A waiting line meeting the M/M/1 assumptions has an arrival rate of 4 per hour and a service rate of 12 per hour. Find:
a. What is the probability that the waiting line is empty?
b. What is the probability that the waiting line is busy?
c. What is the average time a unit spends in the system (in hours)?
d. What is the average time a unit spends waiting (in hours)?
e. How many customers are likely to be in the system at any one time?
f. How many customers are waiting in the que?
Please answer all questions using M/M/1 Model (Waiting Line Model A)