1. Consider two types of call arrivals to a cell in a mobile telephone network: I calls that originate in a cell and calls that are handed over from neighboring co It is desirable to give preference to handover calls over new calls. For this reas some of the channels in the cell are reserved for handover calls, while the rest of channels are available to both types of calls. Suppose that all calls arrive in a cell according to a Poisson process with r Ane = 125 calls per hour for new calls, and Ano = 50 calls per hour for handd calls. The cell has a capacity of 10 channels. Each call occupies 1 channel and call time has an exponential distribution with mean two minutes. Suppose that no channels are reserved for handover calls. (a) Calculate the blocking probability in the cell and find the average number channels used. (b) When a call has to wait, find its average waiting time