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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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
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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