Ambulance response time. Geographical Analysis (Jan., 2010) presented a study of

Question

Ambulance response time. Geographical Analysis (Jan., 2010) presented a study of Emergency Medical Services (EMS) ability to meet the demand for an ambulance. In one example, the researchers presented the following scenario. An ambulance station has one vehicle and two demand locations, A and B. The probability that the ambulance can travel to a location in under eight minutes is .58 for location A and .42 for location B. The probability that the ambulance is busy at any point in time is .3. a. Find the probability that EMS can meet demand for an ambulance at location A. b. Find the probability that EMS can meet demand for an ambulance at location B.

Explanation / Answer

a) Let A be an event that the demand for n ambulance can be met at location A.

Then P(A) = P(the ambulance is not busy)xP(the ambulance reaches location A under 8 mins)

=(1-0.3)x0.58 = 0.406

b) Similarly

Let B be an event that the demand for n ambulance can be met at location B.

Then P(A) = P(the ambulance is not busy)xP(the ambulance reaches location B under 8 mins)

= (1-0.3)*0.42 = 0.294

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