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3 years ago

9

If X and Y are random variables with E(X) = 6 and E(Y) = 9, then E(2X + 3Y) is: -39-15-27-12

1 answer:

a_sh-v [17]3 years ago

7 0

Expectation is linear in the sense that

$E[2X+3Y]=E[2X]+E[3Y]=2E[X]+3E[Y]$

so that

$E[2X+3Y]=2\cdot6+3\cdots9=12+27=\boxed{39}$

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