HW 3

Hu 3 B ) |erixe2y= e =[5 O (x>4)= 1= ','.y-\ e (lexed)= fiv oy 2| Mvtxulxu) Fx )= R =i s m»»%"fi'-'#'-'.& & (A l/x)" ~ulik) )| B = e,u ©)=br (2 1)~ Pr(xek)= Fv(x'— 1) = Prlxek-)) fuly=felimd = (i)l )= (k-3 ke Pelrd=u )} B)lpxzn) = Pr(eon)+or (x=n) = Pr(x=n) + (= pexem) |cut(l=u-(n-3) +lmwan+In=lusl-an P(xin) (4+n pr (x> m) & Prlxe ng)= [ (3R)= 1] Pr(xena 1) Lo mfil ue [qmm 4=l ; b)rxLo =0] S HEAC IS LS cuag)-0.7520.25 e (x> Y, )=.0.25 Pr(x>0)= 1= Pr(X<0)= l-fi- 0.5 o]

g = —bdw= ke L= = 4] ("1 log azb R A P el (7)) 5 e, 5 x>z x22:F()=0 - (4)7)- 2c- %= Yyee=l ()= B =1 9 g0 = T 12 g rde= 26 ST e B

x> 2. |F 0= TR b= 5l exp (- (B50)°) D p=i0, 525 Prix>17)= ayp(tafl?'jza,sz>v.v% - I.']"m-a, =1-0.9]924= 0.08076 Pr(x>17) = 0.08076 B [pr(x21) = Qup (2>52)= Gplz>-1.2)= |-0.11567= 0-88493 ). §8493 3 Gy (26539)=Q,, (241) = S0 Gy d2 = 0.8413 [Pr (x<15)= 0.84134 Dlpxe-2)= Qy (22°259= &y (24-2.9)=025" Grdz = 0.0082 e i) >3) = br (1 €3 [ x2153)= pr (x4 | x >2) =0.00255+0.94520) =0.997756 [ Prlix+11>3)= 0947756 B |prlixet|<2) =br (+T<rz] x1>2) = Pr (%<3 foobt x>=3) =prB<x<l)= 0.0312 Pr(lx+1)<2)= 0.0313] 9 Pe(1x=775) = br (x=7&-5 [ k=7 >5) = pr(x < 2] x712)= 0.054747+ 6. 3494518 = 0.3994377 te(x-71>5) = 0349577 WP U%-417)= Pr(x=47 =7 | x-4<7) = Pr(x 73 EX<I1) =pr (3exel = 0.418503 b Ux-41<7) = 0417503 o 26, =% xR, 2= 0.615 ~0.615= A1 5 6o 1y = - 7 Plz22.70) e