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

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Definitions:

Cones

Photoreceptor cells in the retina of the eye responsible for color vision and visual acuity under bright light conditions.

Visual Pigment

Molecules in photoreceptor cells of the eyes that undergo chemical changes upon absorbing light, initiating the process of vision.

Rods

Specialized photoreceptor cells in the retina that are responsible for vision at low light levels.

Rhodopsin

A light-sensitive pigment found in rod cells of the retina, crucial for vision in low light conditions.