The joint PDF of X and Y is given by: 2e^{x}e^{-2y} for 0 < x < infinity, 0 < y < infinity and 0 otherwise. Find P[X < Y].

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# PDF of X and Y is given by

The joint PDF of X and Y is given by: 2e^{x}e^{-2y} for 0 < x < infinity, 0 < y < infinity and 0 otherwise. Find P[X < Y].