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Compute the probabilities of the following events? homework help

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Assume that the number of messages input to a communication channel in an interval of duration t
seconds is Poisson distributed with parameter 0.3t.  Compute the probabilities of the following 
events: 
(a) Exactly two messages will arrive during a five-second interval, 
(b) At most eight messages arrive in a period of ten seconds, 
(c) The number of message arrivals in an interval of duration twenty seconds is between eight and 
twelve. 
asked 7 years ago in Computer Science by anonymous

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