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Math Help - A problem related to Poisson process

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    A problem related to Poisson process

    Hi all, I have a probability problem. Can you help me? Thank you!

    Here is the problem:

    Consider the queueing system, there are n customers 1, 2, ...N.
    Customer 1 arrives in accordance with a Poisson process with rate Lamda, customer 2 arrives in accordance with a Poisson process with rate Lamda,..., customer N arrives in accordance with a Poisson process with rate Lamda .

    What is the distribution in which at least one customer arrive at time t?
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    Quote Originally Posted by quacam09 View Post
    Hi all, I have a probability problem. Can you help me? Thank you!

    Here is the problem:

    Consider the queueing system, there are n customers 1, 2, ...N.
    Customer 1 arrives in accordance with a Poisson process with rate Lamda, customer 2 arrives in accordance with a Poisson process with rate Lamda,..., customer N arrives in accordance with a Poisson process with rate Lamda .

    What is the distribution in which at least one customer arrive at time t?
    This problem has been asked and received replies at multiple websites.
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