telephone calls arriving

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Suppose that telephone calls arriving at a
particular switchboard follow a Poisson
process with an average of 4 calls coming per
minute.
What is the probability that up to a minute
will elapse by the time 2 calls have come to
the switchboard using the Gamma
distribution?
What is the probability that less than 30
seconds will elapse between successive calls
coming to the switchboard?
What is the probability of having at least 3
calls arrive to the switchboard in one minute?
What is the probability of having at most 9
calls arrive to the switchboard in three
minutes?
Transcribed Image Text:Suppose that telephone calls arriving at a particular switchboard follow a Poisson process with an average of 4 calls coming per minute. What is the probability that up to a minute will elapse by the time 2 calls have come to the switchboard using the Gamma distribution? What is the probability that less than 30 seconds will elapse between successive calls coming to the switchboard? What is the probability of having at least 3 calls arrive to the switchboard in one minute? What is the probability of having at most 9 calls arrive to the switchboard in three minutes?
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