Given a system with the following characteristics: 14.4 MHz bandwidth for traffic bearing 50 kHz each simplex channel paired simplex channels for Forward and Reverse channels (FDD) fixed channel allocation a require signal-to-interference ratio of 13 dB; a path loss exponent of 4; average call duration of 3 minutes; a subscriber call average of 3 call/hr; 1% blocked-calls-delayed grade of service; and consider only the first tier interferers and a hexagonal cell shape. Use the Erlang tables provided on the course website. For a cell with a 60 degree sectorized antenna find:
a. The probability that a subscriber would wait longer than 15 second in the queue
b. The number of subscribers supported?