The Poisson process
independent Poisson random variables with means λ(tn+1 −tn). Note that properties (i) and (iii) imply that N(t) is Poisson with mean λt . Example. Customers arrive at a shop as a Poisson process with rate 20 per hour. In a half-hour period, calculate the probability that 4 customers arrive in the first 15 minutes and 6 in the next 15 minutes.
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