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In Exercise 5.12, we were given the following joint probability density
Are Y1 and Y2 independent?
5.12 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
(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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Chapter 5 Solutions
Mathematical Statistics with Applications
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill