4. Let X and Y joint density function \begin{equation*} f(x, y) = \begin{cases} 2e^{-2(x+y)} & \text{if } 0 < x < y < \infty \\ 0 & \text{elsewhere} \end{cases} \end{equation*} What is the expected value of Y, given X = x, for x > 0 ? 5. Let X and Y joint density function
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