Transport control protocol $($TCP$)$

a$)$ Consider a TCP sender with a maximum segment size $($MSS$)$ of $1,024$ bytes, a slow start threshold $($ssthresh$)$ of $16$ segments, and a roundtrip time of $5$ ms $(0\mathrm{.}005$ sec$).$ Assuming no packet losses, what is the window size about $15$ ms after start? How much data has been received at the receiver at this time in bytes?$$ Assume negligible TCP host processing delays.

b$)$ In Part a$)$ above, what is the window size about $25$ ms after start? How much data has been received by the receiver at this time in bytes?$$ Assume negligible TCP host processing delays.

c$)$ Assume the TCP sender in Part a$)$ is in the linear congestion avoidance phase and has a window size of $48$ segments. If it experiences a single packet loss, what are the resulting window sizes for vanilla TCP $($Tahoe$)?$ TCP Reno $($fast retransmit$/$recovery$)?$

d$)$ Consider a fast TCP sender transmitting a very large data file over a very fast and reliable network $($no losses$)$ to a slower TCP receiver with a finite amount of buffer space $($much less than file size$).$ Where can congestion occur here?$$ What can the TCP protocol do to minimize the amount of packet losses$/$re$-$transmissions?

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