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At one airport, the flights arrivals obey an exponential distribution with a mean time of 4.5 minutes between flights. which equation describes the probability that two successive arrivals occur within 2.0 minutes of each other?

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nobillionaireNobley
An exponential distribution with a parameter, λ, is given by 

[tex]F_X(x)=1-e^{-\lambda x}, \ \ \ x\geq2[/tex]

Given that the flights arrivals obey an exponential distribution with a mean of 4.5 minutes between flights.

The probability that two successive arrivals occur within 2.0 minutes of each other is given by

[tex]P(X\leq2)=F_X(2) \\ \\ =1-e^{-4.5\times2}=1-e^{-9}[/tex]

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