I solved the following problem and just want to make sure my answer is correct.
Cars that travel along a certain road follow a Poisson Process with rate 9 cars/min. If a cow takes 12 seconds to cross the road, what is the probability that the cow gets hit by a car? (asumme that if a car passes while the cow is crossing, it is unable to stop in time and the cow gets hit).
So I compute
$P(x(\frac{12}{60})>0)=1-P(x(0.2)=0)=1-e^{-9(0.2)}(\frac{(9*0.2)^0}{0!})=1-e^{-1.8}$