In a wireless communication system, active terminal locations are distributed according to a 2D Poisson process with intensity parameter ω . Let us assume that the terminals are independent of each...

In a wireless communication system, active terminal locations are distributed according to a 2D Poisson process with intensity parameter ω . Let us assume that the terminals are independent of each other and each of them is active with probability q. a) What will be the probability of finding exactly k terminals in the service region? b) What is the expected number of active terminals in an area of size A? c) Assume that five terminals are observed in some area of size A. What will now be the probability that more than three of these terminals are active?