{"id":220,"date":"2023-08-04T00:49:55","date_gmt":"2023-08-04T00:49:55","guid":{"rendered":"https:\/\/statorials.org\/my\/bernoulli-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc%e1%80%b0%e1%80%b8%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b\/"},"modified":"2023-08-04T00:49:55","modified_gmt":"2023-08-04T00:49:55","slug":"bernoulli-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc%e1%80%b0%e1%80%b8%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/bernoulli-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc%e1%80%b0%e1%80%b8%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b\/","title":{"rendered":"Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f\u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u104e\u1004\u103a\u1038\u104f\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1000\u102d\u102f\u1015\u102d\u102f\u1019\u102d\u102f\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1000\u102d\u102f\u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-de-bernoulli\"><\/span> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Bernoulli \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a<\/strong> <strong>dichotomous \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f<\/strong> \u101f\u102f\u101c\u100a\u103a\u1038\u101e\u102d\u1000\u103c\u1015\u103c\u102e\u1038\u104a \u101e\u100a\u103a \u101b\u101c\u1012\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u102d\u102f\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a- &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221;  \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038&#8221; \u104b<\/p>\n<p> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221;  \u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1010\u1014\u103a\u1016\u102d\u102f\u1038 1 \u101b\u103e\u102d\u1015\u103c\u102e\u1038 &#8220; \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038&#8221;  \u101e\u100a\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u101b\u101c\u1012\u103a\u1011\u1000\u103a\u1021\u1001\u103c\u102c\u1038\u101b\u101c\u1012\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 0 \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a &#8220; \u101b\u101c\u1012\u103a\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u1015\u102b\u1000\u104a \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221;  \u101e\u100a\u103a <em>p<\/em> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 &#8220; \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038&#8221;  \u104f\u101b\u101c\u1012\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c <em>q = 1-p<\/em> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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-384fd7d96d4d6584739b04a6e331b251_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim \\text{Bernoulli}(p)\\\\[2ex]\\begin{array}{l} \\text{\\'Exito}\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ P[X=1]=p\\\\[2ex]\\text{Fracaso}\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ P[X=0]=q=1-p\\end{array}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"361\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1006\u103d\u1005\u103a\u1007\u102c\u101c\u1014\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a Jacob Bernoulli \u104f\u1021\u1005\u103d\u1032\u1016\u103c\u1004\u1037\u103a \u1021\u1019\u100a\u103a\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/p>\n<p> \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1021\u1013\u102d\u1000\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1015\u101c\u102e\u1000\u1031\u1038\u101b\u103e\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a- \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u101c\u1012\u103a \u1014\u103e\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u101e\u100a\u103a- \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1019\u103e\u102f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f Bernoulli \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a Bernoulli \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101f\u102f \u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-de-bernoulli\"><\/span> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <em>p<\/em> \u101e\u100a\u103a &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221;  \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u104f \u101b\u101c\u1012\u103a\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a <em>p<\/em> \u1019\u103e <em>x<\/em> \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1000\u102c <em>1-p<\/em> \u1014\u103e\u1004\u1037\u103a \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1000\u102c <em>1-x<\/em> \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a <strong>Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a<\/strong> \u104b <\/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-bernouilli.png\" alt=\"Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\" class=\"wp-image-4403\" width=\"266\" height=\"210\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a <em>x<\/em> \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0 (\u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a) \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a 1 (\u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f) \u101e\u102c\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/p>\n<p> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u101a\u1001\u1004\u103a\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u101b\u1031\u1038\u101e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/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-ec9d35bd206499e27579d7c65d915a67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" \\displaystyle P[X=x]=\\left\\{\\begin{array}{ll}1-p &amp; \\text{si } x=0\\\\[2ex]p&amp; \\text{si } x=1\\end{array}\\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"237\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-distribucion-de-bernoulli\"><\/span> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f\u1025\u1015\u1019\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101a\u1001\u102f Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u102d\u101b\u103e\u102d\u1015\u103c\u102e\u1038\u101e\u1031\u102c\u1021\u1001\u102b Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c \u1025\u1015\u1019\u102c\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/p>\n<ul>\n<li> \u1002\u102d\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1014\u102d\u102f\u1004\u103a\u101b\u101b\u1014\u103a\u104a \u1000\u1005\u102c\u1038\u101e\u1019\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1021\u101e\u1031\u1000\u102d\u102f\u101c\u103e\u102d\u1019\u1037\u103a\u1015\u103c\u102e\u1038 2 \u1000\u102d\u102f\u101b\u101a\u1030\u101b\u1019\u100a\u103a\u104a \u1019\u101f\u102f\u1010\u103a\u1015\u102b\u1000 \u1021\u1001\u103c\u102c\u1038\u1000\u1005\u102c\u1038\u101e\u1019\u102c\u1038\u101e\u100a\u103a \u1002\u102d\u1019\u103a\u1038\u1000\u102d\u102f\u1021\u1014\u102d\u102f\u1004\u103a\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1002\u102d\u1019\u103a\u1038\u101e\u100a\u103a \u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1019\u103e\u102f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/li>\n<\/ul>\n<p> \u1021\u101e\u1031\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u101b\u101c\u1012\u103a\u1001\u103c\u1031\u102c\u1000\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a (\u1041\u104a \u1042\u104a \u1043\u104a \u1044\u104a \u1045\u104a \u1046)\u104a \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1024\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u103d\u1004\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f\u1014\u1019\u1030\u1014\u102c\u1014\u1031\u101b\u102c\u101e\u100a\u103a-<\/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-b3ad0ac057b6cd7e3d3db78b556249a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{1,2,3,4,5,6\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u103d\u1004\u103a\u104a \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u104f\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u102d\u1005\u1039\u1005\u1019\u103e\u102c \u1014\u1036\u1015\u102b\u1010\u103a\u1014\u103e\u1005\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a Laplace \u104f\u1005\u100a\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f\u1000\u103b\u1004\u1037\u103a\u101e\u102f\u1036\u1038\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u101b\u101c\u1012\u103a\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 (\u1046) \u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/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-d3edc23a0939657deeeed11600ba29be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{6}=0,1667\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"121\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u101e\u1031\u101c\u103d\u1014\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u1014\u1036\u1015\u102b\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101c\u102c\u1015\u102b\u1000\u104a \u1000\u1005\u102c\u1038\u101e\u1030\u101e\u100a\u103a \u1002\u102d\u1019\u103a\u1038\u1000\u102d\u102f\u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u101b\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f\u101b\u101c\u1012\u103a\u101e\u100a\u103a \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1019\u103e\u102f\u101f\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1024\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u1000 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1021\u1014\u102f\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a-<\/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-e227d2af05b593a352cc6cbd5481469c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p=1-\\cfrac{1}{6}=\\cfrac{5}{6}=0,8333\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"247\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u1021\u1010\u102d\u102f\u1001\u103b\u102f\u1015\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a\u104b<\/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-440d054ce5c566fe8dd15f52c5f32059_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" \\displaystyle P[X=x]=\\left\\{\\begin{array}{ll}\\cfrac{5}{6} &amp; \\text{si } x=0\\\\[4ex]\\cfrac{1}{6} &amp; \\text{si } x=1\\end{array}\\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"209\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u101b\u101e\u100a\u1037\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- <\/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-cbe5fae22a9fc6271a376d76e7149c7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=p^x\\cdot (1-p)^{1-x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/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-847c03e1b95832f2100baaaf984bad98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=0]=\\left(\\frac{1}{6}\\right)^0\\cdot \\left(1-\\frac{1}{6}\\right)^{1-0}=\\cfrac{5}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"284\" style=\"vertical-align: -17px;\"><\/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-f2925f101c2a1cf6f9a5690b79265ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=1]=\\left(\\frac{1}{6}\\right)^1\\cdot \\left(1-\\frac{1}{6}\\right)^{1-1}=\\cfrac{1}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"284\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-de-bernoulli\"><\/span> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f\u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1019\u103b\u102c\u1038\u101e\u100a\u103a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u1006\u102f\u1036\u1038\u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038 1 (\u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f) \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a 0 (\u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1019\u103e\u102f) \u1000\u102d\u102f\u101e\u102c \u101a\u1030\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/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-68118c3a558ed7a1de8983eda3baee86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\{0\\ ; 1\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221;  \u101b\u101c\u1012\u103a\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1014\u103e\u1004\u1037\u103a\u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/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-2b30550c767b243e13eaa5e05058cf40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=p\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"73\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bernoulli \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u101b\u101c\u1012\u103a &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221;  \u1014\u103e\u1004\u1037\u103a &#8220; \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038&#8221;  \u1010\u102d\u102f\u1037\u104f \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a <em>p<\/em> \u1021\u1019\u103c\u103e\u1031\u102c\u1000\u103a <em>1-p<\/em> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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-8dd0da3524a93c4fc809dc9a7f8f9d8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=p\\cdot