What would be the probability function for this?

``Scandals of a celebrity are distributed uniformly throughout the year with an average of 1 per every 90 days.

1. Calculate the probability that 5 such scandals occurred in a period of 360 days? ``

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  • 1 decade ago
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    I would use the poisson distribution.

    P(x) = (λ^x e^-λ)/x!

    x = 0, 1, 2, ...

    λ is the parameter of the distribution.

    So here, λ = 1 per 90 days or 4 per 360 days.

    P(5) = (4^5 e^-4)/5! = 0.1563 ~ 15.63%

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