The random variable X has a range of {0,1,2} and the random variable Y has a range of {1,2}.
The joint distribution of X and Y is given by the following table:
x y Ρ = = ( X x Y y , )
0 1 0.2
0 2 0.1
1 1 0.0
1 2 0.2
2 1 0.3
2 2 0.2
(a) Write down tables for the marginal distribution of X and of Y, i.e. give the values of
Ρ = ( X x) for all x , and of Ρ = (Y y) for all y .
Marginal distribution of X:
x P(X=x)
0 0.3
1 0.2
2 0.5
Marginal distribution of Y:
y P(Y=y)
1 0.5
2 0.5