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:

Immunoglobulins

Proteins in the blood plasma functioning as antibodies that play a crucial role in the immune response.

Antinuclear Antibodies

are autoantibodies that target substances within the nucleus of cells, indicative of autoimmune diseases.

Sedimentation Rate

A blood test that measures how quickly red blood cells settle at the bottom of a test tube, indicating the presence of inflammation in the body.

Fibrin

A fibrous, non-globular protein involved in the clotting of blood, formed by the action of the enzyme thrombin on fibrinogen.