The joint probability density function of two random variables (X and Y) is given by fX,Y (x,
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The joint probability density function of two random variables (X and Y) is given by fX,Y (x, y) = ( C √y (y ^(α+1)) exp {( − y(2β+x ^2 ) )/2 } , x ∈ (−∞,∞), y ∈ [0,∞), 0 otherwise. (a) Find C. (b) Find the marginal density of Y . What type of distribution does Y follow? (c) Find the conditional density of X | Y . What type of distribution is this?
Related Book For
Probability & Statistics for Engineers & Scientists
ISBN: 978-0130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying
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