Q9. A tailor specializes in ladies dresses. The number of customers approaching the tailor appears to be Poisson distributed with a mear of 6 customers per hour. The tailor attends the customers on a first come first serve basis and the customers wait if the need be. The tailor can attend the customers at an average rate of 10 customers per hour with a service rate exponentially distributed. Required: a. Find the probubility of the number of arrivals (0 through 5) during a 30 minute intcrval. g. What is the expected no. of customers waiting for tailor's services? b. Uitilization parameter. c. The probability that the queuing system is idle. h. How much time the customer should spend in the queue? d. The average time that the tailor is free on a 10 hour i. What is the expected time a customer would spend in the tailor's shop? working day. c. The probability associated with the no. of customers ( 0 through 5 ) in the queuing system. j. What is the average length of queues that have at least one customer? f. Expected no. of customers in the tailor shop