Customers arrive at the veryfast bank as a poisson process, Basic Statistics

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Customers arrive at the veryfast bank as a poisson process

Customers arrive at the Veryfast Bank as a Poisson process of rate λ customers per minute. Each arriving customer is immediately served by a teller. After being served, each customer immediately leaves the bank. The time a customer spends with a teller is called the service time. If the service time of a customer is exactly two minutes, what is the PMF of the number of customers N(t) in service at the bank at time t?

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Basic Statistics: Customers arrive at the veryfast bank as a poisson process

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