Steve Jackman is in-charge of maintaining a fleet of FOUR school buses. On average, a bus will need repair every 10 days. The average time required to repair work is 24 hours. Both the time between needed repairs and the time to perform repairs are expected to follow exponential distributions.

(a)Check whether this queuing situation satisfies the steady state condition.

Suppose this queuing system satisfies the steady state condition.

(b)What is the average time a bus will be out of service needing repair?

(c)On average, how many busses will be waiting for repair at any given time?

(d)What proportion of the time will all buses be operational?