. 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?
do i do it on a graph?
step-by-step explanation:
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:
[tex]P(X=k)=\frac{\lambda^k\cdot e^{-\lambda}}{k!}[/tex]
We calculate:
[tex]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[/tex]
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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