A wireless system base station operating at $1\mathrm{.}2$ GHz in a large city urban enviroment transmits $15$ W from the top of a $30$ m tower. The base station antenna's gain is $7$ dBi and the system losses are $4$ dB $.$ A receiver operating in the vicinity of the base station is located at an

average height of $1\mathrm{.}6$ m above flat earth and has an antenna gain of $2$ dBi $.$ The receiver is $12$ km away from the base station.

a$.)$ Using the Hata model calculate the median path loss and the corresponding received power.

b$)$ Calculate the received power using the flat Earth model and compare the result with the one from the Hata model. Discuss the difference.

c$)$ Using the Lee model calculate the median path loss and the received power using the parameters for New York City.