32. The customers arrive into a large departmental store and wander around the place selecting items of household and other use, and then proceed to checkout stands with a basket of items. There are 4 checkout counters each of which can serve a customer in six minutes, on the average. Assume that the customers arrive at a rate of one every three minutes.

Calculate the following:

(a) the probabilities of 0, 1, 2, 3, 4, and 5 customers in the system.

(b) the average number of customers in the store.

(

c) the average number of customers waiting for a checkout.

(

d) the average number of customers being serviced.

(e) the average waiting time in the system per customer.

(t) the average waiting time in the queue.