A New Shopping Mall Is Considering Setting Up an Information

question 59

Essay

A new shopping mall is considering setting up an information desk operated by two employees.Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour.It takes an average of 4 minutes to answer a question.It is assumed that arrivals are Poisson and answer times are exponentially distributed.
(a)Find the proportion of the time that the employees are busy.
(b)Find the average number of people waiting in line to get some information.
(c)Find the expected time a person spends just waiting in line to have his question answered.

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Definitions:

Same-Sex

Pertaining to a relationship or attraction between individuals of the same sex.

Blended

In the context of families, refers to a family unit created by the joining of two previously separate families, including children from previous relationships.

Couples Without Children

Refers to partnerships or marital unions where the pair has chosen not to have children, whether for personal, health-related, or other reasons.

Societal Reasons

Factors influenced by the collective customs, laws, and institutions within a society that affect individuals and communities.