Calculate the latency (from first bit sent to last bit received) for:

(a) 1-Gbps Ethernet with a single store-and-forward switch in the path and a packet size of 5000 bits. Assume that each link introduces a propagation delay of 10 µs and that the switch begins retransmitting immediately after it has finished receiving the packet.

(b) Same as

(a) but with three switches.

(c) Same as (b) but assume the switch implements “cut-through” switching: it is able to begin retransmitting the packet after the first 128 bits have been received.