Let Y1 and Y2 denote the proportions of two different types of components in a sample from a mixture
Question: 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 ≤ ¾, Y2 ≤ ¾).
b. P(Y1 ≤ ½, Y2 ≤ ½).
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Type of Deliverable: Word Document
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