Question
An internet service provider uses 50 modems to serve the needs of 1000 customers. It is estimated that at a given time, each customer needs
An internet service provider uses 50 modems to serve the needs of 1000 customers. It is estimated that at
a given time, each customer needs a connection with probability 0.01, independently of other customers.
(a) What is the PMF of the number of modems in use at the given time?
(b) Repeat part(a) by approximating the PMF of the number of customers that needs a connection with
a Poisson PMF.
(c) What is the probability that there are more customers needing a connection than there are modems?
Provide an exact as well as approximate formula based on the Poisson approximation of part(b).
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College Algebra Graphs and Models
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
5th edition
321845404, 978-0321791009, 321791002, 978-0321783950, 321783956, 978-0321845405
