Consider TCP$$s algorithm for setting and dynamically adapting its timeout value, as described in

the lecture. Assume $=0\mathrm{.}125$ and $=0\mathrm{.}25.$ Assume that at some point in time the

EstimatedRTT is $200$ms and the DevRTT is $40$ms$.$ From this point on$,$ all measured RTTs are

exactly $20$ms$.$

$($a$)$ What is the timeout interval after $10$ RTT measurements?

$($b$)$ How many such RTT measurements are needed before the timeout interval falls below

$50$ms$?$

Note: You will likely find it useful to write a small program or use a spreadsheet

$($particularly for part b$).$ If you use this approach, please attach the code or spreadsheet.