This is the story of the averages, variances

                          of the random variable, x[1]

                           under the constraint Ax=b

                                 for the matrix

                     [1    0    0    0    1    1    0    0]
                     [                                    ]
                     [0    1    0    0    1    0    0    1]
                     [                                    ]
                     [0    0    1    0    0    1    1    0]
                     [                                    ]
                     [0    0    0    1    0    0    1    1]

         with the Poisson parameters given by, [1, 1, 1, 1, 1, 1, 1, 1]

                for b from , [1, 1, 1, 1], to , [10, 10, 10, 10]

                          The sequence of averages is

[0.4285714286, 0.6985645933, 0.9119081564, 1.094111307, 1.255870848,

    1.402863763, 1.538535373, 1.665165322, 1.784355840, 1.897284477]

                        This seems to be asymptotically

                                            b  0.5740842188
                    0.4894036170 1.003316850  b

                     The sequence of standard deviations is

[0.7421624793, 0.8206751968, 0.8857493108, 0.9416894712, 0.9909727605,

    1.035166075, 1.075328071, 1.112209871]

                        This seems to be asymptotically

                                            b  0.3228996414
                    0.5631244813 1.001144724  b

                    This took, 16.645, seconds of CPU time