Recall that with the CSMA$/$CD LAN protocol, a network adaptor waits $512K$ bit

times after a collision before retransmitting, with $K$ randomly drawn.

$($a$)$ Let us assume that the LAN is extremely busy, and a particular node

detects a $4^{th}$ successive collision occurrence.

What range will $K$ be randomly chosen from $($for this case of $m=4)?$

$($b$)$ Suppose $K$ is drawn to be $2^2.$

What will the wait time be in this case, assuming an $R=100Mbps($Fast

Ethernet$)$ LAN?