{"id":26759,"date":"2021-05-12T13:00:23","date_gmt":"2021-05-12T13:00:23","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26759"},"modified":"2024-05-22T00:56:34","modified_gmt":"2024-05-22T00:56:34","slug":"%e0%a4%ac%e0%a4%b0%e0%a5%8d%e0%a4%a8%e0%a5%82%e0%a4%b2%e0%a5%80-%e0%a4%aa%e0%a4%b0%e0%a5%80%e0%a4%95%e0%a5%8d%e0%a4%b7%e0%a4%a3-%e0%a4%94%e0%a4%b0-%e0%a4%a6%e0%a5%8d%e0%a4%b5%e0%a4%bf%e0%a4%aa","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%ac%e0%a4%b0%e0%a5%8d%e0%a4%a8%e0%a5%82%e0%a4%b2%e0%a5%80-%e0%a4%aa%e0%a4%b0%e0%a5%80%e0%a4%95%e0%a5%8d%e0%a4%b7%e0%a4%a3-%e0%a4%94%e0%a4%b0-%e0%a4%a6%e0%a5%8d%e0%a4%b5%e0%a4%bf%e0%a4%aa\/","title":{"rendered":"\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0914\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0914\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0938\u093e\u0930\u093e\u0902\u0936<\/strong><br \/><em>\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0939\u092e \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092e\u0947\u0902 \u0928\u093f\u0939\u093f\u0924\u093e\u0930\u094d\u0925 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0938\u0947 \u0936\u0941\u0930\u0942 \u0915\u0930\u0947\u0902\u0917\u0947 \u0914\u0930 \u092b\u093f\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u0938\u092e\u091d\u0947\u0902\u0917\u0947\u0964 \u0907\u0928 \u0935\u093f\u091a\u093e\u0930\u094b\u0902 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926, \u0939\u092e \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902\u0917\u0947 \u0924\u093e\u0915\u093f \u092f\u0939 \u0938\u092e\u091d \u0938\u0915\u0947\u0902 \u0915\u093f \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u0947 \u0926\u094b\u0939\u0930\u093e\u0935 \u0938\u0947 \u0915\u0948\u0938\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0905\u0902\u0924 \u092e\u0947\u0902, \u0907\u0928 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u0947 \u0914\u0930 \u0938\u0941\u0926\u0943\u0922\u093c \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u090f\u0902\u0917\u0947\u0964<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0938\u0940\u0916\u0928\u0947 \u0915\u0947 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f:<\/strong><br \/>\n\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0905\u0902\u0924 \u092e\u0947\u0902, \u091b\u093e\u0924\u094d\u0930 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947:\n<\/p>\n<ol>\n<li><strong>\u092a\u0939\u091a\u093e\u0928\u0947\u0902<\/strong> \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0964<\/li>\n<li><strong>\u0938\u0939\u0940 \u0922\u0902\u0917 \u0938\u0947 \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902<\/strong> \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0926\u094d\u0935\u093f\u092a\u0926 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u0915\u0947\u0924\u0928\u0964<\/li>\n<li><strong>\u0905\u0902\u0924\u0930 \u0915\u0930\u0947\u0902<\/strong> \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0930\u0942\u092a\u094b\u0902 (2-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e, 3-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e, n-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e) \u0915\u0947 \u092c\u0940\u091a \u0914\u0930 \u0909\u0928\u0915\u0940 \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u092e\u0947\u0902 \u0938\u0902\u092c\u0902\u0927 \u0914\u0930 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u094b \u0938\u092e\u091d\u0947\u0902\u0964<\/li>\n<li><strong>\u0938\u092e\u091d\u0947\u0902<\/strong> \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0914\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927, \u0914\u0930 \u0907\u0938 \u0938\u0902\u092c\u0902\u0927 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0914\u0930 \u0905\u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0940 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902<\/strong> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 (\u092f\u093e \u092c\u0930\u094d\u0928\u0942\u0932\u0940) \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u092e\u0947\u0902\u0964<\/li>\n<\/ol>\n<p><center><br \/>\n<strong><u>\u0938\u093e\u092e\u0917\u094d\u0930\u0940 \u0915\u0940 \u0924\u093e\u0932\u093f\u0915\u093e:<\/u><\/strong><br \/>\n<a href=\"#1\">\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923<\/a><br \/>\n<a href=\"#2\">\u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0930\u0942\u092a\u094b\u0902<\/a><br \/>\n<a href=\"#3\">\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0914\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u092e\u0947\u092f<\/a><br \/>\n<a href=\"#4\">\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 (\u092f\u093e \u092c\u0930\u094d\u0928\u0942\u0932\u0940) \u0914\u0930 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923<\/a><br \/>\n<a href=\"#5\">\u0905\u092d\u094d\u092f\u093e\u0938:<\/a><br \/>\n<\/center><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/uyljDy0bcvU\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/br><\/br><\/p>\n<h2>\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=103s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u090f\u0915 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0939\u0948<\/span><\/strong><\/a> \u0926\u094d\u0935\u0948\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u094b\u0924\u0940 \u0939\u0948 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p.