show solutions Let Z and X be independent random variables where Z ~₂-x/²1(0,∞)(x).f(x) =1I(k/2)2k/2xk/2-1Define T =eZX/kFind the joint distribution of T and U and the marginal distribution of T.N(0, 1) andand U = X.

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Answered: Let Z and X be independent random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let Z and X be independent random variables where Z~ N(0, 1) and f(x) = = 1 I(k/2)2k/2xk/2-1e-x/21(0,0)(x). Z √X/k Find the joint distribution of T and U and the marginal distribution of T. Define T = and U = X.