dmoulthrop2089 dmoulthrop2089

16-12-2019
Mathematics

contestada

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

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LammettHash LammettHash

16-12-2019

Expectation is linear in the sense that

[tex]E[2X+3Y]=E[2X]+E[3Y]=2E[X]+3E[Y][/tex]

so that

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

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