Page 10 - KEGIATAN PEMBELAJARAN 3 DISTRIBUSI PELUANG ACAK_DHINI MARLIYANTI
P. 10

b. Tentukan nilai peluang P ( X ≤ 1)
                                                1               1
                                                                      + 1
                  ≤ 1 =    0 ≤    ≤ 1 = න            = න                        
                                                                      4
                                               0               0
                                                                 1
                                                              1
                                                            =   න(   + 1)     
                                                              4
                                                                0
                                                                             1
                                                              1 1
                                                                      2
                                                           =           +   
                                                              4 2
                                                                             0
                                                              1     1               1
                                                                                       2
                                                                       2
                                                           =          1 + 1 −         0 + 0
                                                              4     2               2
                                                              1     1              1
                                                           =          1 + 1 −        0 + 0
                                                              4     2              2

                                                              1     1
                                                           =          + 1 − 0 + 0
                                                              4     2
                                                              1 3
                                                           =        − 0
                                                              4 2
                                                                                                 Jadi nilai peluang
                                                              1 3        3                                      3
                                                           =          =                                ≤ 1 =
                                                              4 2        8                                      8
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