Question c) Let X = [X1,X2, Xg] be a three dimensional random vector uniformly distributed on [0,1]x[0,1 ]x[0,1]. Let Y= g(X ), be a two dimensional random vector, where 91X)=X, + Xz. 92(X ) = X2 X3 . Find the density function of Y.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Question c) Let X = [X1,X2, Xg] be a three dimensional random vector uniformly distributed on [0,1]x[0,1 ]x[0,1]. Let Y= g(X ), be a two dimensional random vector, where 91X)=X, + Xz. 92(X ) = X2 X3 . Find the density function of Y.

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