Suppose that X and Y are independent random variables with the probability densities given below. Find the expected value of Z=XY. 162 X³ g(x) = 0₁ -. x>9, elsewhere The expected value of Z = XY is. (Simplify your answer.) h(y) = 0, 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.
162
x³
0₁ elsewhere
g(x) =
.x>9,
The expected value of Z = XY is
(Simplify your answer.)
h(y) =
0,
0<y<4,
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. 162 x³ 0₁ elsewhere g(x) = .x>9, The expected value of Z = XY is (Simplify your answer.) h(y) = 0, 0<y<4, elsewhere
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