Puas muaj xwm txheej yuav muaj kev ywj pheej?

2024 Tus sau: Lynn Donovan | [email protected]. Kawg hloov kho: 2023-12-15 23:47

A xwm yeem tshwm sim yog cov qhov tshwm sim tias ib qho xwm txheej tau tshwm sim, suav nrog cov ntaub ntawv ntxiv txog qhov tshwm sim ntawm qhov kev sim. Ob qhov xwm txheej A thiab B yog ywj siab yog tias qhov tshwm sim P(A∩B) ntawm lawv txoj kev sib tshuam A ∩ B sib npaug rau cov khoom P(A) · P(B) ntawm lawv tus kheej Qhov yuav tshwm sim.

Ua raws li qhov no hauv kev txiav txim siab, puas yog qhov muaj feem cuam tshuam yog nyob ntawm?

Yam yuav tshwm sim yog qhov tshwm sim ntawm qhov xwm txheej thib ob tau muab thawj qhov xwm txheej twb tshwm sim lawm. Qhov no yog conditional probability nrog ob nyob xwm txheej. A nyob qhov tshwm sim yog thaum ib qho xwm txheej cuam tshuam qhov tshwm sim ntawm lwm qhov xwm txheej hauv a qhov tshwm sim xwm txheej.

Kuj Paub, dab tsi yog tus qauv rau qhov tshwm sim ntawm cov xwm txheej uas tsis muaj kev ywj pheej? Nyob qhov twg xwm txheej A thiab B yog ywj siab (qhov twg xwm txheej A muaj tsis muaj cuam tshuam rau Qhov tshwm sim tshwm sim B), ua conditional probability ntawm qhov tshwm sim B muab xwm txheej A yog qhov yooj yim Qhov tshwm sim tshwm sim B, uas yog P (B). P(A and B) = P(A)P(B|A).

Ntawm no, conditionally ywj siab txhais li cas?

Hauv lwm lo lus, thiab yog conditionally ywj siab muab yog thiab tsuas yog, muab kev paub uas tshwm sim, kev paub txog seb puas muaj tshwm sim tsis muaj ntaub ntawv hais txog qhov yuav tshwm sim, thiab kev paub txog seb puas muaj tshwm sim tsis muaj ntaub ntawv hais txog qhov yuav tshwm sim. tshwm sim.

Puas yog kev ywj pheej hais txog kev ywj pheej ywj pheej?

3 Teb. Kev ywj pheej ua tsis yog imply conditional ywj pheej : Piv txwv li, ywj siab random variables tsis tshua muaj ywj siab conditionally ntawm lawv cov lej lossis ntawm lawv qhov siab tshaj plaws.