Combining Random Variables

AP Statistics· difficulty 4/5

For RVs X, Y and constants a, b: E(aX + bY) =

A
$0$
B
$a + b$
C
$a\cdotE(X) + b\cdotE(Y)$
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D
$(a + b)\cdotE(X)\cdotE(Y)$

Explanation

Expectation is linear regardless of dependence.

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