Example: the distribution function of the random variable x is given by 0x<0 0x<1 f(x)= 1sx<2 3 2x<3 1 3x a graph of f(x) is presented in figure. compute (a) p{

Example: The distribution function of the random variable X is given by 0x<0 0x<1 F(x)= 1Sx<2 3 2x<3 1 3x A graph of F(x) is presented in Figure. Compute (a) P{X < 3}, (b) P{X = 1), (c) P(X> }, and (d) P{2< X s 4). F(x) 11 22 X 2 3 Fig. Graph of F(x) lim F3 Sol. (a) P{X 3) = limP Xs3- n n n (b) P{X 1} = P{X 1} - P{X < 1} -F1)-lim F 1 PX1-Pxs (c) = 1-F (d) P{2 X s 4} = F(4) - F(2) 1 12 539 pport@eduncle.com Call Toll Free: 1800-120-1021