In a M/M/1 system, the inter-arrival time of dumpers to a shovel follows exponential distribution with a mean arrival rate of 9 dumpers per hour. The service time of the shovel follows exponential distribution with a mean service rate of 12 dumpers per hour. The probability that exactly one dumper is available to the shovel is
- \(\frac{1}{16}\)
- \(\frac{3}{16}\)
- \(\frac{3}{4}\)
- \(\frac{1}{4}\)
The Correct Option is B
Solution and Explanation
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