{"id":743,"date":"2021-01-11T21:48:07","date_gmt":"2021-01-11T19:48:07","guid":{"rendered":"https:\/\/www.pealfa.duckdns.org\/wordpress\/?p=743"},"modified":"2021-06-17T13:41:02","modified_gmt":"2021-06-17T11:41:02","slug":"pruebas-de-bernoulli-y-experimentos-binomiales","status":"publish","type":"post","link":"https:\/\/www.pealfa.duckdns.org\/wordpress\/?p=743","title":{"rendered":"Pruebas de Bernoulli y experimentos binomiales"},"content":{"rendered":"<\/style>\n<p><script type=\"text\/javascript\">function SINO(cual) {\n   var elElemento=document.getElementById(cual);\n   if(elElemento.style.display == 'block') {\n      elElemento.style.display = 'none';\n   } else {\n      elElemento.style.display = 'block';\n   }\n}\n<\/script><\/p>\n<p>Buenas. Aqu\u00ed la segunda entrada dedicada a la Probabilidad Binomial.<\/p>\n<p>Ya hemos estudiado lo fundamental sobre los n\u00fameros factoriales y los n\u00fameros combinatorios.<\/p>\n<p>Y ahora te propongo un v\u00eddeo donde se exponen las nociones elementales (con ejemplos y uso de calculadora) acerca de las llamadas \u00abPruebas de Bernoulli\u00bb as\u00ed como de las conocidas \u00abExperiencias Binomiales\u00bb.<\/p>\n<div style=\"text-align: center;\">\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/Jhl7CAo9kiY\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div>\n<p>Te propongo un problema que extiende uno de los ejercicios resueltos en el v\u00eddeo:<\/p>\n<fieldset style=\"border: 1px solid #8A0808; padding: 10px;\">\n<p>En una f\u00e1brica de procesadores, el 99% de los producidos no presentan fallo alguno. De la cadena de producci\u00f3n tomamos, al azar, 10 de ellos.<\/p>\n<p>\u00bfQu\u00e9 probabilidad hay de que al menos dos presenten alg\u00fan fallo?<\/p>\n<\/fieldset>\n<p><\/p>\n<p>Sugerencia: considerar \u00ab\u00e9xito\u00bb a encontrar un procesador defectuoso.<\/p>\n<p style=\"text-align: center;\"><a href=\"javascript:void(0);\" onclick=\"SINO('prueba')\" title=\"Ver soluci\u00f3n\">UNA RESOLUCI\u00d3N<\/a><\/p>\n<div id=\"prueba\" style=\"display: none;\">\n<hr>\n<p>Si llamamos \u00ab\u00e9xito\u00bb a tomar un procesador defectuoso, estamos ante una experiencia \\(B\\left(10;0.01\\right)\\).<\/p>\n<p>Usemos el suceso contrario: \u00abal menos dos\u00bb = \u00abmayor o igual que dos\u00bb es lo contrario de \u00abmenor que dos\u00bb = \u00abninguno o uno\u00bb :<br \/>\n\\[\\begin{align} p\\left[X\\geq2\\right] &amp;= 1-p\\left[X&lt;2\\right]\\\\{}&amp; = 1- p\\left[X=0\\right]-p\\left[X=1\\right]\\\\{} &amp;= 1-\\binom{10}{0}\\cdot0.01^0\\cdot0.99^{10} &#8211; \\binom{10}{1}\\cdot0.01^1\\cdot0.99^9\\\\{}&amp;\\approx 0.0043\\end{align}\\]<\/p>\n<hr>\n<\/div>\n<p>\u00bfTodo bien? Eso espero.<\/p>\n<p>Gracias y hasta la pr\u00f3xima.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Buenas. Aqu\u00ed la segunda entrada dedicada a la Probabilidad Binomial. Ya hemos estudiado lo fundamental sobre los n\u00fameros factoriales y los n\u00fameros [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"post-templates\/post_nosidebar.php","format":"standard","meta":{"footnotes":""},"categories":[42],"tags":[44,63,50],"class_list":["post-743","post","type-post","status-publish","format-standard","hentry","category-estadistica","tag-estadistica","tag-probabilidad-binomial","tag-video"],"_links":{"self":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/743","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=743"}],"version-history":[{"count":4,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/743\/revisions"}],"predecessor-version":[{"id":864,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/743\/revisions\/864"}],"wp:attachment":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=743"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=743"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}