The source Host A is going to send $10$KB $(10240$byte$)$ of data to the destination Host B over an established TCP connection, which has a window size $($rwnd$)$ of $5$KB $(5120$byte$)$ and a maximum segment size $($MSS$)$ of $1$KB $(1024$byte$).$ Assuming Go$-$Back$-$N is used in TCP$.$

Suppose there are errors in the transmissions. For each of the following independent transmission error cases, please calculate the total number of segments sent out from the source $($including retransmissions$)$ in order to complete the transmissions of the $10$KB data to the destination.