A FDD cellular mobile system allocates a bandwidth of $32$ MHz that uses $50$ kHz simplex channels for voice communication. Assume each user averages $1$ call$/$hour and each call lasting $3$ minutes. The system also uses $5$ clusters with a cluster size of N$=16.$ On separate note, traffic study requested from Ameritech Co$.$ informs the cellular mobile system that the traffic intensity is too high. An alternative to this is to use sectorized cells. Therefore, the system is redesigned using $120\text{'}$ cell sectoring and a new cluster size of N$=4$ is used. What is the blocking probability if the number of users in a cell is increased $3$ times compared to the original system. Discuss the changes you have observed in the blocking probability.