Draw the rectangular region defined by 0<x<2 and 2<y<4. Then:

(i)Draw the line x + y = 3. Shade the region of the rectangle enclosed by the line. Integrate the joint pdf over that region. From the sketch it should be clear that:

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Note: You should not be attempting questions like this until you have learnt how to evaluate double integrals.

(ii)You should know that .

Draw the horizontal line y = 5/2. Draw the vertical line x = 3/2. Then it should be clear that:

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