q=p\\cdot (1-p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"214\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221;  \u1014\u103e\u1004\u1037\u103a &#8220; \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038&#8221;  \u1010\u102d\u102f\u1037\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a\u1019\u1030\u1010\u100a\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1024\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f\u1019\u102f\u1012\u103a\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a-<\/li>\n<\/ul>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\displaystyle Mo=\\left\\{\\begin{array}{ll}0 &amp; \\text{si } q&gt;p\\\\[2ex]0 \\ ;1 &amp; \\text{si } q=p\\\\[2ex] 1 &amp; \\text{si } q&lt;ul&gt;&lt;li&gt; The formula for the probability function of a Bernoulli distribution is as follows:&lt;\/li&gt;&lt;\/ul&gt;[latex] \\displaystyle P[X=x]= \\left\\{\\begin{array}{ll}1-p &amp; \\text{si } x=0\\\\[2ex]p&amp; \\text{si } x=1\\end{array}\\right.\n\n*** Error message:\nMissing $ inserted.\nleading text: \\displaystyle\nPlease use \\mathaccent for accents in math mode.\nleading text: ...&gt; The formula for the probability function\n\\begin{array} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\nImproper \\prevdepth.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing \\cr inserted.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\nYou can't use `\\end' in internal vertical mode.\nleading text: \\end{document}\n\\begin{array} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nEmergency stop.\n\n<\/pre>\n<ul>\n<li> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1005\u102f\u1005\u100a\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a-<\/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-9e88fb8ab304bedd415fc2733481b681_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" \\displaystyle P[X\\leq x]=\\left\\{\\begin{array}{ll}0 &amp; \\text{si } x<0\\\\[2ex]1-p&amp; \\text{si }0 \\leq x<1\\\\[2ex]1 &amp; \\text{si } x\\geq 1\\end{array}\\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"269\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1021\u1001\u103b\u102d\u102f\u1038\u1019\u100a\u102e\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a-<\/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-a40989786a746b4be0d58885a7b1105c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\cfrac{q-p}{\\sqrt{p\\cdot q}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"85\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1021\u101c\u102c\u1038\u1010\u1030\u104a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f kurtosis \u101e\u100a\u103a \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1018\u1031\u102c\u1004\u103a <em>p<\/em> \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a\u1019\u1030\u1010\u100a\u103a\u1015\u103c\u102e\u1038 \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- <\/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-80241858133afe551b9687ce4131b180_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=\\cfrac{3p^2-3p+1}{p(1-p)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"136\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-bernoulli-y-distribucion-binomial\"><\/span> Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a binomial \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1024\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a binomial \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u103c\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> <strong>binomial \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a<\/strong> Bernoulli \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u101b\u101b\u103e\u102d\u101e\u1031\u102c &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u101e\u1031\u102c&#8221;  \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u1031\u1010\u103d\u1000\u103a\u101e\u100a\u103a\u104b \u1024 Bernoulli \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1010\u1030\u100a\u102e\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a <strong>binomial distribution \u101e\u100a\u103a Bernoulli \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a\u101b\u103e\u102d\u101e\u1031\u102c variable \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038<\/strong> \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1018\u1031\u102c\u1004\u103a <em>p<\/em> \u1016\u103c\u1004\u1037\u103a\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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-e63ec0d7ac64de1089ca7509233c30aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X_i\\sim \\text{Bernoulli}(p)\\\\[2ex]\\displaystyle \\sum_{i=1}^nX_i\\sim \\text{Bin}(n,p)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"87\" width=\"140\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a Bernoulli \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 binomial \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a Bernoulli \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f\u1021\u1005\u102e\u1021\u1005\u1025\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f\u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u104e\u1004\u103a\u1038\u104f\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1000\u102d\u102f\u1015\u102d\u102f\u1019\u102d\u102f\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1000\u102d\u102f\u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b Bernoulli \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a dichotomous \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f \u101f\u102f\u101c\u100a\u103a\u1038\u101e\u102d\u1000\u103c\u1015\u103c\u102e\u1038\u104a \u101e\u100a\u103a \u101b\u101c\u1012\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u102d\u102f\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a- &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221; \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038&#8221; \u104b Bernoulli \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a &#8220; \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f&#8221; \u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1010\u1014\u103a\u1016\u102d\u102f\u1038 1 \u101b\u103e\u102d\u1015\u103c\u102e\u1038 &#8220; \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038&#8221; \u101e\u100a\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u101b\u101c\u1012\u103a\u1011\u1000\u103a\u1021\u1001\u103c\u102c\u1038\u101b\u101c\u1012\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 0 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