Consider a single-server queue in which customers arrive according to a Poisson process with rate 1 per minute. The service time is according to a general distribution with mean 0.5 minutes. Assume that 50% of the time system is idle (no customer is in the system). (a) what is the average number of busy servers? (b) what is the average amount of time that the system is busy?

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.