The joint distribution of amount of pollutant emitted from a smokestack without a

Chapter 6, Problem 6.6

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The joint distribution of amount of pollutant emitted from a smokestack without a cleaning device (Y1) and a similar smokestack with a cleaning device (Y2) was given in Exercise 5.10 to be f (y1, y2) = $ 1, 0 y1 2, 0 y2 1, 2y2 y1, 0, elsewhere. The reduction in amount of pollutant due to the cleaning device is given by U = Y1 Y2. a Find the probability density function for U. b Use the answer in part (a) to find E(U). Compare your results with those of Exercise 5.78(c)

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