Cactus Baseball Stadium is trying to determine how many ticket scanners are needed to admit fans entrance. The stadium has 4 outfield bleacher sections: sections 1 and 3 in right field and sections 2 and 4 in left field. Fans use the backside of the stadium's entrance to get to these 4 sections. 40 people per minute show up to a game with their ticket (assume uniform distribution of location - that is each fan is equally likely to go to section 1, 2, 3, or 4). On average, it takes 5 seconds per person to process their ticket at a scanner and pass through the turnstiles. The backside stadium entrance is designed to hold up to 50 people waiting before getting to the ticket scanners.
Would this be an example of a finite or an infinite queue? And why?