# 4. When John enters the bank office, there are four customers waiting in line and one...

###### Question:

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 first person in queue (Y4- 15). Calculate the probability that John waits more than 30 minutes in total? What is John's expected waiting time?

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