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Let X and Y be two random variables cotinuous with PDF equal to if (x, y) E D fxx(x, y) 0. elsewhere . where D is the region of the plane delimited by three lines: y = 1 (parallel to the r axes), x = 1 (parallel to the y axes), and y = 1- x. Determine 1. the marginal density of fx(x); 2. the conditional density of fY|x; 3. the independence (or dependence) between X and Y.

Let X and Y be two random variables cotinuous with PDF equal to if (x, y) E D fxx(x, y) 0. elsewhere . where D is the region of the plane delimited by three lines: y = 1 (parallel to the r axes), x = 1 (parallel to the y axes), and y = 1- x. Determine 1. the marginal density of fx(x); 2. the conditional density of fY|x; 3. the independence (or dependence) between X and Y.

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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Answer all parts 1, 2, and 3 of the question below. Show all work and steps.

 

Let X and Y be two random variables continuous with PDF equal to if (x, y) E D fx,y (x, y) elsewhere . where D is the region of the plane delimited by three lines: y = 1 (parallel to the x axes), x = 1 (parallel to the y axes), and y = 1 – x. Determine 1. the marginal density of fx(x); 2. the conditional density of fy|X; 3. the independence (or dependence) between X and Y.
Transcribed Image Text:Let X and Y be two random variables continuous with PDF equal to if (x, y) E D fx,y (x, y) elsewhere . where D is the region of the plane delimited by three lines: y = 1 (parallel to the x axes), x = 1 (parallel to the y axes), and y = 1 – x. Determine 1. the marginal density of fx(x); 2. the conditional density of fy|X; 3. the independence (or dependence) between X and Y.
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