If $X$ and $Y$ are two independent random variables with $\mathrm{E}\left( X \right)=0.4$

Question

If $X$ and $Y$ are two independent random variables with $\mathrm{E}\left( X \right)=0.4$, $\mathrm{E}\left( Y \right)=0.7$, $\mathrm{Var}\left( X \right)=0.2$ and $\mathrm{Var}\left( Y \right)=0.3$, find $\mathrm{E}\left( Y-X \right)$, $\mathrm{E}\left( 2X+3Y \right)$, $\mathrm{Var}\left( Y-X \right)$ and $\mathrm{Var}\left( 3X+Y \right)$.

Accepted Answer

$E(Y-X)=0.3$, $E(2X+3Y)=2.9$, $\operatorname{Var}(Y-X)=0.5$, $\operatorname{Var}(3X+Y)=2.1$

Discrete Random Variables (DRV)

Discrete Random Variables (DRV)

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