Problem $1.$ How long does it take a packet of length $1,000$ bytes to propagate over a link of distance $2,500$

$km,$ propagation speed ${2\mathrm{.}5}^{**}{10}^8\frac{m}{s},$ and transmission rate $2Mbps?$

a$)$ More generally, how long does it take a packet of length $L$ to propagate over a link of distance d$,$

propagation speeds, and transmission rate $R$ bps$?$

b$)$ Does this delay depend on packet length? please explain part $($b and c$)$

c$)$ Does this delay depend on transmission rate? Problem $3.$ Consider a short, $10-$meter link, over which a sender can transmit at a rate of $150$bit$\frac{s}{sec}$ in

both directions. Suppose that packets containing data are $100,000$ bits long, and packets containing only

control $($e$.$g$.,$ ACK or handshaking$)$ are $200$ bits long. Assume that $N$ parallel connections each get $\frac{1}{N}$ of

the link bandwidth. Now consider the HTTP protocol, and suppose that each downloaded object is $100$

Kbits long, and that the initial downloaded object contains $10$ referenced objects from the same sender$.$

a$)$ Would parallel downloads via parallel instances of non$-$persistent HTTP make sense in this case?

b$)$ Now consider persistent HTTP$.$ Do you expect significant gains over the non$-$persistent case?

Justify and explain your answer.