Question: Let wI be the power received by the mobile at distance "I" from the base station. The probability distribution of the power at distance "I" is p(wI) = exp(-wI/mI )/mI where mI is the mean. Assume mI is proportional to I^-3. If 10log(mI /1 m watt) = -110dBm at I = 20km,
A) Find the probability of 10log10(wI/1m watt) > -115dBm.
B) Find the distance L, i.e., when I = L km, such that the probability of 10 log10 (wL/1m watt) >-100 dBm is exp(-1).