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.