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
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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