Suppose that X and Y are independent random variables with the probability densities given below. Find the expected value of Z=XY. 81 g(x) = x x> 3, elsewhere The expected value of Z= XY is (Simplify your answer.) - (2) h(y) = zy. 0

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Suppose that X and Y are independent random variables with the probability densities given below. Find the expected
value of Z=XY.
g(x)
=
81
4 x>3,
X
0, elsewhere
The expected value of Z=XY is
(Simplify your answer.)
=
-(.*.
0,
h(y)
0<y<2,
elsewhere
Transcribed Image Text:Suppose that X and Y are independent random variables with the probability densities given below. Find the expected value of Z=XY. g(x) = 81 4 x>3, X 0, elsewhere The expected value of Z=XY is (Simplify your answer.) = -(.*. 0, h(y) 0<y<2, elsewhere
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