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Ambulance response time. Geographical Analysis (Jan. 2010)
Chapter 3, Problem 67E(choose chapter or problem)
Problem 67E
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.
Questions & Answers
QUESTION:
Problem 67E
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.
ANSWER:
Solution:
Step 1 of 3:
Let, A: {Ambulance can travel to location A under 8 minutes}
B: {Ambulance can travel to location B under 8 minutes}
C: {The Ambulance is busy}
Then, P(A) = 0.58, P(B) = 0.42, and P(C) = 0.3