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1.Determine the marginal distribution functions of X and Y,i.e Fx(x) and Fy(y). 2. Determine the joint probability density function of X and Y, f(x, y). 3. Determine the marginal probability density function of X and Y, fx(x) and fy (y). 4. Find whether X and Y are independent.

1.Determine the marginal distribution functions of X and Y,i.e Fx(x) and Fy(y). 2. Determine the joint probability density function of X and Y, f(x, y). 3. Determine the marginal probability density function of X and Y, fx(x) and fy (y). 4. Find whether X and Y are 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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Suppose two random variables X and Y have a joint distribution function (cdf) ¹. F(x, y) = 1 0, e - 2x e-y+e-(2x+y), if x>0, y>0 elsewhere 1.Determine the marginal distribution functions of X and Y,i.e Fx(x) and Fy(y). 2. Determine the joint probability density function of X and Y, f(x, y). 3. Determine the marginal probability density function of X and Y, fx(x) and fy (y). 4. Find whether X and Y are independent.
Transcribed Image Text:Suppose two random variables X and Y have a joint distribution function (cdf) ¹. F(x, y) = 1 0, e - 2x e-y+e-(2x+y), if x>0, y>0 elsewhere 1.Determine the marginal distribution functions of X and Y,i.e Fx(x) and Fy(y). 2. Determine the joint probability density function of X and Y, f(x, y). 3. Determine the marginal probability density function of X and Y, fx(x) and fy (y). 4. Find whether X and Y are independent.
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