In Exercise 5.10, we proved that f (y1, y2) = $ 1, 0 y1 2, 0 y2 1, 2y2 y1, 0, elsewhere
Chapter 5, Problem 5.78(choose chapter or problem)
In Exercise 5.10, we proved that f (y1, y2) = $ 1, 0 y1 2, 0 y2 1, 2y2 y1, 0, 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. a Find E(Y1) and E(Y2). b Find V(Y1) and V(Y2). c The random variable Y1 Y2 represents the amount by which the weight of pollutant can be reduced by using the cleaning device. Find E(Y1 Y2). d Find V(Y1 Y2). Within what limits would you expect Y1 Y2 to fall?
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