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Math Help - poisson probability distribution

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    poisson probability distribution

    Im not quite sure about this can someone please give me a hint? Cars arriving for gasoline at a shell station follow a poisson distribution with a mean of 5 per hour. what is the probability that over the next hour only one car will arrive.
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    Quote Originally Posted by jobear View Post
    Im not quite sure about this can someone please give me a hint? Cars arriving for gasoline at a shell station follow a poisson distribution with a mean of 5 per hour. what is the probability that over the next hour only one car will arrive.
    Let X be the random variable number of cars arriving in one hour.

    Substitute \mu = 5 into the Poisson formula:

    \Pr(X = x) = \frac{e^{-5} \, 5^x}{x!}.

    You want Pr(X = 1).
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