answer all questions with explanation

Consider a Fortune Teller tent at the Adelaide Show. Inside the tent there are two Tellers and 3 additional waiting spaces. Potential customers arrive as a Poisson process with rate 6 per hour. Each reading lasts on average 15 minutes. . If customers arrive when the tent is full they leave and never come back; these customers are blocked. o If both tellers are occupied, but there is waiting space, customers elect to stay indepen- dently with probability 2/3, otherwise they do not wait and leave; these customers baalk. . Each customer is only willing to wait a certain time before walking out. These customers abandon. Assume the mean time before a waiting customer gives up and abandons is 10 minutes. In the following assume all times are exponentially distributed and that the system is in equi- librium. (a) What is the rate that customers abandon? (b) What is the proportion of customers who enter, but then abandon? (c) What proportion of potential customers are served or wait (i.e. neither baulk nor are blocked)? (d) What proportion of potential customers are served? [8 marks]