The police set up a breath-testing checkpoint on a Saturday night. All motorists going through the checkpoint are stopped and breath-tested. Assume each motorist tests positive for excess alcohol with probability p, independently of other motorists, and an average of 300 motorists per hour pass through the checkpoint. Let X be the number of motorists who are checked in a period of two hours. Which of the following is the most suitable model for X?

a. X ∼ Geometric(p).

b. X ∼ Binomial(300, p).

c. X ∼ NegBin(300, p).

d. X ∼ Poisson(300).

e. X ∼ Poisson(600).