2. A bank has two tellers. When Taha enters the bank, both tellers are busy (serving...
When you enter the bank, you find that there are only two tellers, both busy serving other customers, and that there are no other customers in queue. Assume that the service times for you and for each of the customers being served are independent identically distributed exponential random variables, with parameter 1. What is the expected time from your arrival until you and the other two customers are all finished being served?
4. When John enters the bank office, there are four customers waiting in line and one customer is being served. There is a single clerk and the service time is exponentially distributed with λ-10 customer per hour, independent of everything else. (a) (2 points) What is the average service time per customer? (b) (4 points) What is the distribution of John's waiting time? (c) (4 points) Calculate the expected value and variance of John's waiting time. (d) (10 points) It...
4. When John enters the bank office, there are four customers waiting in line and one g served. There is a single distributed with A10 customer per hour, independent of everything else. (a) (2 points) What is the average service time per customer? (b) (4 points) What is the distribution of John's waiting time? (c) (4 points) Calculate the expected value and variance of John's waiting time (d) (10 points) It has been 15 minutes and now John is the...