4. The joint density function of X and Y is given by
\[ f(x) = \begin{cases} 2xe^{-x}e^{-2y} & x > 0, y > 0 \\ 0 & \text{otherwise.} \end{cases} \]
Compute \( P\{X<Y\} \). (10 分)
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4. The joint density function of X and Y is given by
\[ f(x) = \begin{cases} 2xe^{-x}e^{-2y} & x > 0, y > 0 \\ 0 & \text{otherwise.} \end{cases} \]
Compute \( P\{X<Y\} \). (10 分)