As we learned in the lecture, it is recommended you draw a picture of the underlined section of each question. Then draw a number line that will help you represent the entire statement. Hopefully, that will help you more easily get the correct answer.

13. What is the probability there are exactly 1 customer in line in a three-server model?

14. What is the probability there are fewer than 3 customers in line in a single server model?

15. What is the probability there is more than one customer in the line in a twoserver model?

20. How many employees are required to meet the account management departments goal of 90% of incoming calls being served immediately?

Use cells B2 and B3 to calculate Lambda and Mu. (Example: = 7/45) Lambda - Arrival Rate (Calls per Minute) Mu - Service Rate(Calls per Minute) Servers 1 2 3 Y Y Y % Time Server Busy (rho) Probability of 0 Y 0.503 0.515 1 0.341 Y Y 2 0.333 0.110 0.036 0.113 3 Y 0.025 4 Y 0.012 0.005 5 Y 0.0003 0.001 0.0003 6 Y 0.00003 In the system CUSTOMERS Number in System n(s) Number in Line n(U) CUSTOMERS Y Y 0.67 0.01 TIME (Minutes) Y CUSTOMERS 0.74 0.08 TIME (Minutes) 4.83 0.53 TIME (Seconds) 289.7 31.7 TIME (Minutes) 4.36 Time in System t(s) Time in Line t(1) Y 0.06 Time in System t(s) Time in Line t(1) TIME (Seconds) Y Y TIME (Seconds) 261.5 3.5 Exercise 3 Sheet1 Sheet2