Let Y1 and Y2 denote the proportions of two different types of components in a sample

Chapter 5, Problem 5.12

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Let Y1 and Y2 denote the proportions of two different types of components in a sample from a mixture of chemicals used as an insecticide. Suppose that Y1 and Y2 have the joint density function given by f (y1, y2) = $ 2, 0 y1 1, 0 y2 1, 0 y1 + y2 1, 0, elsewhere. (Notice that Y1 + Y2 1 because the random variables denote proportions within the same sample.) Find a P(Y1 3/4, Y2 3/4). b P(Y1 1/2, Y2 1/2).

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