Révisi nurutkeun 3 Pébruari 2017 11.21 édit Ilhambot (obrolan \| kontribusi) Bot 20.027 suntingan m Ngarapihkeun éjahan, replaced: ea → éa (5), eo → éo ← Éditan saméméhna		Révisi nurutkeun 8 Pébruari 2017 06.09 édit bolaykeun Ilham.nurwansah (obrolan \| kontribusi) Kuncén 15.718 suntingan m Ngarapihkeun éjahan, replaced: bebas → bébas (4), sejen → séjén (2) using AWB Éditan salajengna →
Baris ka-1: {{tarjamahkeun\|Inggris}} Dina [[tiori probabiliti]], keur nyebutkeun yén dua [[event (probability theory)\|kajadian]] '''independent''' atawa '''mandiri''' dumasar kana pamikiran nu gampang yén pangaweruh kana ayana hiji kajadian lain disababkeun ku ayana pangaruh kamungkinan tina hiji kajadian ~~sejenna~~séjénna. Upamana, keur meunang angka "1" dina sakali ngalungkeun dadu sarta meunang deui angka "1" dina alungan dadu kadua mangrupa conto kajadian mandiri. Hal nu sarupa, waktu urang nyebutkeun dua [[variabel acak]] ~~bebas~~bébas, we intuitively méan that knowing something about the value of one of them does not yield any information about the value of the other. For example, the number appéaring on the upward face of a die the first time it is thrown and that appéaring the second time are independent. == Kajadian bebas == Baris ka-40: The méasure-théoretically inclined may prefer to substitute events [''X'' ∈ ''A''] for events [''X'' ≤ ''a''] in the above definition, where ''A'' is any [[Borel algebra\|Borel set]]. That definition is exactly equivalant to the one above when the values of the random variables are [[real number]]s. It has the advantage of working also for complex-valued random variables or for random variables taking values in any [[topological space]]. Lamun ''X'' sarta ''Y'' ~~bebas~~bébas, mangka [[nilai ekspektasi\|operator ekspektasi]] ''E'' mibanda sipat nu hade :E[''X''· ''Y''] = E[''X''] · E[''Y''] Baris ka-48: :var(''X'' + ''Y'') = var(''X'') + var(''Y''). Lamun ''X'' jeung ''Y'' ~~bebas~~bébas, [[kovarian]] cov(''X'',''Y'') sarua jeung nol; dina hal ~~sejen~~séjén mibanda :var(''X'' + ''Y'') = var(''X'') + var(''Y'') + 2 cov(''X'', ''Y''). (''Pernyataan'' sabalikna yén lamun dua variabel ~~bebas~~bébas mangka kovarian-na sarua jeung nol mangrupa hal nu teu bener. Tempo [[uncorrelated\|taya hubungan]].) Furthermore, if ''X'' and ''Y'' are independent and have [[probability density function\|probability densities]] ''f''<sub>''X''</sub>(''x'') and ''f''<sub>''Y''</sub>(''y''), then the combined random variable (''X'',''Y'') has a joint density

Kamandirian statistik: Béda antarrépisi