21 | | where \(N_\textrm{sig}\) is the number of events identified as potential gammas from the source direction ('on-source') and \(N_\textrm{bg}\) the number of gamma-like events measured 'off-source'. Note that for Simulations, \(N_\textrm{bg}\) is not necessarily zero for wobble-mode observations as an event can survive the analysis for on- and off-events, if this is not protected by the analysis chain. |

| 21 | where \(N_\textrm{sig}\) is the number of events identified as potential gammas from the source direction ('on-source') and \(N_\textrm{bg}\) the number of gamma-like events measured 'off-source'. Note that for Simulations, \(\hat N_\textrm{bg}\) is not necessarily zero for wobble-mode observations as an event can survive the analysis for on- and off-events, if this is not protected by the analysis chain. |

| 22 | |

| 23 | The average number of background events \(\hat N_\textrm{bg}\) is the total number of background events \(\N_\textrm{bg}\) from all off-regions times the corresponding weight \(\omega\). For five off-regions, this yields |

| 24 | |

| 25 | \[\(\hat N_\textrm{bg}\) = \frac{N_\textrm{bg}}{5}\] |