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 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.

.

How many operators should be hired to meet this objective?

.

Given your answer to part

(

),

what is the probability that all the operators are idle?

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