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Cars arrive at a service station according to Poisson's distribution with a mean rate of 5 per hour. The service time per car is exponential with a mean of 10 minutes. At steady state, the average waiting time in the queue is
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- 10 minutes
- 20 minutes
- 25 minutes
- 50 minutes
Correct Option: D
Wq = | μ - λ |
where λ = 5/hr
μ = 6/hr
ρ = | = | |||
μ | 6 |
∴ Wq = | = | hr = 50 min | ||
6 - 5 | 6 |