Given that $X$ and $Y$ are independent variables such that $\mathrm{E}(X)=-3$, \(\ma

Question

Given that $X$ and $Y$ are independent variables such that $\mathrm{E}(X)=-3$, $\mathrm{Var}(X)=5$, $\mathrm{E}(Y)=3$ and $\mathrm{Var}(Y)=14$. Find the expectation and variance of $5X+6Y$ $-4X-7Y$ $(X_{1}+X_{2}+....X_{5})-(Y_{1}+Y_{2}+...+Y_{7})$

Accepted Answer

(i) $E=3$, $\operatorname{Var}=629$; (ii) $E=-9$, $\operatorname{Var}=766$; (iii) $E=-36$, $\operatorname{Var}=123$

Discrete Random Variables (DRV)

Discrete Random Variables (DRV)

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