Revision as of 00:35, 28 June 2024 by Admin (Created page with "'''Solution: D''' We have <math display = "block"> \begin{aligned} E((X+Y)^2) = E(X^2) + 2E(XY) + E(Y^2) &= 2E(X^2) + E(X)^2 \\ &= \frac{2}{3} + \frac{1}{4} \\ &= \frac{11}{12} \end{aligned} </math>")
Exercise
ABy Admin
Jun 28'24
Answer
Solution: D
We have
[[math]]
\begin{aligned}
E((X+Y)^2) = E(X^2) + 2E(XY) + E(Y^2) &= 2E(X^2) + E(X)^2 \\ &= \frac{2}{3} + \frac{1}{4} \\
&= \frac{11}{12}
\end{aligned}
[[/math]]