The value of E(6x) is : (a) 0 (b) 6E(x) (c) 36E(x) (d) E(x)

Question 38 of 41

E(6x)

(a)

0

(b)

6\,E(x)

(c)

36\,E(x)

(d)

E(x)

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Expectation is linear, so $E(6x)=6E(x)$ .

A key property of mathematical expectation is that a constant factor pulls out of the expectation. For any constant $a$ ,

$E(aX) = a\,E(X).$

With $a=6$ :

$E(6X) = 6\,E(X).$

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Q.The value of $E(6x)$ is :