Question Number 145467 by puissant last updated on 05/Jul/21 Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\left.{a}\right) \\ $$$$\mathrm{Pour}\:\mathrm{former}\:\mathrm{une}\:\mathrm{partie}\:\mathrm{B}\:\mathrm{de}\:\mathrm{E}\:\mathrm{a}\:{k} \\ $$$$\mathrm{elements},\:\mathrm{qui}\:\mathrm{contienne}\:\mathrm{un}\:\mathrm{seul} \\ $$$$\mathrm{elements}\:\mathrm{de}\:\mathrm{A},\:\mathrm{il}\:\mathrm{faut}\:: \\ $$$$−\mathrm{choisir}\:\mathrm{un}\:\mathrm{element}\:\mathrm{de}\:\mathrm{A},\:\mathrm{ce}\:\mathrm{qui}\:\mathrm{se}…
Question Number 145463 by puissant last updated on 05/Jul/21 Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\left.{a}\right)\: \\ $$$$\ast{f}\:{est}\:{absolument}\:{continue}\:\mathrm{et} \\ $$$$\mathrm{notamment}\:\mathrm{en}\:{x}=\mathrm{10}\::\:\frac{\mathrm{10}}{{k}}\:=\:\frac{\mathrm{20}−\mathrm{10}}{{k}} \\ $$$$\ast{son}\:{integrale}\:{vaut}\:\mathrm{1}\:: \\ $$$$\int_{\mathrm{0}}…
Question Number 145373 by puissant last updated on 04/Jul/21 Answered by Olaf_Thorendsen last updated on 04/Jul/21 $$\left.\mathrm{1}{a}\right) \\ $$$$ \\ $$$$\mathrm{Le}\:\mathrm{rat}\:\mathrm{n}'\mathrm{a}\:\mathrm{pas}\:\mathrm{de}\:\mathrm{memoire}. \\ $$$$\mathrm{A}\:\mathrm{chaque}\:\mathrm{essai},\:\mathrm{il}\:\mathrm{a}\:\mathrm{3}\:\mathrm{chances}\:\mathrm{sur}\:\mathrm{4}\:\mathrm{de} \\ $$$$\mathrm{choisir}\:\mathrm{une}\:\mathrm{mauvaise}\:\mathrm{porte}\:\mathrm{et}\:\mathrm{une}\:\mathrm{chance}…
Question Number 145290 by ArielVyny last updated on 04/Jul/21 Answered by ArielVyny last updated on 04/Jul/21 $${exercice}\:\mathrm{2}\:{Nombre}\:{de}\:{Bell} \\ $$ Answered by Olaf_Thorendsen last updated on…
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Question Number 145134 by ArielVyny last updated on 02/Jul/21 $${On}\:{dispose}\:{de}\:{N}+\mathrm{1}\:{urnes}.{l}'{urne}\:{U}_{{k}} \\ $$$${contient}\:{k}\:{boules}\:{blanches}\:{et}\:{N}−{k}\:{boules} \\ $$$${noires}.{on}\:{tire}\:{successivement}\:{sans}\: \\ $$$${remise}\:{n}\:{boules}\:{de}\:{l}'{urne}\:{et}\:{on}\:{note}\: \\ $$$${An}\:{l}'{evenement}\:''{choisir}\:{n}\:{boules}\:{noires} \\ $$$${lors}\:{des}\:{n}\:{premiers}\:{tirages}''.\:{Determiner} \\ $$$${P}\left({An}\right).\:{on}\:{notera}\:{U}_{{k}} =''{choisir}\:{l}'{urne}\:{k}'' \\ $$…
Question Number 145136 by ArielVyny last updated on 02/Jul/21 $${Soit}\:{X}\:{une}\:{variable}\:{aleatoire}\:{de}\:{loi} \\ $$$$\left.{geometrique}\:{de}\:{parametre}\:{p}\in\right]\mathrm{0}.\mathrm{1}\left[\right. \\ $$$${calculer}\:{P}\left(\left\{{X}\geqslant\mathrm{4}\right\}\right) \\ $$ Answered by Olaf_Thorendsen last updated on 03/Jul/21 $${P}\left({X}=\:{k}\right)\:=\:{q}^{{k}−\mathrm{1}} {p}\:=\:\left(\mathrm{1}−{p}\right)^{{k}−\mathrm{1}}…