Let X and Y be two continuous random variables with the joint probability distribution function: f(x, y) = {* + y, 0

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Question *
Let X and Y be two continuous random variables with the joint probability distribution
function:
f(x, y) = {* *
fx +y, 0<x <1 and 0 <y <1
otherwise
Suppose that the marginal functions are given by:
1
x+
2'
1
0 <x<1
y +;,
0<y<1
g(x) :
0)
and h(y) =
%3D
otherwise
otherwise
If E(XY) = Then Var(X + Y +9) is equal to:
131/144
None of these
20/144
O 24/144
Transcribed Image Text:Question * Let X and Y be two continuous random variables with the joint probability distribution function: f(x, y) = {* * fx +y, 0<x <1 and 0 <y <1 otherwise Suppose that the marginal functions are given by: 1 x+ 2' 1 0 <x<1 y +;, 0<y<1 g(x) : 0) and h(y) = %3D otherwise otherwise If E(XY) = Then Var(X + Y +9) is equal to: 131/144 None of these 20/144 O 24/144
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