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Unformatted text preview: given by the arrival rate. This result follows from the approximation of the Binomial distribution by the Poisson distribution. Specically, divide each unit time into a large number n of smaller intervals, so that for a small enough interval, there is either 0 or at most 1 call in that interval. Then these n time intervals are Bernoulli trials with success being a call in each interval. We do not know n or p but we do know = np . Thus, k calls per unit time is given by e- k /k !. Now, suppose we know on the average there are 2 calls per second. Find the probability of having at most 3 calls in 5 seconds. (Hint: Find the average number of arrivals in 5 seconds.)...
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- Fall '10