<\/span><\/span> \u092f\u0926\u093f \u090f\u0915 \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u092c\u093e\u0930 \u0938\u092e\u093e\u0928 \u0914\u0930 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0930\u0942\u092a \u0938\u0947 \u0926\u094b\u0939\u0930\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0939\u092e\u0947\u0902 <strong>\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u0918\u091f\u0928\u093e\u090f\u0902<\/strong> \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0940 \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0938\u0902\u0916\u094d\u092f\u093e\u0964 \u0907\u0928\u094d\u0939\u0947\u0902 \u092d\u0940 <strong>\u0926\u094d\u0935\u093f\u092a\u0926 \u0918\u091f\u0928\u093e\u090f\u0902<\/strong> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0939\u092e \u0907\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u0915\u0947\u0924\u0928 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle Bi(n;k;p)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0914\u0930 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u092f\u0939 \u0939\u0948 \u0915\u093f \u0938\u092d\u0940 \u092a\u094d\u0930\u092f\u093e\u0938 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000080;\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/span> \u090f\u0915 6-\u092e\u0941\u0902\u0939 \u0935\u093e\u0932\u0947 \u092a\u093e\u0938\u0947 \u0915\u094b \u092c\u093e\u0930-\u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0932\u093f\u090f \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><strong>5 \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 3 \u0907\u0915\u094d\u0915\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u093e:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(5;3;1\/6)<\/span><\/span> \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e<\/li>\n<li><strong>12 \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 7 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u093e:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(12;7;1\/3)<\/span><\/span> \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e<\/li>\n<\/ul>\n<p><a name=\"2\"><\/a><\/br><\/br><\/p>\n<h3>\u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0930\u0942\u092a\u094b\u0902<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=283s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u092e\u0947\u0902 \u0915\u093f\u090f \u0917\u090f \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/span><\/strong><\/a> \u092c\u093f\u0932\u094d\u0915\u0941\u0932 \u0935\u0939\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0928\u0939\u0940\u0902 \u0939\u0948 \u091c\u094b \u0939\u092e \u092a\u0939\u0932\u0947 \u0926\u0947\u0916 \u091a\u0941\u0915\u0947 \u0939\u0948\u0902, \u092f\u0939 \u090f\u0915 \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927\u093f\u0924 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0939\u0948\u0964 \u0907\u0938 \u0905\u0902\u0924\u0930 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0930\u0942\u092a\u094b\u0902 \u0915\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h4>2-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/h4>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/toposuranos.com\/probabilidad-condicional-e-independencia-entre-eventos\/\" rel=\"noopener\" target=\"_blank\">\u0939\u092e\u093e\u0930\u0940 \u091c\u093e\u0928\u0940-\u092a\u0939\u091a\u093e\u0928\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/a> \u0926\u094b \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0939\u094b\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u0947 \u0939\u092e \u00ab2-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e\u00bb \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0928 \u0936\u0930\u094d\u0924\u094b\u0902 \u092e\u0947\u0902, \u0939\u092e \u0915\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0918\u091f\u0928\u093e\u090f\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> 2-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902 \u092f\u0926\u093f<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B) = P(A)P(B)<\/span><\/span><\/p>\n<h4>3-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/h4>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930, \u0924\u0940\u0928 \u0918\u091f\u0928\u093e\u0913\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u0915\u0947 \u092c\u0940\u091a 3-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u094b \u0907\u0938 \u0938\u0902\u092c\u0902\u0927 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B\\cap C) = P(A)P(B)P(C)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u0939 \u0927\u094d\u092f\u093e\u0928 \u0930\u0916\u0928\u093e \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948 \u0915\u093f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u0914\u0930 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u0915\u0947 \u092c\u0940\u091a 2-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u093e \u092e\u0924\u0932\u092c \u091c\u0930\u0942\u0930\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u093f \u0935\u0947 3-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902, \u0939\u093e\u0932\u093e\u0902\u0915\u093f \u0935\u093f\u092a\u0930\u0940\u0924 \u092e\u093e\u092e\u0932\u093e \u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/p>\n<h4>\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u092e\u0947\u0902 n-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/h4>\n<p style=\"text-align: justify; color: #000000;\">\u092a\u0939\u0932\u0947 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u093e\u0928, \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u090f\u0915 \u0938\u0902\u0917\u094d\u0930\u0939 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A_1, \\cdots, A_n<\/span><\/span> \u0915\u0947 \u092c\u0940\u091a n-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u094b \u0907\u0938 \u0938\u0902\u092c\u0902\u0927 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle P\\left(\\bigcap_{i=1}^n A_i\\right) = \\prod_{i=1}^n P(A_i) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0914\u0930 \u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930, \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0939\u0948:<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(n-1)<\/span><\/span>-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u093e \u092e\u0924\u0932\u092c \u091c\u0930\u0942\u0930\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Longrightarrow<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">(n-1)<\/span><\/span>-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u092e\u0947\u0902 \u0915\u093f\u090f \u0917\u090f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u0926\u094b\u0939\u0930\u093e\u0935 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902\u0964<\/p>\n<p><a name=\"3\"><\/a><\/br><\/br><\/p>\n<h2>\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0914\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u092e\u0947\u092f<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=478s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0938\u092b\u0932\u0924\u093e \u0914\u0930 \u0905\u0938\u092b\u0932\u0924\u093e \u0915\u093e \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u093e\u0928 \u0932\u0947\u0902<\/span><\/strong><\/a> \u091c\u093f\u0938\u0915\u0940 \u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p<\/span><\/span>; \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u092f\u093e\u0938 \u092e\u0947\u0902, \u0907\u0938\u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a, \u0905\u0938\u092b\u0932\u0924\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u094b\u0917\u0940 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1-p<\/span><\/span>\u0964 \u092f\u0939 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u092f\u093e\u0938 \u092e\u0947\u0902 \u0938\u092b\u0932\u0924\u093e \u092f\u093e \u0905\u0938\u092b\u0932\u0924\u093e \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 1 \u0939\u0948; \u0914\u0930 \u091a\u0942\u0902\u0915\u093f \u0938\u092d\u0940 \u092a\u094d\u0930\u092f\u093e\u0938 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 \u0938\u092b\u0932\u0924\u093e \u092f\u093e \u0905\u0938\u092b\u0932\u0924\u093e \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u094b\u0917\u0940 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1^n.