Question: 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

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 average, a customer tries to call Quick Clean every six minutes and the average time to take a service order is 250 seconds. The company wishes to hire enough operators so that at most 2% of its potential customers get the busy signal.

(a)

What is the smallest number of operators that should be hired to meet this objective?

operators

(b)

Given your answer to part (a), what is the probability that all the operators are idle? (Round your answer to four decimal places.)

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