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Category > Statistics Posted 24 Apr 2017 My Price 2.00

Show that 2k − k − 1 conditions must be satisfied for k events to be independent.

 

Show that 2k − k − 1 conditions must be satisfied for k events to be independent.

 

 

 
 

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Status NEW Posted 24 Apr 2017 04:04 PM My Price 2.00

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file 1493051485-Answer.docx preview (95 words )
S-----------how----------- th-----------at -----------2kÂ----------- âˆ-----------’ k----------- âˆ-----------’ 1----------- co-----------ndi-----------tio-----------ns -----------mus-----------t b-----------e s-----------ati-----------sfi-----------ed -----------for----------- k -----------eve-----------nts----------- to----------- be----------- in-----------dep-----------end-----------ent-----------. -----------  ----------- Ju-----------l 1-----------2 2-----------016----------- 07-----------:41----------- PM----------- A-----------nsw-----------er:----------- T-----------o p-----------rov-----------e t-----------his----------- we----------- ca-----------n s-----------ee -----------two----------- e-----------xam-----------ple-----------s w-----------her-----------e k----------- = -----------2 a-----------nd -----------k =----------- 3,----------- (P-----------(A,-----------B,C-----------,D.-----------...-----------) m-----------ean-----------s p-----------rob-----------abi-----------lit-----------y o-----------f A----------- in-----------ter-----------sec-----------tio-----------n B----------- in-----------ter-----------sec-----------tio-----------n C----------- in-----------ter-----------sec-----------tio-----------n D----------- in-----------ter-----------sec-----------tio-----------n a-----------nd -----------so -----------on.-----------.) -----------Whe-----------n k----------- = -----------2 t-----------he -----------onl-----------y c-----------ond-----------iti-----------on -----------tha-----------t s-----------hou-----------ld -----------be -----------sat-----------isf-----------ied----------- is----------- P(-----------A,B-----------) =----------- P(-----------A)P-----------(B)----------- Wh-----------en -----------k =----------- 3 -----------the----------- co-----------ndi-----------tio-----------ns -----------to -----------be -----------sat-----------isf-----------ied----------- ar-----------e P-----------(A,-----------B) -----------= P-----------(A)-----------P(B-----------),
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