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Math Help - Maths problem

  1. #1
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    Maths problem

    The number of phone calls received at a certain residence in any period of t hours is a Poisson
    random variable with parameter lambda = ut for some u > 0. What is the probability that no calls are
    received during a period of t hours? Denoting by T the time (in hours) at which the rst call after
    time zero is received, write down an expression for Pr(T < t). What is the name of the distribution
    of the random variable T?

    Can anyone help with this problem?
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  2. #2
    MHF Contributor
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    Re: Maths problem

    Hey wrexlive1.

    Hint: Do you know the waiting time distribution between successive events (Hint: Look at the exponential distribution or at waiting times in your notes).
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