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:

Nonverbal Communication

The process of conveying a message without the use of words, which can include facial expressions, body language, gestures, and even tone and pitch of voice.

Verbal Communication

The use of spoken or written words to convey messages, ideas, or feelings.

Connotative Meaning

The emotional and associative implications that a word or phrase may carry, in addition to its explicit or primary meaning.

Vernacularity

The quality of being expressed or conducted in the native language or dialect of a specific place or community.