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Some Important Discrete Distributions                           179

                                                                          Wiley

                   = 50                                                   John

               = 50  k      40         30         20     15     10  30    of
               k
               40                                                         permission

               30                                                  15
                                                                          with
                                                                   9 10

               20                                                  8      Reproduced
                                                                   7
                                                                   6
                                                                   5      1967),
               15
                                                                   4
                                                                          (Haight,
                                                                   3
               10
                                                                   2
                                                                      ν = λt  distribution
               9
               8
                                                                   1.0    Poisson
               7
               = 6                                                 0.8
               k                                                          the
                                                                   0.6    of
                                                                   0.5
                  5
                                                                   0.4    function
                   4
                                                                   0.3
                     3
                        2                                                 distribution
                                                                   0.2
                             1
                                    k = 0

                                                                   0.1    Probability
                                     0.7
                                       0.6
                                 0.9
                                   0.8
                                        0.5
                                             0.2
                                                0.1
                                          0.4
                                           0.3
                 0.99999  0.9999  0.999  0.99  P [X(0, t ) ≤ k]  0.01  0.001  0.0001  0.00001  6.4
                                                                          Figure




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