Assume that the number of messages input to a communication channel in aninterval of
Chapter 2, Problem 9(choose chapter or problem)
Assume that the number of messages input to a communication channel in aninterval of duration t seconds is Poisson distributed with parameter 0.3t. Com-pute the probabilities of the following events:(a) Exactly three messages will arrive during a 10 s interval(b) At most 20 messages arrive in a period of 20 s(c) The number of message arrivals in an interval of 5 s duration is betweenthree and seven.
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