Let X and Y denote the lifetimes of two different types of components in an electronic system.
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Let X and Y denote the lifetimes of two different types of components in an electronic system. The joint density of X and Y is given by
Show that X and Y are independent. [Hint: A theorem in multivariate probability theory states that X and Y are independent if we can write f(x, y) = g (x)h(y) where g(X) is a nonnegative function of X only and h(Y) is a nonnegative function of Y only.]
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(t xe (x+y)/2 if x> 0; y > 0 f(x, y) = elsewhere
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To show that X and Y are independent we need to find functions gx and ...View the full answer
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Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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