{"id":194,"date":"2015-03-17T09:45:05","date_gmt":"2015-03-17T08:45:05","guid":{"rendered":"http:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/?p=194"},"modified":"2015-03-17T09:45:05","modified_gmt":"2015-03-17T08:45:05","slug":"exercice-des-vacances-pour-luc","status":"publish","type":"post","link":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/2015\/03\/17\/exercice-des-vacances-pour-luc\/","title":{"rendered":"Exercice des vacances pour Luc"},"content":{"rendered":"<p>La dur\u00e9e de vie, exprim\u00e9 en heures, d&#8217;une ampoule de voiture\u00a0, est une variable al\u00e9atoire qui suit une loi exponentielle de param\u00e8tre\u00a0<img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/math\/e\/0\/5\/e05a30d96800384dd38b22851322a6b5.png\" alt=\"\\lambda\" \/>\u00a0\u00a0, o\u00f9 <img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/math\/e\/0\/5\/e05a30d96800384dd38b22851322a6b5.png\" alt=\"\\lambda\" \/>\u00a0est un r\u00e9el strictement positif.<\/p>\n<p>1)Sachant que P(X&lt;1000)=0.229, d\u00e9terminer la valeur exacte de\u00a0<img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/math\/e\/0\/5\/e05a30d96800384dd38b22851322a6b5.png\" alt=\"\\lambda\" \/>, puis en donner une valeur approch\u00e9e \u00e0 10^(-5) pr\u00e8s.<\/p>\n<p>2) Sachant qu&#8217;une ampoule a fonctionn\u00e9 plus de 3000heures, quelle est la probabilit\u00e9 qu&#8217;elle tombe en panne avant 4000heures?<\/p>\n<p>3)Determiner la dur\u00e9e moyenne de vie d&#8217;une ampoule \u00e9lectrique ( on arrondira \u00e0 l&#8217;heure pr\u00e8s)<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>La dur\u00e9e de vie, exprim\u00e9 en heures, d&#8217;une ampoule de voiture\u00a0, est une variable al\u00e9atoire qui suit une loi exponentielle de param\u00e8tre\u00a0\u00a0\u00a0, o\u00f9 \u00a0est un r\u00e9el strictement positif. 1)Sachant que P(X&lt;1000)=0.229, d\u00e9terminer la valeur exacte de\u00a0, puis en donner une valeur approch\u00e9e \u00e0 10^(-5) pr\u00e8s. 2) Sachant qu&#8217;une ampoule a fonctionn\u00e9 plus de 3000heures, quelle [&hellip;]<\/p>\n","protected":false},"author":29,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/posts\/194"}],"collection":[{"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/users\/29"}],"replies":[{"embeddable":true,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/comments?post=194"}],"version-history":[{"count":1,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/posts\/194\/revisions"}],"predecessor-version":[{"id":196,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/posts\/194\/revisions\/196"}],"wp:attachment":[{"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/media?parent=194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/categories?post=194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/tags?post=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}