Given that $X$ and $Y$ are independent variables such that $\mathrm{E}(X)=10$, \(\ma

Question

Given that $X$ and $Y$ are independent variables such that $\mathrm{E}(X)=10$, $\mathrm{Var}(X)=12$, $\mathrm{E}(Y)=5$ and $\mathrm{Var}(Y)=8$. Find the expectation and variance of $4X + 2Y$ $3X - 4Y$ $X_1 + X_2 + X_3 - Y_1 - Y_2 - Y_3 - Y_4$

Accepted Answer

(i) $E=50$, $\operatorname{Var}=224$; (ii) $E=10$, $\operatorname{Var}=236$; (iii) $E=10$, $\operatorname{Var}=68$

Discrete Random Variables (DRV)

Discrete Random Variables (DRV)

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