Cars arrive at a petrol station at an average rate of 30 per hour. Assuming that the number of cars arriving at the petrol station follows a poisson distribution, find the probability thata) more than 3 cars arrive during a 5 minute interval,b) more than 2 cars arrive in a 15 minute interval,c) less than 3 cars arrive during a 10 minute interval.

Cars arrive at a petrol station at an average rate of 30 per hour. Assuming that the number of cars arriving at the petrol station follows a Poisson distribution, find the probability that more than 3 cars arrive during a 5- minute interval, more than 2 cars arrive in a 15- minute interval, less than 3 cars arrive during a 10- minute interval