Question: (a) The random variable X has p.d.f. f(x) -1 (a) The random variable X has p,d 1 O elsewhere Given Y 4 find the p,d.f,

(a) The random variable X has p.d.f. f(x) -1

(a) The random variable X has p,d 1 O elsewhere Given Y 4 find the p,d.f, ofY, say g(y). (b) Suppose X and Y are independentrandom variables with X and using moment generating function the distribution of ZaX+ b Ys where as b are The joint probability densify fimction-ofrandom variables X and Y _is given by fxx(xsy) 0 Find (i) the value of the eonstant k, (8 Mark) (5 Mark) (4 Marks) (3 Marks)

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