In the textbook Exercise 5.10, we had to show that [1, 0< yı < 2, 0 < y2 < 1, 2y2 < yı fV1, y2) = elsewhere is a valid joint probability density function for Y1, the amount of pollutant per sample collected above the stack without the cleaning device, and Y2, the amount collected above the stack with the cleaner. Are the amounts of pollutants per sample collected with and without the cleaning device independent? (Hint: You will need to find the marginal densities for Y1 and Y2 to help you determine this!)

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