Customers Arrive Every Three Minutes Governed by a Poisson Distribution

question 3

Multiple Choice

Customers arrive every three minutes governed by a Poisson distribution.A single server is capable of handling twenty-five customers per hour and this service time is exponentially distributed.What is the likelihood that the server is not busy at any given time?

• A)less than or equal to .1
• B)greater than .1 but less than or equal to .15
• C)greater than .15 but less than or equal to .25
• D)greater than .25

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Definitions:

Personality Traits

Inherent characteristics that influence an individual's patterns of thoughts, feelings, and behaviors.

Brain Scans

Medical imaging techniques used to view structures and activities within the human brain, helping in the diagnosis and study of neurological conditions.

Theoretical Concept

An abstract idea or a set of thoughtful notions formulated to explain events, behaviors, or phenomena.

Inborn Instincts

Natural or inherent impulses that dictate the behavior of organisms, often directed towards survival and reproduction.