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17 January, 10:13

A statistics professor receives an average of five e-mail messages per day from students. assume the number of messages approximates a poisson distribution. what is the probability that on a randomly selected day she will have no messages?

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  1. 17 January, 11:29
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    From the problem, we have the following given

    u = 5

    x = 0

    We use the Poisson distribution probability formula:

    P = (e^-μ) (μ^x) / x!

    Substituting

    P = (e^-5) (5^0) / 0!

    P = 0.0067

    The probability is 0.0067 or 0.67%
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