Page 172 - Math Grade 12 (Advance)
P. 172

PROEUS DARA




                ori1w  :
                  1111

                n.  ttiUi~tHrntlHtdHlilHfHU X  ~tflidlHtdHl.mihoh~~ttl Z  '1
                      u
                                                                 2
                     ttl  X  dlHtd~tS N(JO,  25)  ~tlrn  !l  = 10  Stl  a =  25  t{ a= 5
                                    10
                     ttlQlS  Z  =  X-
                                  5
                        p (X > 12) = p( X  /  0 > 12 ;  10)


                                 =  P(Z > 0.4)   tmru  x-  10   = z
                                                          5
                                 = 0.5 - 0.1554  =  0.3446

                     tlmsg  P(X > 12)  =  0.3446  '1
                     u
                2_ P(X< 6) = p(X~10<6~10)


                                =  P(Z<-0.8) = 0.5-0.2881  = 0.2119


                     tlmsg  P(X<6)  =0.2119  '1
                     u
                ti.  P( 6 <X< 12)  =  p(6 ~ 10 <X~ 10 < 12; 10)


                              = P( -0.8 < Z < 0.4)  =  0.2881  + 0.1554  = 0.4435

                     t~msg P(6 < x < 12)  = 0.4435  '1
                     u



                n.  P(48<X<54)              2.  ?(52< X< 55)         ti.  P(IX -501 < J8)  '1





               n.  P(0.25 < z < 1.75)       2.  P(-0.70 < Z < 1.86)   ti.  P(-1.4<Z<-0.6)  '1


         3.    es~flir;mmflflCUl'~eemUfUiGie Jl  ee  0'


                tsitt1rn2g  ttiH1~m~~n?Jt13. ruTJ13ru~t~rntlintsinliHnHuuihmM~m z  tttlru
                       GV    Ci        GV    U       ~          if        rl
                              u





               n.  P(Z <a)  =  0.9693

               2.  P(Z >a)  =  0.7357  '1



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