Q 3 The variance of n observations is σ2 If each observation is multiplied by α, then what - Maths - Statistics

Question

Q   3   T h e   v a r i a n c e   o f   n
  o b s e r v a t i o n s   i s   σ 2   I
f   e a c h   o b s e r v a t i o n   i s   m u
l t i p l i e d   b y   α ,   t h e n   w
h a t   w i l l   b e   t h e   v a r i a n c e
  o f   t h e   n e w   s e t   o f  
o b s e r v a t i o n s ?

Rahul Agrawal · Accepted Answer

Dear Student, Find image<img alt="" src=
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Q 3 . T h e v a r i a n c e o f n o b s e r v a t i o n s i s σ 2 . I f e a c h o b s e r v a t i o n i s m u l t i p l i e d b y α , t h e n w h a t w i l l b e t h e v a r i a n c e o f t h e n e w s e t o f o b s e r v a t i o n s ?

$Q 3 . T h e v a r i a n c e o f n o b s e r v a t i o n s i s σ^{2} . I f e a c h o b s e r v a t i o n i s m u l t i p l i e d b y α, t h e n w h a t w i l l b e t h e v a r i a n c e o f t h e n e w s e t o f o b s e r v a t i o n s ?$