1). Mr Alex sends N back-to-back packets, each of length L bits, to Jessica over two links, with the transmission rate of the first link (from Alex to the router) being 2R bits/sec and the transmission rate of the second link (from the router to Jessica) being R bits/sec.

Find the minimum size of the queue needed at the router (in terms of number of packets) to prevent the queue from overflowing and dropping any packet. Your solution should hold for both odd and even values of N.

2). Consider a RED router. Suppose that QueueAverage is halfway between ThresholdMin and ThresholdMax and Pmax = 0.04 a). Find the maximum number of consecutive packets the router can accept after a packet is dropped.

b). Find the probability of the scenario in Part (a) occurring