The joint pdf of a bivariate random variable (X,Y) is given by ke-(ax-by) x>0, y>0 fxy(x,y) = 0 otherwise where a and b are positive constants and k is a constant. Determine the value of k. (a) (b) Are X and Y independent?

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The joint pdf of a bivariate random variable (X,Y) is given by
Ske-(ax-by)
x>0, y>0
fxy(x, y) =
0
otherwise
where a and b are positive constants and k is a constant.
Determine the value of k.
(a)
(b)
Are X and Y independent?
Transcribed Image Text:The joint pdf of a bivariate random variable (X,Y) is given by Ske-(ax-by) x>0, y>0 fxy(x, y) = 0 otherwise where a and b are positive constants and k is a constant. Determine the value of k. (a) (b) Are X and Y independent?
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