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Math Help - Poisson process - emergency call center question

  1. #1
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    Poisson process - emergency call center question

    Assume a Poisson process. An emergency call center gets 3 calls per minute average. What is the probability that the second call will come in 30 seconds and before 60 seconds have passed?

    This is what I know for sure. Use two poisson variables X and Y and then add them together (maybe using moment generating function?)

    X = time it takes for first call to come in
    Y = time it takes for second call to come in

    I'm not sure how to set up this problem and I guess I should use 3/2 as the poisson parameter? Thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Flipz4226 View Post
    Assume a Poisson process. An emergency call center gets 3 calls per minute average. What is the probability that the second call will come in 30 seconds and before 60 seconds have passed?

    This is what I know for sure. Use two poisson variables X and Y and then add them together (maybe using moment generating function?)

    X = time it takes for first call to come in
    Y = time it takes for second call to come in

    I'm not sure how to set up this problem and I guess I should use 3/2 as the poisson parameter? Thanks
    In such a process the interval between calls has an exponential distribution with mean time between arrivals of 20 seconds.

    CB
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