Paul Fenster owns and manages a? chili-dog and softdrink stand near the Kean U. campus. While Paul can service 30 customers per hour on the average ?(muμ?), he gets only 18 customers per hour ?(lambdaλ?). Because Paul could wait on 67?% more customers than actually visit his? stand, it? doesn't make sense to him that he should have any waiting lines.

Paul hires you to examine the situation and to determine some characteristics of his queue. After looking into the? problem, you find it follows the six conditions for a?single-channel waiting line.

a) The average number of customers in the system? = ___? customers? please write answer as is. I will round myself

b) Determine the average numbers of customers waiting in the queue?

c) The average time customers spends waiting in the queue?

d) The probability of the system being engaged?