Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate α = 14 per hour. Suppose that with probability 0.5 an arriving vehicle will have no equipment violations.
(b) For any fixed y ≥ 14, what is the probability that y arrive during the hour, of which fourteen have no violations?
(c) What is the probability that ten "no-violation" cars arrive during the next hour?

Question

Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate α = 14 per hour. Suppose that with probability 0.5 an arriving vehicle will have no equipment violations.
(b) For any fixed y ≥ 14, what is the probability that y arrive during the hour, of which fourteen have no violations?
(c) What is the probability that ten "no-violation" cars arrive during the next hour?