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Math Help - poisson distribution

  1. #1
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    poisson distribution

    Having trouble with this one:

    The customer service counter at the bank has a mean of 5 customers arriving in a given hour, and the number of customers arrviing in an hour is known to be distributed as a poisson random variable

    a) what is the probability that the time between customers arriving is greater than a half hour
    b)what is the prob that the time btwn customers arriving is between 15 and 45 minutes


    Thanks for any help
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by limbo586 View Post
    Having trouble with this one:

    The customer service counter at the bank has a mean of 5 customers arriving in a given hour, and the number of customers arrviing in an hour is known to be distributed as a poisson random variable

    a) what is the probability that the time between customers arriving is greater than a half hour
    b)what is the prob that the time btwn customers arriving is between 15 and 45 minutes


    Thanks for any help
    If thew number of customers arriving per hour has a Poisson distribution with mean \mu, then the intervals between arrivals has an exponential distribution with mean time between arrivals of 1/\mu hours.

    CB
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