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Category: Probability and Statistics

On-dispose-de-N-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

Question Number 145134 by ArielVyny last updated on 02/Jul/21 OndisposedeN+1urnes.lurneUkcontientkboulesblanchesetNkboulesnoires.ontiresuccessivementsansremisenboulesdelurneetonnoteAnlevenementchoisirnboulesnoireslorsdesnpremierstirages.DeterminerP(An).onnoteraUk=choisirlurnek

A-debating-team-is-to-be-selected-from-a-group-of-8-boys-and-6-girls-in-how-many-ways-can-this-be-done-if-the-team-a-Must-be-either-all-boys-or-all-girls-b-Must-consist-of-two-boys-and-two-gir

Question Number 13336 by tawa tawa last updated on 19/May/17 Adebatingteamistobeselectedfromagroupof8boysand6girls.,inhowmanywayscanthisbedoneiftheteam(a)Mustbeeitherallboysorallgirls(b)Mustconsistoftwoboysandtwogirls Commented by tawa tawa last updated…

soit-X-i-i-1-2-n-une-suite-de-variable-aleartoire-independante-iid-suivant-la-loi-binomiale-B-n-p-montrer-que-X-n-converge-en-loi-vers-E-X-2-montrer-que-1-n-i-1-2-X-i-2

Question Number 143593 by pticantor last updated on 16/Jun/21 soit(Xi),i{1,2,,n}unesuitedevariablealeartoireindependante(iid)suivantlaloibinomialeB(n,p)montrerqueX_nconvergeenloiversE(X)$$\mathrm{2}−\:\boldsymbol{{montrer}}\:\boldsymbol{{que}}\:\frac{\mathrm{1}}{\boldsymbol{{n}}}\underset{{i}=\mathrm{1}} {\overset{\mathrm{2}} {\sum}}\boldsymbol{{X}}_{\boldsymbol{{i}}\:\:} ^{\mathrm{2}} \boldsymbol{{converge}}\:\boldsymbol{{en}}\:\boldsymbol{{loi}}\:\:\boldsymbol{{vers}}\:\:\:\:\:\:\:\:\boldsymbol{{E}}\:\left(\boldsymbol{{X}}^{\mathrm{2}} \right) \