Quick Clean Rooter Cleans Out Clogged Drains

question 56

Essay

Quick Clean Rooter cleans out clogged drains. Due to the competitive nature of the drain cleaning business, if a customer calls Quick Clean and finds the line busy, they immediately try another company and Quick Clean loses the business.
Quick Clean management estimates that on the average, a customer tries to call Quick Clean every three minutes and the average time to take a service order is 200 seconds. The company wishes to hire enough operators so that at most 4% of its potential customers get the busy signal.
a.How many operators should be hired to meet this objective?
b.Given your answer to a), what is the probability that all the operators are idle?

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Definitions:

Conversational Analyses

A method for studying the construction and patterns of social interaction within natural conversation.

Applause

The expression of approval or admiration for someone or something through clapping.

Ethnomethodological

Relates to a sociological method that studies the ways people make sense of their everyday lives.

Conversational Analysis

A methodology in sociolinguistics and sociology that studies the structure and patterns of conversation to understand social interactions.