Page 162 - Math Grade 12 (Advance)
P. 162

PROEUS DARA




                 2.  l!H1.Jl Sl  P(X < 6)

                       P(X<6)  =  P(X=O)+P(X= l)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
                                                0    10
                    rn  P(X = 0)  =  C(JO,  0) x (0.2) (0.8)  =  0.1074

                        P(X = 4)  =  C(lO,  4) x (0.2)\0.8/  =  0.0881

                                                 5    5
                        P(X = 5)  =  C(l 0,  5) x (0.2 ) (0.8 ) =  0.0264
                        P(X < 6) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881  + 0.0264


                                =  0.9936

                    tjtHSg  P(X<6)  =0.9936  '1
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           Bin(n,  p)  twill  n  =  12  Sw  p  =  80 %=  0.  8
                       <'   •  c:o                             x    !2-x
                 HSr:i'i:3Stjbn.Hn~tiL(lti  P(X=x)  =  C(l2,  x)x(0.8)  (0.2)   ,  x  =  0,  1,  2, ... ,12
                   I         I   l..j
                                 u
                 U::llru  E(X)  =  np  =  12x0.8  =  9.6  &S1Hr:i1Jl~li5nnt~ X=  9,  10,  11  '1
                                                         u
                                                9    3
                       P(X = 9)  =  C( 12,  9) X (0.8) (0.2) =  0.2362
                                                  10   2                0
                       P(X = 10)  = C(12,  10) x (0.8) (0.2) =  0.2834   ( tsctltltr:i  )
                                                  11   1
                       P(X= 11)  =  C(l2,  1l)x(0.8) (0.2) =  0.2061



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