The temperatures \(X\) and \(Y\), measured daily at the same time at two different locations, have the joint density

\[f_{X, Y}(x, y)=\frac{x y}{3} \exp \left[-\frac{1}{2}\left(x^{2}+\frac{y^{3}}{3}\right)\right], 0 \leq x, y \leq \infty\]

Determine the probabilities

\[P(X>Y) \text { and } P(X