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8. Say we have a bivariate random vector (X,Y), with support 0 < x < 1 and 0 < y < 1. We are interested in P(|Y – X|< 0.5). Sketch out this region of the support we need to integrate over.

8. Say we have a bivariate random vector (X,Y), with support 0 < x < 1 and 0 < y < 1. We are interested in P(|Y – X|< 0.5). Sketch out this region of the support we need to integrate over.

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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8. Say we have a bivariate random vector (X,Y), with support 0 < x < 1 and 0 < y < 1. We are interested in P(|Y – X| < 0.5). Sketch out this region of the support we need to integrate over. Just a sketch of the graph of the support and shade the area we need to integrate over. If you cannot attach an image, then just describe what the region looks like. Hint: The support itself is the unit square (x from () to 1 and y from 0 to 1). This |Y-X|<0.5 will be a region inside that square.
Transcribed Image Text:8. Say we have a bivariate random vector (X,Y), with support 0 < x < 1 and 0 < y < 1. We are interested in P(|Y – X| < 0.5). Sketch out this region of the support we need to integrate over. Just a sketch of the graph of the support and shade the area we need to integrate over. If you cannot attach an image, then just describe what the region looks like. Hint: The support itself is the unit square (x from () to 1 and y from 0 to 1). This |Y-X|<0.5 will be a region inside that square.
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