a$)$ A communication system has the following parameters: $Pt=120W,Gt(dB)=30dB,Gr(dB)=24dB,d=40,000km,f=15GHz.$ Determine the received power using the basic Friis transmission formula $($range equation, not the decibel form$).$

b$)$ Repeat the analysis of the previous scenario using the decibel form of the one$-$way link equation $($range equation$).$

a$)$ The closest distance between Earth and Mars is about $54\mathrm{.}5{10}^{6}km.$ Determine the decibel path loss between the two planets at $($a$)1$ GHz and $($b$)10$ GHz $.$

b$)$ Assume that a radio signal is being sent from Earth to Mars based on the distance above. If there was an immediate response when it arrived, how long would it be from the time that you sent the message until you received an answe. Please answer both.