Consider a TCP connection between a sender and receiver where: the sender needs to

transmit exactly $30$ segments to the receiver ssthresh is $4,$ the initial cwnd $($at transmission round zero$)$ is $1,$ the round$-$trip time between sender and receiver is $500$ milliseconds, the maximum segment size is $1000$ bytes, and the bottleneck bandwidth is

$64$ kilobits per second. Suppose that $(1)$ the sender receives a triple duplicate acknowledgment for the $14$th segment and successfully retransmits the segment in the next

round trip; $(2)$ on the first attempt, segments $2530$ are all lost in a single transmission

window; $(3)$ no other losses occur. What is the average throughput of the connection

during the congestion avoidance phase, in kilobits per second? What is the average

throughput, in kilobits per second over the entire connection? What is the average loss

rate over the entire transmission? During which rounds is the buffer at the bottleneck

link filling? At which round does the buffer at the bottleneck link have the most packets? What is the maximum additional latency that this buffering introduces on end$-$toend latency, in milliseconds?