Consider a base station (BS) with transmission power 10dB at frequency F-900MHz; a mobile user M is located 50m away from the BS, and another user N is located 20 meters away from the BS. (1) Using the free-space path loss model, calculate the received power Prec at each mobile user. (hint: path loss in dB is calculated as L = 20log10(f MHz) + 20log10(d km) + 32.45) (2)* Consider Rayleigh fading at the mobile users. Now, the random received power over Rayleigh fading is exponentially distributed, i.e. P(x) = 1 e-x/Prec, x > 0, where Prec is the power after path loss. Calculate the outage probability that the random received power is below -30dbm. (Hint: exdx = -ex + constant.) Prec (3) Consider that the BS applies NOMA to transmit data to both users M and N. 60% of the total power is allocated for data transmission to user M, and the remaining 40% is allocated for data transmission to user N. Given that the SINR threshold for successful decoding is 1, and the noise is = 1e8w, what are the achievable data rates of M and N, respectively?