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t is common in banks for bank tellers to have to access a single central cash wi

ID: 446625 • Letter: T

Question

t is common in banks for bank tellers to have to access a single central cash window in order to get cash for customers. Consider such a bank, which has seven tellers, each requiring service from the cash window approximately 19 times per hour (assume Poisson arrivals) and an average time being served at the window (assume negative exponential distribution) of 40 seconds. How busy will the server at the central cash window be, on average (i.e., what percentage of the time should they expect to be serving someone)? a. 50% b. 60% c. 70% d. 80% e. 90%

Explanation / Answer

c. 70%