Given two independent random variables, X and Y, and their respective cumulative distribution functions (cdf), F(x) and G(y), write an expression for the cdf of Z, when: a) Z=X+Y b) Z=XY c) Z=X/Y (X,Y>0) (X,Y>0)

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Given two independent random variables, X and Y, and their respective cumulative
distribution functions (cdf), F(x) and G(y), write an expression for the cdf of Z, when:
a) Z=X+Y
b) Z=XY
c) Z=X/Y
d) Z= smaller of X and Y
e) Z= larger ofX and Y
(X,Y>0)
(X,Y>0)
Transcribed Image Text:Given two independent random variables, X and Y, and their respective cumulative distribution functions (cdf), F(x) and G(y), write an expression for the cdf of Z, when: a) Z=X+Y b) Z=XY c) Z=X/Y d) Z= smaller of X and Y e) Z= larger ofX and Y (X,Y>0) (X,Y>0)
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