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The reference desk of a university library receives requests for assistance

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The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 12 requests per hour.
a. What is the probability that no requests for assistance are in the system?

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a). Computation of the probability that no requests for assistance are in the system:-

Probability (P0) = 1 - (Arrival rate / Service rate)

= 1 - (10 / 12)

= 1 - 0.8333

= 0.1667