Suppose it is relatively easy to generate random variables from any of the m cumu- lative distribution functions F1(x); F2(x); F3(x); F4(x); : : : ; Fm(x). Given this, how would you generate a random variable having the cumulative distribution function F(x) = Xm j=1 pjFj(x): where Pm j=1 pj = 1? 2