{"id":219,"date":"2015-03-19T08:41:59","date_gmt":"2015-03-19T07:41:59","guid":{"rendered":"http:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/?p=219"},"modified":"2015-08-13T17:32:26","modified_gmt":"2015-08-13T15:32:26","slug":"exercice-pour-chauvin","status":"publish","type":"post","link":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/2015\/03\/19\/exercice-pour-chauvin\/","title":{"rendered":"Exercice pour Chauvin."},"content":{"rendered":"<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\"><i><span style=\"text-decoration: underline\">(Tout d&#8217;abord je tiens \u00e0 pr\u00e9ciser que certaines informations manquent, les emplacements de celles-ci sont repr\u00e9sent\u00e9s par\u00a0: <\/span><\/i><i><span style=\"text-decoration: underline\"><b>(&#8230;)<\/b><\/span><\/i>, je vais donc te les envoyer par mail ou Facebook).<\/span><\/span><\/p>\n<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\">Deux automobilistes attendent \u00e0 un p\u00e9age sur une autoroute, la dur\u00e9e qui s&#8217;\u00e9coule entre eux est repr\u00e9sent\u00e9 par la variable al\u00e9atoire X qui suit une loi exponentielle de param\u00e8tre \u03bb. La probabilit\u00e9 pour un automobiliste d&#8217;attendre moins de t minutes est d\u00e9finie par (\u2026). et la dur\u00e9e moyenne d&#8217;attente est donn\u00e9 par (\u2026).<\/span><\/span><\/p>\n<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\">1. A l&#8217;aide du calcul d&#8217;int\u00e9grale, calculer (\u2026) en fonction de t. En d\u00e9duire que la dur\u00e9e moyenne d&#8217;attente est de (\u2026). <\/span><\/span><\/p>\n<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\">2. La dur\u00e9e moyenne d&#8217;attente \u00e9tant de 7 minutes, quelle est la probabilit\u00e9 d&#8217;attendre\u00a0:<\/span><\/span><\/p>\n<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\">-plus de 7 minutes ? <\/span><\/span><\/p>\n<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\">-plus de 15 minutes ? <\/span><\/span><\/p>\n<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\">3. Sachant que l&#8217;automobiliste n\u00b01 a d\u00e9j\u00e0 attendu 15 minutes, quelle est la probabilit\u00e9 qu&#8217;il attende encore 7 minutes ?\u00a0 <\/span><\/span><\/p>\n<p><span style=\"font-family: sans-serif\"><span style=\"font-size: large\">4. Comment peut-on interpr\u00e9ter ce r\u00e9sultat ? <\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>(Tout d&#8217;abord je tiens \u00e0 pr\u00e9ciser que certaines informations manquent, les emplacements de celles-ci sont repr\u00e9sent\u00e9s par\u00a0: (&#8230;), je vais donc te les envoyer par mail ou Facebook). Deux automobilistes attendent \u00e0 un p\u00e9age sur une autoroute, la dur\u00e9e qui s&#8217;\u00e9coule entre eux est repr\u00e9sent\u00e9 par la variable al\u00e9atoire X qui suit une loi exponentielle [&hellip;]<\/p>\n","protected":false},"author":30,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[7],"tags":[],"_links":{"self":[{"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/posts\/219"}],"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\/30"}],"replies":[{"embeddable":true,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/comments?post=219"}],"version-history":[{"count":4,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/posts\/219\/revisions"}],"predecessor-version":[{"id":227,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/posts\/219\/revisions\/227"}],"wp:attachment":[{"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/categories?post=219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/portail.pmoreau.ac-reunion.fr\/wordpress\/mathsts\/wp-json\/wp\/v2\/tags?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}