a) What is the probability that the next arrival will come

i)before 1:00 p.m.,

(ii) between 1:00 and 2:00 p.m.,

(iii) (1%) after 2:00 p.m.?

b) Suppose that no additional customers arrive before 1:00 p.m. Now what is the probability that the next arrival will come between 1:00 and 2:00 p.m.?

c) What is the probability that the number of arrivals between 1:00 and 2:00 p.m. will be

(i) 0,

(ii)1,

(iii) 2 or more?

d) Suppose that both servers are serving customers at 1:00 p.m. What is the probability that neither customer will have service completed

(i) before 2:00 p.m.,

(ii) before 1:10 p.m.,

(iii) before 1:01 p.m.?

Suppose that a queueing system has two servers, an exponential interarrival time distribution with a mean of 2 hours, and an exponential service-time distribution with a mean of 2 hours for each server. Furthermore, a customer has just arrived at 12:00 noon