ECEN 602 Fall 2015: Homework 5 SolutionDue: Oct 15 12:25 pmSolution Homework 5 ECEN 6021.(20%) An absent-minded professor schedules two student appointments for thesame time. The appointment durations are independent and exponentiallydistributed with mean 30 minutes. The first student arrives on time, but thesecond student arrives five minutes late. What is the expected time betweenthe arrival of the first student and the departure of the second student (
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12.(20%) Consider a packet stream whereby packets arrive according to a Poissonprocess with rate 10 packets/sec. If the interarrival time between any twopackets is less than the transmission time of the first to arrive, the two packetsare said tocollide. Find the probabilities that a packet does not collide with (1)its immediate predecessor or its successor packet, and (2) any of the packetsthat arrived prior to the immediate predecessor (if packets have random lengths,
