In an urban cellular system, the base station transmits at the carrier frequency is 2000 MHz. Assuming that the radius of the cell is 2 km, and minimum power required by the mobile to operate is -90dBm:
(a) Determine the probability that a user at the edge of the cell will receive a satisfactory signal, assuming propagation constant $n = 3.5$, standard deviation $\sigma = 7$ dB, and average received power at edge of cell is -80 dBm.
(b) If the average number of users in the cell at any time is 5000, how many of these users will receive satisfactory coverage?