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

(a) mndom variable X hms p.d.C 1 0 elsewhere Given Y 4 X 2 find the p.d.t of Y, say g(y). (b) Suppose X and Y are independent random variables with X and Find using moment generating function the distribution of Z ax + bY, where a, b are constants. nie joint probability density function of random variables X and Y is given by (x, y) = ke-Xe-2y for 0 < x < and 0 < y < oo Find (i) the value of the constant k.