Question: Consider a packet stream whereby packets arrive according to a Poisson process with rate 10 packets/sec. If the interarrival time between any two packets is less than the transmission time of the first to arrive, the two packets are said to collide. (This notion will be made more meaningful in Chapter 4 when we discuss multiaccess schemes.) Find the probabilities that a packet does not collide with either its predecessor or its successor, and that a packet does not collide with another packet assuming:
(a) All packets have a transmission time of 20 msec.
(b) Packets have independent, exponentially distributed transmission times with mean 20 msec. (This part requires the M/M/∞ results.)