aleem0891 aleem0891
  • 19-01-2018
  • Mathematics
contestada

Prove that E(cX)=cE(X), where c is a constant.

Respuesta :

mathmate
mathmate mathmate
  • 19-01-2018
By definition:
E(x)
= ( ∑ xi )/ n

this means that
E(cx)
= ( ∑ cxi )/ n
= ( c ∑ xi )/ n    [ by taking out the common factor c]
= c ( ∑ xi )/ n
= c E(x)

Conclusion: proved  E(cx)=cE(x)
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