Given the following bivariate probability distribution function, obtain: (see table) ( 25 marks)
X
-1
0
1
Y
0
1/15
2/15
1/15
1
3/15
2/15
1/15
2
2/15
1/15
2/15
i) Marginal distributions of X and Y
ii) The conditional distributions X given Y = 2.
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