Exercise 3 Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate or = 10 cars per hour. Suppose that with probability 50% an arriving vehicle will have no equipenint violations. a) What is the probability that exactly ten arrive during the hour and all ten have no violations? b) For any xed 3; 2 10, what is the probability that y arrive during the hour, of which ten have no violations? 0) What is the probability that ten ,,noviolation\" cars arrive during the next 45 minutes