Please solve this questions:

Question 3 Mark: 1x5 = 5 A university cafeteria is a selfservice facility in which a customer selects the food items hefshe wants and pays the cashier following a single line. Customers arrive on average ever: after 2.5 minute that apgroximatelx follows the Poisson distribution. The single cashier ringing up sales takes about 2 minutes per customer, following the negative exponential distribution. i. What is the utilization rate of serving the customer? I i. \"That is the average number of customers in the system? iii. 1What is the average number of customers in the waiting line? iv. What is the probability of more than 6 customers in the system? v. 1What is the probability of spending more than 10 minutes in the system