Two independent random variables X and Y have marginal distribution functions (0, ifx<1 F,(x) = {, if1sx<2 1, ifx22 and (0, ify<0 F,(y)= , ify20 Obtain the joint distribution function of X and Y.

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Two independent random variables X and Y have marginal distribution functions
(0, ifx<1
1
if1sx<2
2'
F;(x) =-
1, ifx22
and
(0, ify<0
F,(y)={, 1
11-3e"-국e, ify z0'
2
Obtain the joint distribution function of X and Y.
Transcribed Image Text:Two independent random variables X and Y have marginal distribution functions (0, ifx<1 1 if1sx<2 2' F;(x) =- 1, ifx22 and (0, ify<0 F,(y)={, 1 11-3e"-국e, ify z0' 2 Obtain the joint distribution function of X and Y.
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