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The length and width (X and Y, in cm, respectively) of a widget have the distribution...

The length and width (X and Y, in cm, respectively) of a widget have the distribution f(x, y) = 3/2 x^2 y, 0 ≤ x ≤ 1, 0 ≤ y ≤ 2. What is the probabililty that a randomly selected widget will be less than 0.5cm long and less than 1 cm wide?

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