Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec. Host A is to send a packet of size L bits to Host B. a) Express the propagation delay, d_pop, in terms of m and s. b) Determine the transmission time of the packet, d_trans, in terms of L and R. c) Ignoring processing and queuing delays, obtain an expression for the end-to-end delay. d) Suppose Host A begins to transmit the packet at time t = 0. At time t = d_trans, where is the last bit of the packet? e) Suppose d_prop is greater than d_trans. At time t = d_trans, where is the first bit of the packet? f) Suppose d_prop is less than d_trans. At time t = d_trans, where is the first bit of the packet? g) Suppose s = 2.8 middot 10^8 meters/sec, m = 2,000 km, and R = 5 Mbps. Find the packet size L so that d_prop equals d_trams. h) Now suppose that the sender sends packets continuously. What is the minimum packet size that fully utilizes the link (e.g., the link is always busy while the sender sends packets over the link)?