$.$ A host sends five packets and receives three acknowledgments. The time is shown

as hour:minute:seconds.

a$.$ Segment $1$ was sent at $0$:$0$:$00.$

b$.$ Segment $2$ was sent at $0$:$0$:$05.$

c$.$ ACK for segments $1$ and $2$ received at $0$:$0$:$07.$

d$.$ Segment $3$ was sent at $0$:$0$:$20.$

e$.$ Segment $4$ was sent at $0$:$0$:$22.$

f$.$ Segment $5$ was sent at $0$:$0$:$27.$

g$.$ ACK for segments $1$ and $2$ received at $0$:$0$:$45.$

h$.$ ACK for segment $3$ received at $0$:$0$:$65.$

Calculate the values of RTTM$,$ RTTS$,$ RTTD$,$ and RTO if the original RTO is $6$ seconds. Did the sender miss the retransmission of any segment? Show which segments should have been retransmitted and when. Rewrite the events including the

retransmission time.