. In the Journal of Transportation Engineering (June 2005), the number of non-home-based trips per day taken by drivers in Korea was modeled

Question

. In the Journal of Transportation Engineering (June 2005), the number of non-home-based trips per day taken by drivers in Korea was modeled using the Poisson distribution with λ = 1.15. What is the probability that a randomly selected Korean driver will take two or more non-home-based trips per day?

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Savannah 1 week 2021-09-14T19:23:48+00:00 1 Answer 0

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    2021-09-14T19:25:34+00:00

    Answer:

    So, the probability  that a randomly selected Korean driver will take two or more non-home-based trips per day is P=0.32.

    Step-by-step explanation:

    We know that the number of non-home-based trips per day taken by drivers in Korea was modeled using the Poisson distribution with λ = 1.15.

    We have the Poisson formula:

    P(X=k)=\frac{\lambda^k\cdot e^{-\lambda}}{k!}

    We calculate:

    P(X\geq 2)=1-P(X=0)-P(X=1)\\\\P(X\geq 2)=1-\frac{1.15^0\cdot e^{-1.15}}{0!}-\frac{1.15^1\cdot e^{-1.15}}{1!}\\\\P(X\geq 2)=1-0.32-0.36\\\\P(X\geq 2)=0.32

    So, the probability  that a randomly selected Korean driver will take two or more non-home-based trips per day is P=0.32.

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