A consultation firm has one consultant; Clients arrive at the firm according to the Poisson input process at an average of 2 per hour. The service time follows an exponential distribution with a mean of 10 minutes.

(Note:-Only decimal numbersare recognized

-Do not Include units

- work out with hours

- Round off your answers to 4 decimal places)

a)What isthe average number of clients in the firm?

Answer for part 1

b)What is the average number of clients waiting for service?

Answer for part 2

c) What is theaverage waiting time in the queue of an arrival?

Answer for part 3

d)What is theaverage time an arrival spends in the system?

Answer for part 4

e)What is the proportion of time the firm is expected to be idle?

Answer for part 5