THE WRONG ANSWERS WERE GIVEN!!! 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...

THE WRONG ANSWERS WERE GIVEN!!!

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
   =


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
   =


3. What is the average waiting time in minutes before service begins? If required, round your answer to nearest whole number.
   
   
   
   W_q
   =


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=
   
   
   
   1. What is the probability that a new arrival has to wait for service? If required, round your answer to four decimal places.
      
      
      
      P_w
      =