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.

1. What is the probability that no requests for assistance are in the system? If required, round your answer to four decimal places. P₀ = fill in the blank 1
2. What is the average number of requests that will be waiting for service? If required, round your answer to four decimal places. L_q = fill in the blank 2
3. What is the average waiting time in minutes before service begins? If required, round your answer to nearest whole number. W_q = fill in the blank 3 min
4. What is the average time at the reference desk in minutes (waiting time plus service time)? If required, round your answer to nearest whole number. W = 30 min
5. What is the probability that a new arrival has to wait for service? If required, round your answer to four decimal places. P_w = 0.8333

PLEASE FILL IN THE BLANKS 1, 2, AND 3.