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The Bull City Buglers coach is concerned that the gate is not fast enough to seat the game. There are thousands of seats in the stadium, and only one gate to let in the fans. In particular, he knows there is a Monster Truck Derby earlier in the morning, with lots of broken cars to be cleared from the ice hockey rink. This means that he likely only has 2 hours before the event to open the gate & let everyone in. At the gate, fans must be checked to see if they are carrying their team jersey. If they have their Jersey, they are let in, and if they do not have their jersey, they are not let in.
If he is concerned about the number of people who can be successfully let through the gate, in a certain period of time, and given historic rates of success in sorting the fans with the jerseys, which distribution should he utilize to understand whether or not he will succeed?
a. Poisson b. Normal c. Exponential d. Binomial
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