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ercise Let X and Y be random variables with joint pdf f(r, y) = { exp(-(x + y), if r> 0, y >0 otherwise Let (X) V =Y A (a) Show that the joint pdf for U, V is of the form f(r, y)= exp(-u- v), if (u, v) E A 0. otherwise where A is a subset of the (u, v) plane that you should determine. * (b) Find the marginal pdf of U. Dr. Asieh Abtahi - Faculty of Mathematics and Statistics -

ercise Let X and Y be random variables with joint pdf f(r, y) = { exp(-(x + y), if r> 0, y >0 otherwise Let (X) V =Y A (a) Show that the joint pdf for U, V is of the form f(r, y)= exp(-u- v), if (u, v) E A 0. otherwise where A is a subset of the (u, v) plane that you should determine. * (b) Find the marginal pdf of U. Dr. Asieh Abtahi - Faculty of Mathematics and Statistics -

MATLAB: An Introduction with Applications
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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ぐ1- YA\ ノ Exercise Let X and Y be random variables with joint pdf f(x, y) = texp(-(x+y), if a 2 0, y 20 otherwise 3. Let = ;(x -Y), V = Y A (a) Show that the joint pdf for U, V is of the form f(x, y) = exp(-u – v), if (u, v) E A otherwise where A is a subset of the (u, v) plane that * (b) Find the marginal pdf of U. you should determine. Dr. Asieh Abtahi - Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran
Transcribed Image Text:ぐ1- YA\ ノ Exercise Let X and Y be random variables with joint pdf f(x, y) = texp(-(x+y), if a 2 0, y 20 otherwise 3. Let = ;(x -Y), V = Y A (a) Show that the joint pdf for U, V is of the form f(x, y) = exp(-u – v), if (u, v) E A otherwise where A is a subset of the (u, v) plane that * (b) Find the marginal pdf of U. you should determine. Dr. Asieh Abtahi - Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran
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