Page 175 - Math Grade 12 (Advance)
P. 175

PROEUS DARA




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               ®  tth1-Hti~tO!:lSJ X  'i:flSH~ti'iH~tHh~&n'(YQlli  f(x)  f!:lrn  f(x)  =  e   &Ult15
                                                     u                       crJ2ir,
                 X  E  (-oo,  + oo)  &S'H &tittlH&ti~  X  dlmti~totl SjtStlfruli:l fmHlJHHlruttl bli'i:flS

                 'i:HiJ-g  11  sh'tfls~ruln~ti!'tl cr  '1

               • 'tflsl~Ln~Llittnrn 68%  tsl~Lfi~mi:!Ht'J  ~ntsitLfn'gt2Jtfili:lrul~'ihrum~u


                 ±cr   ""  rJ<gfiJ<g  ttihlHhl~ J.L±cr  = (J.L-cr,  J.L+cr)  '1
               ..  'tflst~Ln~Llittnrn 95%  tst~Ln~mbHt'J ~ntsitLfil'gt2Jtfili:lrul~'ihrum~u

                      ""
                 ±2cr  rJ<gt3j-g  ttihlthlS  J.L±2cr  = (J.L-2cr,  J.L+2cr)  '1
               ..  'tflst~Ln~Llittnrn 99.73%  tst~Ln~mi:!Ht'J ~ntsitLfn'gt2J&fni:IWJ~'ihrum~g


                 ±3cr   ""  rJ<gfiJ<g  ttihlthl~ J.L±3cr  =  (J.L-3cr,  J.L+3cr)  '1
               ..  m-gs  z = x-11  mm-gseu1'tflumniin1Htti~WJ~ffiru x  t9iHn1H&ti~WJ~'ihru
                u    n       (5    u   nl..i  U      li                     li
                 euti!'tl  z  rnrnruntti§1nt"gtSHtti~WJ~'ihru x  '1  z  rtnimiHtilWJ~'ihrufUti!'tl '1
                  n                  U   GV                                          n

                  0
                        •
                 ruunn
            1.  'iQlRt2dl-gcr'i-gmt'Jt51:lrnn'in'i:3tiiS'i:3t15thfstl250  tlrul  si:l'tfls~rulnhlti!'tlt~si:l
               l..i       U       I"'   l.j   I   Ll   --!   I  ""            n     --!
                                         I
               10  tlrul '1  t1=l~hmtitrulbtoii'iQlRt2mMli1=lrnnmi:IHM  ff1'i:3tltruli:ltonrul~ffiru  '1  t~
                  I  <11                  U          I  A
               'i:flS'ilEll Sfilti~ t15tS'iQlR13 rul rnm hl'Uti rnn  t!:l bli'i:flS1QlR13 rul bli&'iUSdli:l  275  !:j rul?
                   I--!         U      U       lA             U      U   U             IGV
            2.  'iQlRnt'i'i:3tQi:l nsummmmt'JHnrnfiffi~s ttib'tflR~ndl'i:3ti'i'i:3t~si:l  400  tl ru1sb
               l.j   l.i       Li   <:t   c;       t   G\.1   c;    tJ   .....    16V
              'i:flS~ ruln fUti !'tl t ~sb 50  tl rul '1  tthQlRn t'i'i:3tnb nnnt5mmm'i:3tltrulb tOnrullffiru
                        n      .....    tGV     Li     LJ       Li   c;
               t~'i::flSUS1Sfilti~t15ttlrnHnb15Rt~:msnQlStsims-u  320  !:lrulSb 420  tlrul '1
                     1'-'11          ct                   6V       16V        lGV
                      "
                            "  N(300,  25)  '1  tirul Sl
            3.  X  H&tiHOf::lSJtS
               n.  P(X > 305)                          2.  P(X < 291)

               ti.  P(X < 312)                        lli.  P(X > 286)  '1
            4.  d5  X  dlHtd~tS N(lOO,  80)  '1tirulSl

               n.  P(85 <X< 112)                      2.  P(l05 <X< 115)




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