<\/span><\/span> \u0907\u0938\u0938\u0947 \u0939\u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle 1 = 1^n = [p + (1-p)]^n = \\sum_{k=0}^n {{n}\\choose{k}} p^k(1-p)^{n-k} <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0905\u0902\u0924\u093f\u092e \u0938\u092e\u093e\u0928\u0924\u093e \u092e\u0947\u0902, <a href=\"https:\/\/toposuranos.com\/ejercicios-de-induccion-matematica-teorema-del-binomio-de-newton\/\" rel=\"noopener\" target=\"_blank\">\u0928\u094d\u092f\u0942\u091f\u0928 \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u092e\u0947\u092f<\/a> \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948, \u0914\u0930 \u092f\u094b\u0917 \u0915\u0947 \u092d\u0940\u0924\u0930 \u0915\u0940 \u0936\u0930\u094d\u0924\u094b\u0902 \u0915\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0940 \u091c\u093e \u0938\u0915\u0924\u0940 \u0939\u0948:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{k}}<\/span><\/span>: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p^k<\/span><\/span>: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(1-p)^{n-k}<\/span><\/span>: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-k<\/span><\/span> \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0905\u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e<\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0928 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u094b \u0909\u0938 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u091c\u094b\u0921\u093c\u0915\u0930 \u091c\u093f\u0938\u092e\u0947\u0902 \u0935\u0947 \u092f\u094b\u0917 \u092e\u0947\u0902 \u0926\u093f\u0916\u093e\u0908 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902, \u0939\u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e; \u092f\u093e \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0930\u0942\u092a \u0938\u0947, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-k<\/span><\/span> \u0905\u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u0926\u093f \u0939\u092e \u092f\u094b\u0917 \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0936\u092c\u094d\u0926 \u0915\u094b \u0905\u0932\u0917-\u0905\u0932\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{0}} p^0(1-p)^{n-0} = (1-p)^n<\/span><\/span><\/td>\n<td>n \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 0 \u0938\u092b\u0932\u0924\u093e\u090f\u0902<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{1}} p^1(1-p)^{n-1} = n p(1-p)^{n-1}<\/span><\/span><\/td>\n<td>n \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 1 \u0938\u092b\u0932\u0924\u093e<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{2}} p^2(1-p)^{n-2}<\/span><\/span><\/td>\n<td>n \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 2 \u0938\u092b\u0932\u0924\u093e\u090f\u0902<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{k}} p^k(1-p)^{n-k}<\/span><\/span><\/td>\n<td>n \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 k \u0938\u092b\u0932\u0924\u093e\u090f\u0902<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{n-1}} p^{n-1}(1-p)^{n-(n-1)} = n p^{n-1}(1-p)<\/span><\/span><\/td>\n<td>n \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-1<\/span><\/span> \u0938\u092b\u0932\u0924\u093e\u090f\u0902<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{n}} p^{n}(1-p)^{0} = p^{n}<\/span><\/span><\/td>\n<td>n \u092a\u094d\u0930\u092f\u093e\u0938\u094b\u0902 \u092e\u0947\u0902 n \u0938\u092b\u0932\u0924\u093e\u090f\u0902<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0914\u0930 \u0907\u0928 \u0938\u092d\u0940 \u0915\u093e \u092f\u094b\u0917, \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e\u0928\u0947 \u0926\u0947\u0916\u093e \u0939\u0948, \u00ab1\u00bb \u0939\u0948\u0964 \u092f\u0939 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u094b \u0915\u0935\u0930 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938\u0938\u0947 <strong>\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e<\/strong> \u0915\u094b \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\Large \\color{blue}{P(Bi(n;k;p)) = {{n}\\choose{k}}p^k(1-p)^{n-k}}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u093e \u0939\u092e \u092f\u0939 \u092d\u0940 \u0915\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f <strong>\u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0939\u0948:<\/strong><\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{\\Large \\displaystyle X\\sim Bi(n;p) \\longmapsto P(X=x) = {{n}\\choose{x}}p^x(1-p)^{n-x}}<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/br><\/br><\/p>\n<h3>\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 (\u092f\u093e \u092c\u0930\u094d\u0928\u0942\u0932\u0940) \u0914\u0930 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=779s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947<\/span><\/strong><\/a> \u0939\u092e \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0914\u0930 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u0915\u0940 \u092a\u0939\u0932\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902, \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 (\u0935\u093f\u091a\u094d\u091b\u0947\u0926\u093f\u0924) \u0938\u092b\u0932\u0924\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u0940 \u0936\u0930\u094d\u0924\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{\\Large \\displaystyle P(X=x) = {{n}\\choose{x}}p^x(1-p)^{n-x}}<\/span><\/span><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/36s4rcfQn7M\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<p><a name=\"5\"><\/a><\/br><\/br><\/p>\n<h2>\u0905\u092d\u094d\u092f\u093e\u0938:<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\u090f\u0915 \u0938\u0902\u0924\u0941\u0932\u093f\u0924 6-\u092e\u0941\u0902\u0939 \u0935\u093e\u0932\u0947 \u092a\u093e\u0938\u0947 \u0915\u094b 5 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a 3 \u092c\u093e\u0930 \u090f\u0915 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902\u0964<\/li>\n<li>\u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b 10 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 0 \u0938\u0947 10 \u0939\u0947\u0921\u094d\u0938 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u094b \u0926\u093f\u0916\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u090f\u0915 \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u090f\u0902\u0964 \u092f\u0926\u093f \u0939\u092e \u092b\u0947\u0902\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0922\u093c\u093e\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 0 \u0938\u0947 \u0909\u0938 \u0938\u0902\u0916\u094d\u092f\u093e \u0924\u0915 \u0939\u0947\u0921\u094d\u0938 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u091c\u093e\u0902\u091a \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0917\u094d\u0930\u093e\u092b \u0915\u0948\u0938\u093e \u0926\u093f\u0916\u0947\u0917\u093e? \u092f\u0939\u093e\u0902 \u090f\u0915 Excel \u0936\u0940\u091f \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0964<\/li>\n<li>\u090f\u0915 \u091f\u0949\u092e\u094d\u092c\u094b\u0932\u093e \u092e\u0947\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">s<\/span><\/span> \u092c\u0949\u0932\u094d\u0938 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0947 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">r<\/span><\/span> \u0917\u094b\u0932\u094d\u0921\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902 \u0914\u0930 \u092c\u093e\u0915\u0940 \u0938\u092b\u0947\u0926\u0964 \u0938\u092d\u0940 \u0915\u094b \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u090f\u0915 \u0915\u094b \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0916\u0940\u0902\u091a\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u091c\u0940\u0924 \u0924\u092c \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u092c \u0917\u094b\u0932\u094d\u0921\u0928 \u092c\u0949\u0932 \u0928\u093f\u0915\u0932\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u094b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">20<\/span><\/span> \u092c\u093e\u0930 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u0926\u094b\u0939\u0930\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u0935 \u092e\u093e\u0928 \u0915\u0947 \u0932\u093f\u090f \u0938\u092c\u0938\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u091c\u0940\u0924 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u090f\u0902 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0\\leq r\\leq s.<\/span><\/span> \u092f\u0939\u093e\u0902 \u090f\u0915 Excel \u0936\u0940\u091f \u092d\u0940 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0964<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0914\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923 \u0938\u093e\u0930\u093e\u0902\u0936\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0939\u092e \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092e\u0947\u0902 \u0928\u093f\u0939\u093f\u0924\u093e\u0930\u094d\u0925 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0938\u0947 \u0936\u0941\u0930\u0942 \u0915\u0930\u0947\u0902\u0917\u0947 \u0914\u0930 \u092b\u093f\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u0938\u092e\u091d\u0947\u0902\u0917\u0947\u0964 \u0907\u0928 \u0935\u093f\u091a\u093e\u0930\u094b\u0902 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926, \u0939\u092e \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902\u0917\u0947 \u0924\u093e\u0915\u093f 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\u0926\u094d\u0935\u093f\u092a\u0926 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/hi\/\u092c\u0930\u094d\u0928\u0942\u0932\u0940-\u092a\u0930\u0940\u0915\u094d\u0937\u0923-\u0914\u0930-\u0926\u094d\u0935\u093f\u092a\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u092c\u0930\u094d\u0928\u0942\u0932\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0914\u0930 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0924\u0930\u0923\" \/>\n<meta property=\"og:description\" content=\"\u092a\u0924\u093e 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