Ptfdnfdy'c. where do = 100m and o is a random variable. The distribution for o is p(o = 2) = :14, p{a = 2.5)=13,p{o= 3} = .2, and pm = 4) = .1 Assume a receiver at a distance d =1DDm from the transmitter, with an average transmit power constraint of Pr: 100 mW and a receiver noise power of .1 mW. Assume both transmitter and receiver have CSI. (a) Compute the distribution of the received SNR. (b) Derive the optimal power control policy for this channel and its corresponding Shannon capacity,r per unit Hertz {CUB}