Let X be a random variable and let c ∈ R be a real number. Demonstrate that the variance operator V satisfies V [cX] = c 2 · V [X]
[ var (X)= E(X2)-E2(X) ]
[ we know that E(cX)= c E(X)]
hence, proved.
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Let X be a random variable and let c ∈ R be a real number. Demonstrate...
Let X be a random variable and let c ∈ R be a real number. Demonstrate that the expectation operator E satisfies E [cX] = c · E [X].
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