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:

Weber

A reference to Max Weber, a German sociologist, philosopher, and political economist known for his theories on the structure of society.

Double Ghetto

A term referring to the dual burden faced by women who perform unpaid domestic labor at home in addition to their paid employment, highlighting a form of gender inequality.

Housework

Refers to domestic chores and tasks performed within the home, such as cleaning, cooking, and maintenance, traditionally undervalued and disproportionately assigned to women.

Factory

A building or complex where materials are manufactured or processed into finished products using machinery.