During off hours, cars arrive at a highway service station at an average rate of 5 cars per 10 minutes. The number of cars arriving at the service station is distributed according to a Poisson distribution.
(a) What is the probability that during the next minute three cars will arrive?
(b) What is the probability that during the next five minutes three cars will arrive?
(c) What is the probability that during the next five minutes at least two cars will arrive?