The Link#$1$ between Host A and Router $1$ has the following characteristics:

Link bandwidth $=1$ Mbps

Distance $=1000$ meters

Signal propagation velocity $=10^8$ meter$/$sec

Packet size $=10000$ bits

The Link#$2$ between Router $1$ and Host B has the following characteristics:

Link bandwidth $=1$ Mbps

Distance $=1000$ meters

Signal propagation velocity $=10^8$ meter$/$sec

Packet size $=10000$ bits

Forwarding $($or Processing$)$ Delay in Router $($for Packet Forwarding$)$: $0\mathrm{.}000000001=10^-9$ seconds.

$($a$)$ Find out $1-$bit transmission delay in Link#$1.(15$ pts$)$

$($b$)$ Find packet transmission delay in Link#$1.(15$ pts$)$

$($c$)$ Find propagation delay in Link#$1.(15$ pts$)$

$($d$)$ Obtain an end$-$to$-$end delay for $1-$packet delivery from Host A to Host B$.(15$ pts$)$

$($e$)$ Obtain an end$-$to$-$end delay for $2-$packet delivery from Host A to Host B$.(20$ pts$)$

$($f$)$ Obtain an end$-$to$-$end delay for $100-$packet delivery from Host A to Host B$.(20$ pts$)$