Statistics and Steady-state probability question on fuelling station and customer The Next CEO of Stack OverflowWhat is the probability that a customer waits for lesser than 3 minutes?Exponential distribution - lack of memoryLink between exponential distribution and poisson probability mass functionProbability distribution of number of waiting customers in front of a counterSimple $M/M/1$ service timeHow do I determine the probability of a specific wait time in a queuing system?Probability that one station becomes empty before another.Probability Poisson Distribution Questionqueuing theory for taskQueuing theory for task 1
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Statistics and Steady-state probability question on fuelling station and customer
The Next CEO of Stack OverflowWhat is the probability that a customer waits for lesser than 3 minutes?Exponential distribution - lack of memoryLink between exponential distribution and poisson probability mass functionProbability distribution of number of waiting customers in front of a counterSimple $M/M/1$ service timeHow do I determine the probability of a specific wait time in a queuing system?Probability that one station becomes empty before another.Probability Poisson Distribution Questionqueuing theory for taskQueuing theory for task 1
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A refueling station is served by a single pump machine for providing service to the petrol vehicles. The arrival process has shown that the distribution of times between arrivals is negative exponential with a mean of 10 minutes. Similarly, service times were found to be adequately described by a negative exponential distribution with a mean of 6 minutes. Waiting space is unlimited. Determine:
- Probability that the customer has to wait.
- Mean number of customer in the system.
- Percentage utilization of the service station.
- Steady-state probability of having four customers in the system.
probability statistics
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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add a comment |
$begingroup$
A refueling station is served by a single pump machine for providing service to the petrol vehicles. The arrival process has shown that the distribution of times between arrivals is negative exponential with a mean of 10 minutes. Similarly, service times were found to be adequately described by a negative exponential distribution with a mean of 6 minutes. Waiting space is unlimited. Determine:
- Probability that the customer has to wait.
- Mean number of customer in the system.
- Percentage utilization of the service station.
- Steady-state probability of having four customers in the system.
probability statistics
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
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Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
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– José Carlos Santos
Mar 28 at 10:36
add a comment |
$begingroup$
A refueling station is served by a single pump machine for providing service to the petrol vehicles. The arrival process has shown that the distribution of times between arrivals is negative exponential with a mean of 10 minutes. Similarly, service times were found to be adequately described by a negative exponential distribution with a mean of 6 minutes. Waiting space is unlimited. Determine:
- Probability that the customer has to wait.
- Mean number of customer in the system.
- Percentage utilization of the service station.
- Steady-state probability of having four customers in the system.
probability statistics
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
A refueling station is served by a single pump machine for providing service to the petrol vehicles. The arrival process has shown that the distribution of times between arrivals is negative exponential with a mean of 10 minutes. Similarly, service times were found to be adequately described by a negative exponential distribution with a mean of 6 minutes. Waiting space is unlimited. Determine:
- Probability that the customer has to wait.
- Mean number of customer in the system.
- Percentage utilization of the service station.
- Steady-state probability of having four customers in the system.
probability statistics
probability statistics
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
asked Mar 28 at 10:33
Mukesh JhaMukesh Jha
1
1
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Mukesh Jha is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Mar 28 at 10:36
add a comment |
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Mar 28 at 10:36
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Mar 28 at 10:36
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Mar 28 at 10:36
add a comment |
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Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
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– José Carlos Santos
Mar 28 at 10:36