+ Let (X, : n 2 1) be an infinite sequence of random variables. For each n, we denote the density function for X, by fx,, : IR - R. Consider the following statements: of Statement A: If fx, (x ) = 2n - 2n x x E [0, =] 0 otherwise then X,, converges in distribution as n - co. Statement B: If 1 fx, ( x ) = e 2n V2an for x E R, then X, converges in distribution as n - co. Statement C: If fx, (x) = (n+1)x" , for x E [0, 1] and fx, (x) = 0 for x # [0, 1], then X, converges in distribution as n -+ co. Which of Statements A, B,C are true? [A partial mark of 0.33 will be awarded if the answer for Statements A and B are correct.] O a. None of A, B, C are true. O b. B and C only O c. A only O d. C only O e. A,B,C O f. A and B only O g. A and C only O h. Bonly