Question

x<--2 F(x)= {0.25x + 0.5 -25x<2 25x Determine the following: (a) P(X<1.8) (b) P(x>-1.5) (c) P(X<-2) (d) P(-1< X <I)

Answer 1

Solution. Given distribution function Fla) - o - = 0.25 xtos x 2-2 - 2 L x 22 22x The p.dif of o flow= d is, F(x) 0 . 25 -2 cxL2 0 frai) = – i -2 2 x 42 = 0 otherwise @ PEx L 1.8) = 1- P ( x7, 1.8] = 1- (from) ose = t t [xclose = 1 - + [2-18] = 0.99 The required probability is 0.95 :

6 P [XY-1.5] = frog dre 21.5 = ² Idre 215" - [ Julis + [2-(-1.5) = 0.8750 . The required probability is 0.8750.

© P[XL-2) =P [X L2] - j floul de = 200 – og :. The required probability is o.s. 4 @ Pl_1 < x < 1] = { fcoes doe = 0.5 The required probability is o.s.