Customers Enter the Waiting Line to Pay for Food as They

question 6

Multiple Choice

Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis.The arrival rate follows a Poisson distribution, while service times follow an exponential distribution.If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what proportion of the time is the server busy?

• A)0.43
• B)0.57
• C)0.75
• D)0.25

---

Definitions:

Deshielded Proton

A proton in an NMR spectrum that appears at lower field due to its electron cloud being less shielded from external magnetic fields, often indicating an electron-withdrawing group nearby.

Farthest Downfield

In NMR spectroscopy, refers to the signal appearing at the lowest field strength, typically associated with environments experiencing the greatest deshielding.

Signal Intensity

In the context of spectroscopy or imaging, it refers to the magnitude of a detected signal, indicating the presence or concentration of a substance.

Magnetic Field

A vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.