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26 April, 10:41

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

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  1. 26 April, 10:44
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    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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