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4. (i) Find the marginal probability distributions for the random variables X1 and X2 with joint...

4. (i) Find the marginal probability distributions for the random variables X1 and X2 with joint pdf

                    f(x1, x2) = 12x1x2(1-x2) , 0 < x1 <1   0 < x2 < 1

  1. , otherwise

            (ii) Calculate E(X1) and E(X2)    

(iii) Are the variables X1 ­and X2 stochastically independent?

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