The distance between large cracks in a road follows a Poisson Process with an average of 3 cracks per kilometer. What is the probability that at most 1/2 kilometer will have to be covered before the...

The distance between large cracks in a road follows a Poisson Process with an average of 3 cracks per kilometer. What is the probability that at most 1/2 kilometer will have to be covered before the next large crack appears? [Note that distance is a continuous variable similar to time]

Extracted text: O 0.22313 O 0.47236 O 0.66939 O 0.52763 O 0.77686