Assume host A and host $B$ are connected with each other via two routers, and three links as illustrated

below. Link$1$ and Link$3$ are each $1km,$ Link$2$ is $100km.$ The bandwidth of Link$1$ and Link$3$ are both

$100Mbps,$ and the bandwidth of Link$2$ is $1Gbps.$ Both Router$1$ and Router$2$ are store$-$and$-$forward routers.

The propagation speed over the three links is $3{10}^8\frac{m}{s}.$

I. Calculate the time required to transmit a file of $1{10}^6$ bits from host $A$ to host $B$ as a single packet.

II$.$ Calculate the time required to transmit a file of $1{10}^6$ bits from host $A$ to host $B$ as two equal

length packets sent one after the other.

III. Draw a timeline diagram for scenario $($b$)$ below. Mark the transmission delay and propagation

delay between Host A and Router$1,$ Router$1$ and Router$2$ on the diagram. The first packet is

already shown.