I was thinking maybe a gamma, like so:

$\displaystyle \frac{1}{(\frac{2}{3})^{2}}\int_{2}^{\infty}te^{\f rac{-t}{\frac{2}{3}}}dt=.199$

but that does not seem correct.

$\displaystyle \frac{2}{3}\int_{2}^{\infty}e^{\frac{-2}{3}t}dt=e^{\frac{-4}{3}}$

But this would be fine if the problem said, "what is the probability that the time between arrivals of any two cars is at least two minutes.

It's the "arrival of a car and the second after that is at least two minutes" I am unsure of.

Any ideas what I am overlooking. I feel rather obtuse on this. MrF, what is my oversight/mental block?