Page 158 - Math Grade 12 (Advance)
P. 158

PROEUS DARA



          2.

                tthw3~ ttH:j BJ&~m tBU~llilh ~uiit~m t SH tf:iffiu~ntuiU'iHi MnSh n ~J~ tB  X ff1'i:1
                   "
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           uJllH ~ m t BL'lit:f1ti ~ h tLfil'i:1
                      u

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                 t1J1t1C~t11IS1J1trlt1   :  m  X  ctlJHGHtH:lBJ&Gl  Bin(n,  p)  tS'U  E(X) = np
                            u
             ttfiruh~Jtlff1ht1:hli5  Var(X)  = np(l-p)  '1
                arnmuuf  :  ~ti'HldlL~t:f1ti~t!ructlt~ffiBt!j]ht~sh 0.4  '1
           cJ     c::p             cfQ   0     I
           t t! ru tutlm g nnh'i:1 ru tuQI'Ul sh f:1 ruln tutl1:h  '1
                 w   1   "'   u   6l         6l
                        1
                tf:iti5ii"  t~'HlBt{j]h "  ctltctlf:10ti5
                tf:iQIB  p  =  0.4  ,  q  =  1- p  =  1 -0.4  =  0.6
                                                         u             "
                ff1h  X  ctlHtdHut!BHt!ructl"  uBBtG'HlBt.ii  hnh'i:1ti5hlQIU1"
                                    eJ
                              ":»
                                                  ':)
                                              0
                                   u           u   Cl    6\1   c;;   1J   "
                                                             1
                tmg  X  ctlHtd~tB Bin(n,  p)  ~t!ru  n  = 7  ttfiru  p  = 0.4
                ff11:1t1Jltl&~m~htbll E(X)  = np  = 7x0.4 = 2.8
                                    Var(X)  = np(l-p) = 7x0.4(1-0.4) = 1.68
                ~rulntuti1:h  f!ictltitufilntsn~1ti  tf:1QIB~rulntuti1:h  ,Jvar(x) = ,)1.68  = uo td '1
                       n        "           tJ             n                             e~
                t!U&B g ITS B tG'HlB t.nuh ~t! ru tubi't19iinh'i:1 ti5hlQiul~ti~U1 ru  3 tdsh~ rulntutl 1:h
                 u       U<>""               W1<CU         6l   l.i       "'         6l
                                                   1
           ty~'Ul ru  1 t~ '1

                Wtmtft.fj:  tsiQhGtl'iJti5'HlBQirtltH1fi1JiU11:1  6  Qlrtlt1Mtru'Jb  8  SbQirtlt1M
                               1
           t~J~  6  '1  tf:1mtiru;;rnrutJrut1:hrutut!BJ&UQJrJG~tmg  ttfiru;;~~;;nruimnirnru 3111:nfi
           urunhtltllm '1  tf:1mtittfiru1:hfiurulmcrss  10  t!h  '1
           u   "'    ~                  u    ~  u
               1
                      0      I   ~      eJ     Cp    Cp   I     0    I
                n.  ~ ;;r;~ srnru t1llilLn'Ul'i:1 ttl ru tu~'i:1~ nshmtirns lflh Htu
                ~- ~ntyrnti~t!rumtirnsrnrunruitru'JhmhHni'i§strutun 4  '1
                       u
                oriim :
                  .,
                                 ':I       0      I   .:;o
                n.  mh  x  ctlHtGHut!BJ"  r;~srnrunllilLn'Ul'i:1"
                                                               6    3
                         X- Bin(n,  p)  ~t! ru  n  = 10  ttfi ti5  p
                                                            =20=10
                                                 3
                          tf:iQIB  E(X)  =  np  =  lOx lO  = 3

                          ~msg tf:ituiU'i:1~nm  tf:ishmtirnsnrui1JiU11:1mhHnicr~s 3 rnru  '1


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