Answer :

mathmate
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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