Question
In: Statistics and Probability
For the next 7 questions, please refer to the following information. Mr. Cherry owns a gas...
For the next 7 questions, please refer to the following
information.
Mr. Cherry owns a gas station on a highway in Vermont. In the
afternoon hours, there are, on average, 30 cars per hour passing by
the gas station that would like to refuel. However, because there
are several other gas stations with similar prices on the highway,
potential customers are not willing to wait—if they see that all of
the pumps are occupied, they continue on down the road.
The gas station has three pumps that can be used for fueling
vehicles, and cars spend four minutes, on average, parked at a pump
(filling up their tank, paying, etc.).
d. What is the probability that all three pumps are being used by vehicles?
- A. 0.1895
- B. 0.1650
- C. 0.1458
- D. 0.2105
e. How many customers are served every hour?
- A. 23.7
- B. 25.6
- C. 12.7
- D. 16.7
f. What is the utilization of the pumps?
- A. 0.63
- B. 0.83
- C. 0.53
- D. 0.73
g. How many pumps should it have to ensure that it captures at least 98 percent of the demand that drives by the station?
- A. 6
- B. 2
- C. 4
- D. 8
Solutions
orchestra answered 1 year agoRelated Solutions
For the next 7 questions, please refer to the following information. Mr. Cherry owns a gas...
For the next 7 questions, please refer to the following
information.
Mr. Cherry owns a gas station on a highway in Vermont. In the
afternoon hours, there are, on average, 30 cars per hour passing by
the gas station that would like to refuel. However, because there
are several other gas stations with similar prices on the highway,
potential customers are not willing to wait—if they see that all of
the pumps are occupied, they continue on down the road....
Mr. Cherry owns a gas station on a highway in Vermont. In the afternoon hours, there...
Mr. Cherry owns a gas station on a highway in Vermont. In the
afternoon hours, there are, on average, 30 cars per hour passing by
the gas station that would like to refuel. However, because there
are several other gas stations with similar prices on the highway,
potential customers are not willing to wait—if they see that all of
the pumps are occupied, they continue on down the road. The gas
station has three pumps that can be used for...
Mr. Cherry owns a gas station on a highway in Vermont. In the afternoon hours, there...
Mr. Cherry owns a gas station on a highway in Vermont. In the
afternoon hours, there are, on average, 30 cars per hour passing by
the gas station that would like to refuel. However, because there
are several other gas stations with similar prices on the highway,
potential customers are not willing to wait—if they see that all of
the pumps are occupied, they continue on down the road.
The gas station has three pumps that can be used for...
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