A Local Bank Has Two Drive-Thru Teller Windows with an Essentially

question 35

Essay

A local bank has two drive-thru teller windows with an essentially unlimited queue length.They estimate that the arrival rate during their most busy time will average about 40 cars per hour.They also estimate they can serve an average of 50 cars per hour.Management wants to make sure that the system is operating efficiently.
a.What is the probability that there will be no cars in the system?
b.On average, how many cars are in the system?
c.How long would a car be waiting (in seconds) in the driveway, on average?

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Definitions:

Cytokine

Protein or peptide secreted by a cell that regulates the activity of neighboring cells.

Lymphocyte Proliferation

The rapid increase or multiplication of lymphocytes, a type of white blood cell, often in response to infection or disease.

Helper T Cells

A type of T cell that plays a central role in the immune response, helping to activate and direct other immune cells.

Macrophages

Large white blood cells that engulf and digest cellular debris, foreign substances, microbes, and cancer cells in a process called phagocytosis.