[Steps Shown] Consider the following joint probability density function, of the random variables (X , Y): f(x,y)=(3x-y)/(9) for (x,y) ∈ (1,3)* (1,2).
Question: Consider the following joint probability density function, of the random variables ( X , Y ):
\[f\left( x,y \right)=\frac{3x-y}{9}\]for \(\left( x,y \right)\in \left( 1,3 \right)\times \left( 1,2 \right)\).
- Find the marginal distributions of X and Y .
- Are X and Y independent?
- Find \(\Pr \left( X>2 \right)\)
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