A company has started a phone service that uses overseas doctors to provide emer

Question

A company has started a phone service that uses overseas doctors to provide emergency medical consultations. The responding doctors are based in a country with low wages but with a highly skilled pool of physicians. Responding to each call takes on average 15 minutes. At any given time, there are 4 doctors overseas on duty. The average and standard deviation of inter-arrival times for incoming calls is 5 minutes. The company receives $50 from the patient’s insurance company for each consultation. If one of the 4 overseas doctors are available, the firm pays $20 to the doctor and makes $30 in profit. If no doctor is available overseas, the call is rerouted to the U.S. where a local physician answers the question. A local physician is always available to take a call. In this case, the firm pays the $50 to the local physician, so there’s no profit for the company.

A. What is the probability of a call being answered by a physician in the US?

Explanation / Answer

Solution:

The percentage of calls being answered by a physician in the US

r=p/a =15/5=3, m=4.

p4(3)=0.2061=20.61%

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