Question

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

• A. $\frac{1}{16}$
• B. $\frac{3}{16}$
• C. $\frac{3}{4}$
• D. $\frac{1}{4}$

Answer 1

Answer: (B)

$\frac{3}{16}$

Answer 2

The correct option is (B): $\frac{3}{16}$