Page 57 - Math SL HB Sem 3
P. 57

Catalogue of all the different cases :




            Shqded  Areo  =  P(Z  < a) for a > 0            Shadetl Area  =  P(Z  >  a) lor a > 0
             )  case 1                                      t  case 2











                                             Z                                             Z
                                  a                                             a

             Shad.ed" Area  =  P(Z 3 a) tor a < 0           Shaded  Area  =  P(Z 2 a) for a < O
             )  Case  3                                     )  Case 4










                                             Z                                            Z
                         a                                           a

       Shaded Area  = P(a < X 4 b)for a> 0 andb > 0     Shaded  Area  =  P(a < X < b)for a < 0 andb < 0
       )  case  5                                       )  Case 6










                                 ,.\                                   \
                                              Z                        \;                  Z
                               ab                                     ab







                                                     Shad.ed. Area =P(a<X3b)fora    (  0andD )  0
                                                     )  case  7



                                               7
                          a      b















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