0909\u0926\u093e\u0939\u0930\u0923<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u090f\u0915 \u092c\u093e\u0930 \u091c\u092c \u0939\u092e\u0928\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0926\u0947\u0916 \u0932\u0940, \u0924\u094b \u0939\u092e \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u092c\u0947\u0939\u0924\u0930 \u0922\u0902\u0917 \u0938\u0947 \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u092a\u093e\u0932\u0928 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u091a\u0930 \u0915\u0947 \u0915\u0908 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u0947\u0916\u0947\u0902\u0917\u0947\u0964<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b 25 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u0939\u0947\u0921 \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0964<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u090f\u0915 \u092c\u093e\u0938\u094d\u0915\u0947\u091f\u092c\u0949\u0932 \u0916\u093f\u0932\u093e\u0921\u093c\u0940 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0939\u0940 \u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \u091f\u094b\u0915\u0930\u0940 \u0915\u0940 \u0913\u0930 60 \u092c\u093e\u0930 \u0936\u0942\u091f \u0915\u0930\u0928\u0947 \u092a\u0930 \u0932\u093f\u090f \u0917\u090f \u0936\u0949\u091f\u094d\u0938 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0964<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0915\u093f\u0938\u0940 \u092a\u093e\u0938\u0947 \u0915\u094b 30 \u092c\u093e\u0930 \u0918\u0941\u092e\u093e\u0928\u0947 \u092a\u0930 \u0939\u092e\u0947\u0902 \u0938\u0902\u0916\u094d\u092f\u093e 6 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u0930\u0940\u0915\u094d\u0937\u093e \u0926\u0947\u0928\u0947 \u0935\u093e\u0932\u0947 \u0915\u0941\u0932 50 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0909\u0924\u094d\u0924\u0940\u0930\u094d\u0923 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0964<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">100 \u0909\u0924\u094d\u092a\u093e\u0926\u094b\u0902 \u0915\u0947 \u0928\u092e\u0942\u0928\u0947 \u092e\u0947\u0902 \u0926\u094b\u0937\u092a\u0942\u0930\u094d\u0923 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-binomial\"><\/span> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0938\u0942\u0924\u094d\u0930<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 <em>x, n, p \u0915\u094b \u0926\u0947\u0916\u0924\u0947 \u0939\u0941\u090f,<\/em> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u094b <em>x<\/em> \u0917\u0941\u0928\u093e <em>p <sup>x<\/sup><\/em> \u0917\u0941\u0928\u093e <em>(1-p) <sup>nx<\/sup><\/em> \u092e\u0947\u0902 <em>n<\/em> \u0915\u0940 \u0938\u0902\u092f\u094b\u091c\u0928 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/p>\n<p> \u0907\u0938\u0932\u093f\u090f, <strong>\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930<\/strong> \u0939\u0948: <\/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\/distribution-binomiale.png\" alt=\"\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0938\u0942\u0924\u094d\u0930\" class=\"wp-image-4636\" width=\"291\" height=\"290\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u0906\u092a \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0905\u0928\u0941\u0938\u0930\u0923 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u090f\u0915 \u091a\u0930 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u0917\u090f \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/u><\/p>\n<p> \u0926\u0942\u0938\u0930\u0940 \u0913\u0930, \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u0938\u0902\u091a\u092f\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0938\u092b\u0932\u0924\u093e \u0915\u0947 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0914\u0930 \u092a\u093f\u091b\u0932\u0940 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0915\u0930 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0924\u094b, \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u0938\u0902\u091a\u092f\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u0948: <\/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-e31ef4ae023b8bf51c0b6816bc787c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\sum_{k=0}^x\\begin{pmatrix}n\\\\k\\end{pmatrix}p^k(1-p)^{n-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"262\" style=\"vertical-align: -22px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-binomial\"><\/span> \u0926\u094d\u0935\u093f\u092a\u0926 \u092c\u0902\u091f\u0928 \u092a\u0930 \u0939\u0932 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0905\u092d\u094d\u092f\u093e\u0938<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> \u0939\u092e \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b 10 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0924\u0947 \u0939\u0948\u0902, 6 \u091a\u093f\u0924 \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/li>\n<\/ul>\n<p> \u0907\u0938 \u0938\u092e\u0938\u094d\u092f\u093e \u092e\u0947\u0902 \u091a\u0930 \u090f\u0915 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0905\u0928\u0941\u0938\u0930\u0923 \u0915\u0930\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0938\u092d\u0940 \u0932\u0949\u0928\u094d\u091a \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u092d\u0940 \u0938\u092e\u093e\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p> \u0928\u093f\u0938\u094d\u0938\u0902\u0926\u0947\u0939, \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 50% \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0926\u094b \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0915\u094b \u0939\u0940 \u0938\u092b\u0932\u0924\u093e \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/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-bdceac6409b69d142f23801ec85e2691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0907\u0938\u0932\u093f\u090f, \u0907\u0938 \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u0941\u0932 10 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0914\u0930 0.5 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0926\u094d\u0935\u093f\u092a\u0926 \u0939\u0948\u0964<\/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-b460c8983298ba0cf52c05f460905732_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(10 ; 0,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0907\u0938\u0932\u093f\u090f, \u091b\u0939 \u0936\u0940\u0930\u094d\u0937 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e\u0947\u0902 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0938\u0942\u0924\u094d\u0930 \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0948\u0964<\/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-17346d59c641378880b734dfe88210f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\begin{pmatrix}n\\\\x\\end{pmatrix}p^x(1-p)^{n-x}\\\\[2ex]P[X=6]&amp;=\\begin{pmatrix}10\\\\6\\end{pmatrix}0,5^6(1-0,5)^{10-6}\\\\[2ex]P[X=6]&amp;=0,2051\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"279\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0924\u094b, \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0926\u0938 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u0920\u0940\u0915 \u091b\u0939 \u091a\u093f\u0924 \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 20.51% \u0939\u0948\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-binomial\"><\/span> \u0926\u094d\u0935\u093f\u092a\u0926 \u092c\u0902\u091f\u0928 \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902 \u0939\u0948\u0902:<\/p>\n<ul>\n<li> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u094b \u0926\u094b \u092e\u093e\u092a\u0926\u0902\u0921\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948: <em>n<\/em> \u092c\u0930\u094d\u0928\u094c\u0932\u0940 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0914\u0930 \u0926\u0942\u0938\u0930\u0940 \u0913\u0930, <em>\u092a\u0940<\/em> \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u0930\u094d\u0928\u094c\u0932\u0940 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0940 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964<\/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-cd9728a237a5f49107bf14f440620936_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\\\[2ex]n\\geq 0\\\\[2ex]0\\leq p\\leq 1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"108\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0940 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u090f \u0917\u090f \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0909\u0924\u094d\u092a\u093e\u0926 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f, \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0915\u093f\u0938\u0940 \u0915\u094b <em>n \u0915\u094b<\/em> <em>p<\/em> \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e\u0964<\/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-65db1683dc8790001072c564aadf3631_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=n\\cdot p\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0935\u093f\u091a\u0930\u0923 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0914\u0930 \u0935\u093f\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u090f \u0917\u090f \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/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-103608d604d211c1bd995dd3f982d11b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=n\\cdot p\\cdot (1-p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092b\u0932\u0928 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948:<\/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-3ab3244961c8b68181859f8a87b2811c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]&amp;=\\begin{pmatrix}n\\\\ x\\end{pmatrix}p^x(1-p)^{n-x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"235\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930, \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0938\u0902\u091a\u092f\u0940 \u0935\u093f\u0924\u0930\u0923 \u092b\u0932\u0928 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u0948:<\/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-e31ef4ae023b8bf51c0b6816bc787c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\sum_{k=0}^x\\begin{pmatrix}n\\\\k\\end{pmatrix}p^k(1-p)^{n-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"262\" style=\"vertical-align: -22px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0938\u092e\u093e\u0928 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0935\u093e\u0932\u0947 \u0926\u094b \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0938\u092e\u093e\u0928 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u093e\u0928 <em>p<\/em> \u0914\u0930 <em>n<\/em> \u0915\u0947 \u0938\u093e\u0925 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u094b \u0926\u094b\u0928\u094b\u0902 \u0935\u093f\u0924\u0930\u0923\u094b\u0902 \u0915\u0947 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u092f\u094b\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/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-dbc1a01b2d5654864d688cc46ac3a2e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\qquad Y\\sim\\text{Bin}(m,p)\\\\[4ex]Z=X+Y \\sim\\text{Bin}(n+m,p)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"254\" style=\"vertical-align: 0px;\"><\/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-9fed580dc5cfbce19048124974a1fa41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[Z=z]=\\begin{pmatrix}n+m\\\\z\\end{pmatrix}p^z(1-p)^{n+m-z}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"289\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> \u092c\u0930\u094d\u0928\u094c\u0932\u0940 \u0935\u093f\u0924\u0930\u0923 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u092e\u093e\u092e\u0932\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 <em>n=1<\/em> , \u092f\u093e\u0928\u0940 \u0915\u0947\u0935\u0932 \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/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-919200bea19252a9f6bee424ad48908d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(1,p) \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad X\\sim\\text{Bernoulli}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"397\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <em><sub>\u092f\u0926\u093f<\/sub> <sub>X<\/sub><\/em> 1 <em>,<\/em> <em><sub>X<\/sub> <sub>2<\/sub> ,\u2026, X <sub>k<\/sub><\/em> \u0910\u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u0939\u0948\u0902 <\/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-1bc264e1007f09c3701e65ae678115b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sum_{i=1}^k X_i\\sim \\text{Bin}\\left(\\sum_{i=1}^k n_i,p\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"188\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-binomial\"><\/span> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u092e\u0947\u0902 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u0930 <em>\u092a\u0940, \u090f\u0928<\/em> \u0914\u0930 <em>\u090f\u0915\u094d\u0938<\/em> \u0915\u0947 \u092e\u093e\u0928 \u0926\u0930\u094d\u091c \u0915\u0930\u0947\u0902\u0964 \u0906\u092a\u0915\u094b \u0909\u0938 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e \u091c\u093f\u0938\u0915\u0940 \u0906\u092a \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0926\u0936\u092e\u0932\u0935 \u0935\u093f\u092d\u093e\u091c\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092c\u093f\u0902\u0926\u0941 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 \u0926\u0930\u094d\u091c \u0915\u0930\u0947\u0902, \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f 0.1667\u0964<\/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> \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0940 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u092e\u094d\u092d\u093e\u0935\u0928\u093e <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-e67f693705a2e492d8981f0ed1387c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p = \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span> <input name=\"prob\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce la probabilidad de \u00e9xito de cada experimento aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> \u0915\u093f\u092f\u0947 \u0917\u092f\u0947 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e <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-17b8c0c4e843e448cbe5846755391d66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n = \" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"29\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"n\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero total de experimentos realizados aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:5%\"> <span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> \u0938\u092b\u0932 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e: <\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" checked=\"\" value=\"probigual\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-95a78799e4906daa08ea620a942c61bd_l3.png\" 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=\"\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u092e\u0947\u0902 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u0938 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f \u0906\u092a\u0915\u094b \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e, \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u0914\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0917\u0941\u0923 \u092e\u093f\u0932\u0947\u0902\u0917\u0947\u0964 \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u0906\u092a 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