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Given two continuous random variables X and Y, use Theorem 4 to express E(X) in terms of
(a) the joint density of X and Y; (b) the marginal density of X.
Theorem 4
If X and Y are discrete random variables and f(x, y) is the value of their joint probability distribution at (x, y), the expected value of g(X, Y) is
Correspondingly, if X and Y are continuous random variables and f(x, y) is the value of their joint probability density at (x, y), the expected value of g(X, Y) is
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a) What type of research uses numeric measurement data? b) What type of research uses a research hypothesis? c) What type of research does not use statistical data analysis?
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