Consider a Slotted Aloha system with 4 stations. The slot size and the packet length is one time unit. The probability that a station i transmits in a slot is Gi. Once a station transmits, it transmits to each of the other stations with an equal probability (i.e. station i transmits to station j (i 1 j) with probability pij = 1/3).

(5 pt.) Find the throughput on the link between stations 1 and 4 (of packets transmitted from 1 to 4 and vice versa).

(5 pt.) What is the overall throughput in the network?

(5 pt.) What is the percentage of empty slots?

(5 pt.) Assume (in this part only) that 20% of the slots are empty, and that G1 = G4 = G. Recalculate the throughput on the link between stations 1 and 4 under these assumptions.