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Memory Based GATE DA 2024 | Question: 15

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Consider the joint probability density function given by:
$$
f(x, y)=
\begin{cases}
    2xy & \text{if } 0 < x < 2 \text{ and } 0 < y < x \\
    0 & \text{otherwise}
\end{cases}
$$
\noindent Determine the conditional expectation $E(Y | X = 1.5)$.
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