Question:Two types of vehicle use the university central bus station: Uni-link buses and National Express coaches.a) On average a National Express coach arrives every two hours. What is the probability that only one bus will arrive in a four hour period?b)On the U1 Uni-link bus route buses either go to the airport or to the docks. Other Uni-link routes do not go to the airport. At the bus station half of the U1 buses which arrive are going to the airport. At midday 10% of the Uni-link buses are full. Of these particular buses 30% are airport buses on the U1 route. U1 buses make up 40% of the Uni-link arrivals at the bus station. What is the probability that a bus is full at midday given that it is an Airport U1 bus?c) On average a certain number k of National Express coaches go to Bournemouth every day. It is found that the probability of n coaches going to Bournemouth in a day is e^(-k) . What is n?