Solved: In Exercise 5.12, we were given the following joint probability density function

Chapter 5, Problem 5.107

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In Exercise 5.12, we were given the following joint probability density function for the random variables Y1 and Y2, which were the proportions of two components in a sample from a mixture of insecticide: f (y1, y2) = 2, 0 y1 1, 0 y2 1, 0 y1 + y2 1, 0, elsewhere. For the two chemicals under consideration, an important quantity is the total proportion Y1 +Y2 found in any sample. Find E(Y1 + Y2) and V(Y1 + Y2).

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