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The joint probability density function of X and Y is given by 1/2 x>0,y> 0, x+ y < 2 f(x, y) = {"0 otherwise Answer the following: (a) Find P(X+Y > 2/3). (b) Marginal of X (c) Marginal of Y, (d) Are X & Y independent?

The joint probability density function of X and Y is given by 1/2 x>0,y> 0, x+ y < 2 f(x, y) = {"0 otherwise Answer the following: (a) Find P(X+Y > 2/3). (b) Marginal of X (c) Marginal of Y, (d) Are X & Y independent?

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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The joint probability density function of X and Y is given by f(x.y) = {"," {1/2 x>0, y > 0, x + y< 2 otherwise Answer the following: (a) Find P(X+Y > 2/3). (b) Marginal of X (c) Marginal of Y, (d) Are X & Y independent?
Transcribed Image Text:The joint probability density function of X and Y is given by f(x.y) = {"," {1/2 x>0, y > 0, x + y< 2 otherwise Answer the following: (a) Find P(X+Y > 2/3). (b) Marginal of X (c) Marginal of Y, (d) Are X & Y independent?
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