A radar with a phased array antenna conducts a search using a 1500-beam search raster. That is, it steps through 1500 beam positions that span a certain angular area. It trans- mits one pulse per beam. The radar uses range gates separated by 10m. The output of each range gate is sent to a bank of Doppler filters with a width of 1000Hz each. Thus, the signal processor consists of a set of range gates with a bank of Doppler filters connected to each range gate output. The output of the signal processor consists of a range-Doppler array of signals that consists of MN elements where M is the number of range gates and N is the number of Dop- pler filter outputs. During the particular search of interest, the detection processor covers a range extent of 10Km and a Doppler extent of 25Km. The design specifications state that, in this mode, the radar must have less than one false alarm every 10 scans through the search ras- ter. What is the required Pfa in each range-Doppler-beam cell needed to support this require- ment?