3. Consider two continuous random variables X and Y with the following joint PD PX.Y(,u)= 0, otherwise (a) Compute the probability P(0

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3. Consider two continuous random variables X and Y with the following joint PDE
PX.Y(r.)
%3D
0.
otherwise
(a)
Compute the probability P(0 <x<0<Y <-
$) Compute the two marginal PDFS.
(b)
(c)
Are X and Y independent? Why or why not?
Transcribed Image Text:3. Consider two continuous random variables X and Y with the following joint PDE PX.Y(r.) %3D 0. otherwise (a) Compute the probability P(0 <x<0<Y <- $) Compute the two marginal PDFS. (b) (c) Are X and Y independent? Why or why not?
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