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Number of visits to an emergency center is modeled as a Poisson process with average number...

Number of visits to an emergency center is modeled as a Poisson process with average number of arrivals being 6 per hour. What is the probability that it will take more than 15 minutes for the next two arrivals?
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Number of visits to an emergency center is modeled as a Poisson process with average number of arrivals being 6 per hour. What is the probability that it will take more than 15 minutes for the next two arrivals?

Let X : Inter arrival time

X ~ exp(6/60)

i.e, X ~ exp(1/10)

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